%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : GEO127-1 : TPTP v8.1.0. Released v2.4.0. % 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 : n019.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 04:08:00 EDT 2022 % Result : Unsatisfiable 0.18s 0.41s % Output : CNFRefutation 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO127-1 : TPTP v8.1.0. Released v2.4.0. % 0.12/0.13 % 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 : n019.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 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 600 % 0.18/0.34 % DateTime : Sat Jun 18 06:40:54 EDT 2022 % 0.18/0.34 % CPUTime : % 0.18/0.38 # No SInE strategy applied % 0.18/0.38 # Auto-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S5PRR_RG_S04AN % 0.18/0.38 # and selection function SelectComplexExceptUniqMaxHorn. % 0.18/0.38 # % 0.18/0.38 # Presaturation interreduction done % 0.18/0.38 # Number of axioms: 90 Number of unprocessed: 90 % 0.18/0.38 # Tableaux proof search. % 0.18/0.38 # APR header successfully linked. % 0.18/0.38 # Hello from C++ % 0.18/0.38 # The folding up rule is enabled... % 0.18/0.38 # Local unification is enabled... % 0.18/0.38 # Any saturation attempts will use folding labels... % 0.18/0.38 # 90 beginning clauses after preprocessing and clausification % 0.18/0.38 # Creating start rules for all 5 conjectures. % 0.18/0.38 # There are 5 start rule candidates: % 0.18/0.38 # Found 4 unit axioms. % 0.18/0.38 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.18/0.38 # 5 start rule tableaux created. % 0.18/0.38 # 86 extension rule candidate clauses % 0.18/0.38 # 4 unit axiom clauses % 0.18/0.38 % 0.18/0.38 # Requested 8, 32 cores available to the main process. % 0.18/0.38 # There are not enough tableaux to fork, creating more from the initial 5 % 0.18/0.38 # Returning from population with 18 new_tableaux and 0 remaining starting tableaux. % 0.18/0.38 # We now have 18 tableaux to operate on % 0.18/0.41 # There were 7 total branch saturation attempts. % 0.18/0.41 # There were 0 of these attempts blocked. % 0.18/0.41 # There were 0 deferred branch saturation attempts. % 0.18/0.41 # There were 0 free duplicated saturations. % 0.18/0.41 # There were 7 total successful branch saturations. % 0.18/0.41 # There were 6 successful branch saturations in interreduction. % 0.18/0.41 # There were 0 successful branch saturations on the branch. % 0.18/0.41 # There were 1 successful branch saturations after the branch. % 0.18/0.41 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.18/0.41 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.18/0.41 # Begin clausification derivation % 0.18/0.41 % 0.18/0.41 # End clausification derivation % 0.18/0.41 # Begin listing active clauses obtained from FOF to CNF conversion % 0.18/0.41 cnf(i_0_175, plain, (open(ax2_sk3(X1)))). % 0.18/0.41 cnf(i_0_139, plain, (inner_point(ax0_sk8(X1),X1))). % 0.18/0.41 cnf(i_0_185, plain, (start_point(ax2_sk6(X1),X1))). % 0.18/0.41 cnf(i_0_151, plain, (~between_c(X1,X2,X3,X2))). % 0.18/0.41 cnf(i_0_199, negated_conjecture, (incident_o(sk26,sk25)|ordered_by(sk25,sk27,sk26)|ordered_by(sk25,sk26,sk27))). % 0.18/0.41 cnf(i_0_204, negated_conjecture, (~incident_o(sk26,sk25)|~ordered_by(sk25,X1,sk26))). % 0.18/0.41 cnf(i_0_203, negated_conjecture, (~incident_o(sk26,sk25)|~ordered_by(sk25,sk26,X1))). % 0.18/0.41 cnf(i_0_202, negated_conjecture, (ordered_by(sk25,sk27,sk26)|ordered_by(sk25,sk26,sk27)|~ordered_by(sk25,X1,sk26))). % 0.18/0.41 cnf(i_0_124, plain, (~inner_point(X1,X2)|~end_point(X1,X2))). % 0.18/0.41 cnf(i_0_133, plain, (~closed(X1)|~end_point(X2,X1))). % 0.18/0.41 cnf(i_0_144, plain, (ax0_sk11(X1,X2)!=X1|~end_point(X1,X2))). % 0.18/0.41 cnf(i_0_163, plain, (incident_o(X1,X2)|~start_point(X1,X2))). % 0.18/0.41 cnf(i_0_201, negated_conjecture, (ordered_by(sk25,sk27,sk26)|ordered_by(sk25,sk26,sk27)|~ordered_by(sk25,sk26,X1))). % 0.18/0.41 cnf(i_0_168, plain, (incident_o(X1,X2)|~finish_point(X1,X2))). % 0.18/0.41 cnf(i_0_115, plain, (incident_c(X1,X2)|~end_point(X1,X2))). % 0.18/0.41 cnf(i_0_134, plain, (closed(X1)|end_point(ax0_sk6(X1),X1))). % 0.18/0.41 cnf(i_0_123, plain, (incident_c(X1,X2)|~inner_point(X1,X2))). % 0.18/0.41 cnf(i_0_136, plain, (open(X1)|~end_point(X2,X1))). % 0.18/0.41 cnf(i_0_127, plain, (incident_c(X1,X2)|~meet(X1,X3,X2))). % 0.18/0.41 cnf(i_0_126, plain, (incident_c(X1,X2)|~meet(X1,X2,X3))). % 0.18/0.41 cnf(i_0_105, plain, (part_of(X1,X2)|~incident_c(ax0_sk1(X1,X2),X2))). % 0.18/0.41 cnf(i_0_135, plain, (end_point(ax0_sk7(X1),X1)|~open(X1))). % 0.18/0.41 cnf(i_0_174, plain, (incident_o(X1,X2)|~ordered_by(X2,X3,X1))). % 0.18/0.41 cnf(i_0_173, plain, (incident_o(X1,X2)|~ordered_by(X2,X1,X3))). % 0.18/0.41 cnf(i_0_177, plain, (incident_o(X1,X2)|~incident_c(X1,ax2_sk3(X2)))). % 0.18/0.41 cnf(i_0_137, plain, (X1=X2|open(X1)|~part_of(X1,X2))). % 0.18/0.41 cnf(i_0_176, plain, (incident_c(X1,ax2_sk3(X2))|~incident_o(X1,X2))). % 0.18/0.41 cnf(i_0_104, plain, (incident_c(ax0_sk1(X1,X2),X1)|part_of(X1,X2))). % 0.18/0.41 cnf(i_0_165, plain, (start_point(X1,X2)|ax2_sk1(X2,X1)!=X1|~incident_o(X1,X2))). % 0.18/0.41 cnf(i_0_170, plain, (finish_point(X1,X2)|ax2_sk2(X2,X1)!=X1|~incident_o(X1,X2))). % 0.18/0.41 cnf(i_0_125, plain, (inner_point(X1,X2)|end_point(X1,X2)|~incident_c(X1,X2))). % 0.18/0.41 cnf(i_0_103, plain, (incident_c(X1,X2)|~incident_c(X1,X3)|~part_of(X3,X2))). % 0.18/0.41 cnf(i_0_143, plain, (end_point(ax0_sk11(X1,X2),X2)|~end_point(X1,X2))). % 0.18/0.41 cnf(i_0_194, plain, (incident_o(X1,X2)|~incident_c(X1,underlying_curve(X2)))). % 0.18/0.41 cnf(i_0_167, plain, (start_point(X1,X2)|~ordered_by(X2,X1,ax2_sk1(X2,X1)))). % 0.18/0.41 cnf(i_0_172, plain, (finish_point(X1,X2)|~ordered_by(X2,ax2_sk2(X2,X1),X1))). % 0.18/0.41 cnf(i_0_193, plain, (incident_c(X1,underlying_curve(X2))|~incident_o(X1,X2))). % 0.18/0.41 cnf(i_0_121, plain, (end_point(X1,X2)|~incident_c(X1,X2)|~part_of(ax0_sk3(X2,X1),ax0_sk4(X2,X1)))). % 0.18/0.41 cnf(i_0_122, plain, (end_point(X1,X2)|~incident_c(X1,X2)|~part_of(ax0_sk4(X2,X1),ax0_sk3(X2,X1)))). % 0.18/0.41 cnf(i_0_150, plain, (X1=X2|~incident_c(ax0_sk13(X1,X2),X2)|~incident_c(ax0_sk13(X1,X2),X1))). % 0.18/0.41 cnf(i_0_198, plain, (X1=underlying_curve(X2)|~incident_o(ax2_sk10(X2,X1),X2)|~incident_c(ax2_sk10(X2,X1),X1))). % 0.18/0.41 cnf(i_0_166, plain, (incident_o(ax2_sk1(X1,X2),X1)|start_point(X2,X1)|~incident_o(X2,X1))). % 0.18/0.41 cnf(i_0_171, plain, (finish_point(X1,X2)|incident_o(ax2_sk2(X2,X1),X2)|~incident_o(X1,X2))). % 0.18/0.41 cnf(i_0_159, plain, (ordered_by(X1,X2,X3)|ordered_by(X1,X3,X2)|~between_o(X1,X4,X2,X3))). % 0.18/0.41 cnf(i_0_157, plain, (ordered_by(X1,X2,X3)|ordered_by(X1,X4,X3)|~between_o(X1,X2,X3,X4))). % 0.18/0.41 cnf(i_0_160, plain, (ordered_by(X1,X2,X3)|ordered_by(X1,X2,X4)|~between_o(X1,X3,X2,X4))). % 0.18/0.41 cnf(i_0_108, plain, (incident_c(X1,sum(X2,X3))|~incident_c(X1,X3))). % 0.18/0.41 cnf(i_0_107, plain, (incident_c(X1,sum(X2,X3))|~incident_c(X1,X2))). % 0.18/0.41 cnf(i_0_146, plain, (ax0_sk12(X1,X2)=sum(X2,X1)|~meet(X3,X2,X1))). % 0.18/0.41 cnf(i_0_162, plain, (between_o(X1,X2,X3,X4)|~ordered_by(X1,X3,X2)|~ordered_by(X1,X4,X3))). % 0.18/0.41 cnf(i_0_119, plain, (end_point(X1,X2)|incident_c(X1,ax0_sk3(X2,X1))|~incident_c(X1,X2))). % 0.18/0.41 cnf(i_0_158, plain, (ordered_by(X1,X2,X3)|ordered_by(X1,X3,X2)|~between_o(X1,X2,X3,X4))). % 0.18/0.41 cnf(i_0_161, plain, (between_o(X1,X2,X3,X4)|~ordered_by(X1,X3,X4)|~ordered_by(X1,X2,X3))). % 0.18/0.41 cnf(i_0_169, plain, (X1=X2|ordered_by(X3,X2,X1)|~finish_point(X1,X3)|~incident_o(X2,X3))). % 0.18/0.41 cnf(i_0_164, plain, (X1=X2|ordered_by(X3,X1,X2)|~incident_o(X2,X3)|~start_point(X1,X3))). % 0.18/0.41 cnf(i_0_142, plain, (X1=X2|X1=X3|X2=X3|~end_point(X3,X4)|~end_point(X2,X4)|~end_point(X1,X4))). % 0.18/0.41 cnf(i_0_120, plain, (end_point(X1,X2)|incident_c(X1,ax0_sk4(X2,X1))|~incident_c(X1,X2))). % 0.18/0.41 cnf(i_0_129, plain, (end_point(X1,X2)|~meet(X3,X4,X2)|~incident_c(X1,X2)|~incident_c(X1,X4))). % 0.18/0.41 cnf(i_0_128, plain, (end_point(X1,X2)|~meet(X3,X2,X4)|~incident_c(X1,X4)|~incident_c(X1,X2))). % 0.18/0.41 cnf(i_0_179, plain, (incident_o(X1,X2)|~between_o(X2,X3,X4,X5)|~incident_c(X1,ax2_sk4(X2,X5,X4,X3)))). % 0.18/0.41 cnf(i_0_117, plain, (end_point(X1,X2)|part_of(ax0_sk3(X2,X1),X2)|~incident_c(X1,X2))). % 0.18/0.41 cnf(i_0_118, plain, (end_point(X1,X2)|part_of(ax0_sk4(X2,X1),X2)|~incident_c(X1,X2))). % 0.18/0.41 cnf(i_0_141, plain, (sum(ax0_sk9(X1,X2),ax0_sk10(X1,X2))=X2|~inner_point(X1,X2))). % 0.18/0.41 cnf(i_0_154, plain, (end_point(X1,ax1_sk1(X1,X2,X3,X4))|~between_c(X4,X3,X2,X1))). % 0.18/0.41 cnf(i_0_153, plain, (end_point(X1,ax1_sk1(X2,X3,X1,X4))|~between_c(X4,X1,X3,X2))). % 0.18/0.41 cnf(i_0_155, plain, (inner_point(X1,ax1_sk1(X2,X1,X3,X4))|~between_c(X4,X3,X1,X2))). % 0.18/0.41 cnf(i_0_106, plain, (incident_c(X1,X2)|incident_c(X1,X3)|~incident_c(X1,sum(X3,X2)))). % 0.18/0.41 cnf(i_0_152, plain, (part_of(ax1_sk1(X1,X2,X3,X4),X4)|~between_c(X4,X3,X2,X1))). % 0.18/0.41 cnf(i_0_113, plain, (X1=sum(X2,X3)|~incident_c(ax0_sk2(X3,X2,X1),X1)|~incident_c(ax0_sk2(X3,X2,X1),X2))). % 0.18/0.41 cnf(i_0_114, plain, (X1=sum(X2,X3)|~incident_c(ax0_sk2(X3,X2,X1),X1)|~incident_c(ax0_sk2(X3,X2,X1),X3))). % 0.18/0.41 cnf(i_0_140, plain, (meet(X1,ax0_sk9(X1,X2),ax0_sk10(X1,X2))|~inner_point(X1,X2))). % 0.18/0.41 cnf(i_0_195, plain, (X1=underlying_curve(X2)|incident_o(ax2_sk10(X2,X1),X2)|incident_c(ax2_sk10(X2,X1),X1))). % 0.18/0.41 cnf(i_0_186, plain, (X1=X2|incident_c(X3,X4)|~incident_o(X3,ax2_sk7(X4,X2,X1))|~open(X4)|~incident_c(X2,X4)|~incident_c(X1,X4))). % 0.18/0.41 cnf(i_0_178, plain, (incident_c(X1,ax2_sk4(X2,X3,X4,X5))|~incident_o(X1,X2)|~between_o(X2,X5,X4,X3))). % 0.18/0.41 cnf(i_0_192, plain, (X1=X2|~ordered_by(X2,ax2_sk8(X1,X2),ax2_sk9(X1,X2))|~ordered_by(X1,ax2_sk8(X1,X2),ax2_sk9(X1,X2)))). % 0.18/0.41 cnf(i_0_188, plain, (X1=X2|ordered_by(ax2_sk7(X3,X2,X1),X1,X2)|~open(X3)|~incident_c(X2,X3)|~incident_c(X1,X3))). % 0.18/0.41 cnf(i_0_147, plain, (X1=X2|incident_c(ax0_sk13(X1,X2),X1)|incident_c(ax0_sk13(X1,X2),X2))). % 0.18/0.41 cnf(i_0_180, plain, (between_c(ax2_sk4(X1,X2,X3,X4),X4,X3,X2)|~between_o(X1,X4,X3,X2))). % 0.18/0.41 cnf(i_0_145, plain, (meet(X1,X2,X3)|~closed(sum(X2,X3))|~meet(X4,X2,X3)|~end_point(X1,X2))). % 0.18/0.41 cnf(i_0_131, plain, (meet(X1,X2,X3)|incident_c(ax0_sk5(X3,X2,X1),X3)|~incident_c(X1,X3)|~incident_c(X1,X2))). % 0.18/0.41 cnf(i_0_130, plain, (meet(X1,X2,X3)|incident_c(ax0_sk5(X3,X2,X1),X2)|~incident_c(X1,X3)|~incident_c(X1,X2))). % 0.18/0.41 cnf(i_0_187, plain, (X1=X2|incident_o(X3,ax2_sk7(X4,X2,X1))|~open(X4)|~incident_c(X3,X4)|~incident_c(X2,X4)|~incident_c(X1,X4))). % 0.18/0.41 cnf(i_0_132, plain, (meet(X1,X2,X3)|~end_point(ax0_sk5(X3,X2,X1),X3)|~end_point(ax0_sk5(X3,X2,X1),X2)|~incident_c(X1,X3)|~incident_c(X1,X2))). % 0.18/0.41 cnf(i_0_184, plain, (between_o(X1,X2,X3,X4)|~incident_o(ax2_sk5(X5,X1,X4,X3,X2),X1)|~between_c(X5,X2,X3,X4)|~incident_c(ax2_sk5(X5,X1,X4,X3,X2),X5))). % 0.18/0.41 cnf(i_0_156, plain, (X1=X2|between_c(X3,X1,X4,X2)|~inner_point(X4,X5)|~end_point(X2,X5)|~end_point(X1,X5)|~part_of(X5,X3))). % 0.18/0.41 cnf(i_0_189, plain, (X1=X2|ordered_by(X1,ax2_sk8(X2,X1),ax2_sk9(X2,X1))|ordered_by(X2,ax2_sk8(X2,X1),ax2_sk9(X2,X1)))). % 0.18/0.41 cnf(i_0_116, plain, (part_of(X1,X2)|part_of(X2,X1)|~end_point(X3,X4)|~incident_c(X3,X2)|~incident_c(X3,X1)|~part_of(X2,X4)|~part_of(X1,X4))). % 0.18/0.41 cnf(i_0_181, plain, (incident_o(ax2_sk5(X1,X2,X3,X4,X5),X2)|between_o(X2,X5,X4,X3)|incident_c(ax2_sk5(X1,X2,X3,X4,X5),X1)|~between_c(X1,X5,X4,X3))). % 0.18/0.41 cnf(i_0_109, plain, (X1=sum(X2,X3)|incident_c(ax0_sk2(X3,X2,X1),X3)|incident_c(ax0_sk2(X3,X2,X1),X2)|incident_c(ax0_sk2(X3,X2,X1),X1))). % 0.18/0.41 cnf(i_0_138, plain, (part_of(X1,X2)|part_of(X1,X3)|part_of(X2,X1)|part_of(X2,X3)# There were 4 total branch saturation attempts. % 0.18/0.41 # There were 0 of these attempts blocked. % 0.18/0.41 # There were 0 deferred branch saturation attempts. % 0.18/0.41 # There were 0 free duplicated saturations. % 0.18/0.41 # There were 4 total successful branch saturations. % 0.18/0.41 # There were 2 successful branch saturations in interreduction. % 0.18/0.41 # There were 0 successful branch saturations on the branch. % 0.18/0.41 # There were 2 successful branch saturations after the branch. % 0.18/0.41 |part_of(X3,X1)|part_of(X3,X2)|~end_point(X4,X3)|~end_point(X4,X2)|~end_point(X4,X1)|~part_of(X3,X5)|~part_of(X2,X5)|~part_of(X1,X5))). % 0.18/0.41 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.18/0.41 # Begin printing tableau % 0.18/0.41 # Found 18 steps % 0.18/0.41 cnf(i_0_202, negated_conjecture, (ordered_by(sk25,sk27,sk26)|ordered_by(sk25,sk26,sk27)|~ordered_by(sk25,sk26,sk26)), inference(start_rule)). % 0.18/0.41 cnf(i_0_215, plain, (ordered_by(sk25,sk27,sk26)), inference(extension_rule, [i_0_174])). % 0.18/0.41 cnf(i_0_775, plain, (incident_o(sk26,sk25)), inference(extension_rule, [i_0_176])). % 0.18/0.41 cnf(i_0_810, plain, (incident_c(sk26,ax2_sk3(sk25))), inference(extension_rule, [i_0_125])). % 0.18/0.41 cnf(i_0_216, plain, (ordered_by(sk25,sk26,sk27)), inference(extension_rule, [i_0_173])). % 0.18/0.41 cnf(i_0_882, plain, (incident_o(sk26,sk25)), inference(extension_rule, [i_0_165])). % 0.18/0.41 cnf(i_0_917, plain, (start_point(sk26,sk25)), inference(extension_rule, [i_0_164])). % 0.18/0.41 cnf(i_0_1020, plain, (~incident_o(sk26,sk25)), inference(closure_rule, [i_0_882])). % 0.18/0.41 cnf(i_0_918, plain, (ax2_sk1(sk25,sk26)!=sk26), inference(extension_rule, [i_0_137])). % 0.18/0.41 cnf(i_0_217, plain, (~ordered_by(sk25,sk26,sk26)), inference(extension_rule, [i_0_159])). % 0.18/0.41 cnf(i_0_1118, plain, (ordered_by(sk25,sk26,sk26)), inference(closure_rule, [i_0_217])). % 0.18/0.41 cnf(i_0_853, plain, (inner_point(sk26,ax2_sk3(sk25))), inference(etableau_closure_rule, [i_0_853, ...])). % 0.18/0.41 cnf(i_0_854, plain, (end_point(sk26,ax2_sk3(sk25))), inference(etableau_closure_rule, [i_0_854, ...])). % 0.18/0.41 cnf(i_0_1018, plain, (sk26=sk26), inference(etableau_closure_rule, [i_0_1018, ...])). % 0.18/0.41 cnf(i_0_1019, plain, (ordered_by(sk25,sk26,sk26)), inference(etableau_closure_rule, [i_0_1019, ...])). % 0.18/0.41 cnf(i_0_1051, plain, (open(ax2_sk1(sk25,sk26))), inference(etableau_closure_rule, [i_0_1051, ...])). % 0.18/0.41 cnf(i_0_1052, plain, (~part_of(ax2_sk1(sk25,sk26),sk26)), inference(etableau_closure_rule, [i_0_1052, ...])). % 0.18/0.41 cnf(i_0_1119, plain, (~between_o(sk25,X8,sk26,sk26)), inference(etableau_closure_rule, [i_0_1119, ...])). % 0.18/0.41 # End printing tableau % 0.18/0.41 # SZS output end % 0.18/0.41 # Branches closed with saturation will be marked with an "s" % 0.18/0.41 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.18/0.41 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.18/0.41 # Begin clausification derivation % 0.18/0.41 % 0.18/0.41 # End clausification derivation % 0.18/0.41 # Begin listing active clauses obtained from FOF to CNF conversion % 0.18/0.41 cnf(i_0_175, plain, (open(ax2_sk3(X1)))). % 0.18/0.41 cnf(i_0_139, plain, (inner_point(ax0_sk8(X1),X1))). % 0.18/0.41 cnf(i_0_185, plain, (start_point(ax2_sk6(X1),X1))). % 0.18/0.41 cnf(i_0_151, plain, (~between_c(X1,X2,X3,X2))). % 0.18/0.41 cnf(i_0_199, negated_conjecture, (incident_o(sk26,sk25)|ordered_by(sk25,sk27,sk26)|ordered_by(sk25,sk26,sk27))). % 0.18/0.41 cnf(i_0_204, negated_conjecture, (~incident_o(sk26,sk25)|~ordered_by(sk25,X1,sk26))). % 0.18/0.41 cnf(i_0_203, negated_conjecture, (~incident_o(sk26,sk25)|~ordered_by(sk25,sk26,X1))). % 0.18/0.41 cnf(i_0_202, negated_conjecture, (ordered_by(sk25,sk27,sk26)|ordered_by(sk25,sk26,sk27)|~ordered_by(sk25,X1,sk26))). % 0.18/0.41 cnf(i_0_124, plain, (~inner_point(X1,X2)|~end_point(X1,X2))). % 0.18/0.41 cnf(i_0_133, plain, (~closed(X1)|~end_point(X2,X1))). % 0.18/0.41 cnf(i_0_144, plain, (ax0_sk11(X1,X2)!=X1|~end_point(X1,X2))). % 0.18/0.41 cnf(i_0_163, plain, (incident_o(X1,X2)|~start_point(X1,X2))). % 0.18/0.41 cnf(i_0_201, negated_conjecture, (ordered_by(sk25,sk27,sk26)|ordered_by(sk25,sk26,sk27)|~ordered_by(sk25,sk26,X1))). % 0.18/0.41 cnf(i_0_168, plain, (incident_o(X1,X2)|~finish_point(X1,X2))). % 0.18/0.41 cnf(i_0_115, plain, (incident_c(X1,X2)|~end_point(X1,X2))). % 0.18/0.41 cnf(i_0_134, plain, (closed(X1)|end_point(ax0_sk6(X1),X1))). % 0.18/0.41 cnf(i_0_123, plain, (incident_c(X1,X2)|~inner_point(X1,X2))). % 0.18/0.41 cnf(i_0_136, plain, (open(X1)|~end_point(X2,X1))). % 0.18/0.41 cnf(i_0_127, plain, (incident_c(X1,X2)|~meet(X1,X3,X2))). % 0.18/0.41 cnf(i_0_126, plain, (incident_c(X1,X2)|~meet(X1,X2,X3))). % 0.18/0.41 cnf(i_0_105, plain, (part_of(X1,X2)|~incident_c(ax0_sk1(X1,X2),X2))). % 0.18/0.41 cnf(i_0_135, plain, (end_point(ax0_sk7(X1),X1)|~open(X1))). % 0.18/0.41 cnf(i_0_174, plain, (incident_o(X1,X2)|~ordered_by(X2,X3,X1))). % 0.18/0.41 cnf(i_0_173, plain, (incident_o(X1,X2)|~ordered_by(X2,X1,X3))). % 0.18/0.41 cnf(i_0_177, plain, (incident_o(X1,X2)|~incident_c(X1,ax2_sk3(X2)))). % 0.18/0.41 cnf(i_0_137, plain, (X1=X2|open(X1)|~part_of(X1,X2))). % 0.18/0.41 cnf(i_0_176, plain, (incident_c(X1,ax2_sk3(X2))|~incident_o(X1,X2))). % 0.18/0.41 cnf(i_0_104, plain, (incident_c(ax0_sk1(X1,X2),X1)|part_of(X1,X2))). % 0.18/0.41 cnf(i_0_165, plain, (start_point(X1,X2)|ax2_sk1(X2,X1)!=X1|~incident_o(X1,X2))). % 0.18/0.41 cnf(i_0_170, plain, (finish_point(X1,X2)|ax2_sk2(X2,X1)!=X1|~incident_o(X1,X2))). % 0.18/0.41 cnf(i_0_125, plain, (inner_point(X1,X2)|end_point(X1,X2)|~incident_c(X1,X2))). % 0.18/0.41 cnf(i_0_103, plain, (incident_c(X1,X2)|~incident_c(X1,X3)|~part_of(X3,X2))). % 0.18/0.41 cnf(i_0_143, plain, (end_point(ax0_sk11(X1,X2),X2)|~end_point(X1,X2))). % 0.18/0.41 cnf(i_0_194, plain, (incident_o(X1,X2)|~incident_c(X1,underlying_curve(X2)))). % 0.18/0.41 cnf(i_0_167, plain, (start_point(X1,X2)|~ordered_by(X2,X1,ax2_sk1(X2,X1)))). % 0.18/0.41 cnf(i_0_172, plain, (finish_point(X1,X2)|~ordered_by(X2,ax2_sk2(X2,X1),X1))). % 0.18/0.41 cnf(i_0_193, plain, (incident_c(X1,underlying_curve(X2))|~incident_o(X1,X2))). % 0.18/0.41 cnf(i_0_121, plain, (end_point(X1,X2)|~incident_c(X1,X2)|~part_of(ax0_sk3(X2,X1),ax0_sk4(X2,X1)))). % 0.18/0.41 cnf(i_0_122, plain, (end_point(X1,X2)|~incident_c(X1,X2)|~part_of(ax0_sk4(X2,X1),ax0_sk3(X2,X1)))). % 0.18/0.41 cnf(i_0_150, plain, (X1=X2|~incident_c(ax0_sk13(X1,X2),X2)|~incident_c(ax0_sk13(X1,X2),X1))). % 0.18/0.41 cnf(i_0_198, plain, (X1=underlying_curve(X2)|~incident_o(ax2_sk10(X2,X1),X2)|~incident_c(ax2_sk10(X2,X1),X1))). % 0.18/0.41 cnf(i_0_166, plain, (incident_o(ax2_sk1(X1,X2),X1)|start_point(X2,X1)|~incident_o(X2,X1))). % 0.18/0.41 cnf(i_0_171, plain, (finish_point(X1,X2)|incident_o(ax2_sk2(X2,X1),X2)|~incident_o(X1,X2))). % 0.18/0.41 cnf(i_0_159, plain, (ordered_by(X1,X2,X3)|ordered_by(X1,X3,X2)|~between_o(X1,X4,X2,X3))). % 0.18/0.41 cnf(i_0_157, plain, (ordered_by(X1,X2,X3)|ordered_by(X1,X4,X3)|~between_o(X1,X2,X3,X4))). % 0.18/0.41 cnf(i_0_160, plain, (ordered_by(X1,X2,X3)|ordered_by(X1,X2,X4)|~between_o(X1,X3,X2,X4))). % 0.18/0.41 cnf(i_0_108, plain, (incident_c(X1,sum(X2,X3))|~incident_c(X1,X3))). % 0.18/0.41 cnf(i_0_107, plain, (incident_c(X1,sum(X2,X3))|~incident_c(X1,X2))). % 0.18/0.41 cnf(i_0_146, plain, (ax0_sk12(X1,X2)=sum(X2,X1)|~meet(X3,X2,X1))). % 0.18/0.41 cnf(i_0_162, plain, (between_o(X1,X2,X3,X4)|~ordered_by(X1,X3,X2)|~ordered_by(X1,X4,X3))). % 0.18/0.41 cnf(i_0_119, plain, (end_point(X1,X2)|incident_c(X1,ax0_sk3(X2,X1))|~incident_c(X1,X2))). % 0.18/0.41 cnf(i_0_158, plain, (ordered_by(X1,X2,X3)|ordered_by(X1,X3,X2)|~between_o(X1,X2,X3,X4))). % 0.18/0.41 cnf(i_0_161, plain, (between_o(X1,X2,X3,X4)|~ordered_by(X1,X3,X4)|~ordered_by(X1,X2,X3))). % 0.18/0.41 cnf(i_0_169, plain, (X1=X2|ordered_by(X3,X2,X1)|~finish_point(X1,X3)|~incident_o(X2,X3))). % 0.18/0.41 cnf(i_0_164, plain, (X1=X2|ordered_by(X3,X1,X2)|~incident_o(X2,X3)|~start_point(X1,X3))). % 0.18/0.41 cnf(i_0_142, plain, (X1=X2|X1=X3|X2=X3|~end_point(X3,X4)|~end_point(X2,X4)|~end_point(X1,X4))). % 0.18/0.41 cnf(i_0_120, plain, (end_point(X1,X2)|incident_c(X1,ax0_sk4(X2,X1))|~incident_c(X1,X2))). % 0.18/0.41 cnf(i_0_129, plain, (end_point(X1,X2)|~meet(X3,X4,X2)|~incident_c(X1,X2)|~incident_c(X1,X4))). % 0.18/0.41 cnf(i_0_128, plain, (end_point(X1,X2)|~meet(X3,X2,X4)|~incident_c(X1,X4)|~incident_c(X1,X2))). % 0.18/0.41 cnf(i_0_179, plain, (incident_o(X1,X2)|~between_o(X2,X3,X4,X5)|~incident_c(X1,ax2_sk4(X2,X5,X4,X3)))). % 0.18/0.41 cnf(i_0_117, plain, (end_point(X1,X2)|part_of(ax0_sk3(X2,X1),X2)|~incident_c(X1,X2))). % 0.18/0.41 cnf(i_0_118, plain, (end_point(X1,X2)|part_of(ax0_sk4(X2,X1),X2)|~incident_c(X1,X2))). % 0.18/0.41 cnf(i_0_141, plain, (sum(ax0_sk9(X1,X2),ax0_sk10(X1,X2))=X2|~inner_point(X1,X2))). % 0.18/0.41 cnf(i_0_154, plain, (end_point(X1,ax1_sk1(X1,X2,X3,X4))|~between_c(X4,X3,X2,X1))). % 0.18/0.41 cnf(i_0_153, plain, (end_point(X1,ax1_sk1(X2,X3,X1,X4))|~between_c(X4,X1,X3,X2))). % 0.18/0.41 cnf(i_0_155, plain, (inner_point(X1,ax1_sk1(X2,X1,X3,X4))|~between_c(X4,X3,X1,X2))). % 0.18/0.41 cnf(i_0_106, plain, (incident_c(X1,X2)|incident_c(X1,X3)|~incident_c(X1,sum(X3,X2)))). % 0.18/0.41 cnf(i_0_152, plain, (part_of(ax1_sk1(X1,X2,X3,X4),X4)|~between_c(X4,X3,X2,X1))). % 0.18/0.41 cnf(i_0_113, plain, (X1=sum(X2,X3)|~incident_c(ax0_sk2(X3,X2,X1),X1)|~incident_c(ax0_sk2(X3,X2,X1),X2))). % 0.18/0.41 cnf(i_0_114, plain, (X1=sum(X2,X3)|~incident_c(ax0_sk2(X3,X2,X1),X1)|~incident_c(ax0_sk2(X3,X2,X1),X3))). % 0.18/0.41 cnf(i_0_140, plain, (meet(X1,ax0_sk9(X1,X2),ax0_sk10(X1,X2))|~inner_point(X1,X2))). % 0.18/0.41 cnf(i_0_195, plain, (X1=underlying_curve(X2)|incident_o(ax2_sk10(X2,X1),X2)|incident_c(ax2_sk10(X2,X1),X1))). % 0.18/0.41 cnf(i_0_186, plain, (X1=X2|incident_c(X3,X4)|~incident_o(X3,ax2_sk7(X4,X2,X1))|~open(X4)|~incident_c(X2,X4)|~incident_c(X1,X4))). % 0.18/0.41 cnf(i_0_178, plain, (incident_c(X1,ax2_sk4(X2,X3,X4,X5))|~incident_o(X1,X2)|~between_o(X2,X5,X4,X3))). % 0.18/0.41 cnf(i_0_192, plain, (X1=X2|~ordered_by(X2,ax2_sk8(X1,X2),ax2_sk9(X1,X2))|~ordered_by(X1,ax2_sk8(X1,X2),ax2_sk9(X1,X2)))). % 0.18/0.41 cnf(i_0_188, plain, (X1=X2|ordered_by(ax2_sk7(X3,X2,X1),X1,X2)|~open(X3)|~incident_c(X2,X3)|~incident_c(X1,X3))). % 0.18/0.41 cnf(i_0_147, plain, (X1=X2|incident_c(ax0_sk13(X1,X2),X1)|incident_c(ax0_sk13(X1,X2),X2))). % 0.18/0.41 cnf(i_0_180, plain, (between_c(ax2_sk4(X1,X2,X3,X4),X4,X3,X2)|~between_o(X1,X4,X3,X2))). % 0.18/0.41 cnf(i_0_145, plain, (meet(X1,X2,X3)|~closed(sum(X2,X3))|~meet(X4,X2,X3)|~end_point(X1,X2))). % 0.18/0.41 cnf(i_0_131, plain, (meet(X1,X2,X3)|incident_c(ax0_sk5(X3,X2,X1),X3)|~incident_c(X1,X3)|~incident_c(X1,X2))). % 0.18/0.41 cnf(i_0_130, plain, (meet(X1,X2,X3)|incident_c(ax0_sk5(X3,X2,X1),X2)|~incident_c(X1,X3)|~incident_c(X1,X2))). % 0.18/0.41 cnf(i_0_187, plain, (X1=X2|incident_o(X3,ax2_sk7(X4,X2,X1))|~open(X4)|~incident_c(X3,X4)|~incident_c(X2,X4)|~incident_c(X1,X4))). % 0.18/0.41 cnf(i_0_132, plain, (meet(X1,X2,X3)|~end_point(ax0_sk5(X3,X2,X1),X3)|~end_point(ax0_sk5(X3,X2,X1),X2)|~incident_c(X1,X3)|~incident_c(X1,X2))). % 0.18/0.41 cnf(i_0_184, plain, (between_o(X1,X2,X3,X4)|~incident_o(ax2_sk5(X5,X1,X4,X3,X2),X1)|~between_c(X5,X2,X3,X4)|~incident_c(ax2_sk5(X5,X1,X4,X3,X2),X5))). % 0.18/0.41 cnf(i_0_156, plain, (X1=X2|between_c(X3,X1,X4,X2)|~inner_point(X4,X5)|~end_point(X2,X5)|~end_point(X1,X5)|~part_of(X5,X3))). % 0.18/0.41 cnf(i_0_189, plain, (X1=X2|ordered_by(X1,ax2_sk8(X2,X1),ax2_sk9(X2,X1))|ordered_by(X2,ax2_sk8(X2,X1),ax2_sk9(X2,X1)))). % 0.18/0.41 cnf(i_0_116, plain, (part_of(X1,X2)|part_of(X2,X1)|~end_point(X3,X4)|~incident_c(X3,X2)|~incident_c(X3,X1)|~part_of(X2,X4)|~part_of(X1,X4))). % 0.18/0.41 cnf(i_0_181, plain, (incident_o(ax2_sk5(X1,X2,X3,X4,X5),X2)|between_o(X2,X5,X4,X3)|incident_c(ax2_sk5(X1,X2,X3,X4,X5),X1)|~between_c(X1,X5,X4,X3))). % 0.18/0.41 cnf(i_0_109, plain, (X1=sum(X2,X3)|incident_c(ax0_sk2(X3,X2,X1),X3)|incident_c(ax0_sk2(X3,X2,X1),X2)|incident_c(ax0_sk2(X3,X2,X1),X1))). % 0.18/0.41 cnf(i_0_138, plain, (part_of(X1,X2)|part_of(X1,X3)|part_of(X2,X1)|part_of(X2,X3)|part_of(X3,X1)|part_of(X3,X2)|~end_point(X4,X3)|~end_point(X4,X2)|~end_point(X4,X1)|~part_of(X3,X5)|~part_of(X2,X5)|~part_of(X1,X5))). % 0.18/0.41 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.18/0.41 # Begin printing tableau % 0.18/0.41 # Found 13 steps % 0.18/0.41 cnf(i_0_201, negated_conjecture, (ordered_by(sk25,sk27,sk26)|ordered_by(sk25,sk26,sk27)|~ordered_by(sk25,sk26,sk26)), inference(start_rule)). % 0.18/0.41 cnf(i_0_213, plain, (ordered_by(sk25,sk26,sk27)), inference(extension_rule, [i_0_203])). % 0.18/0.41 cnf(i_0_742, plain, (~incident_o(sk26,sk25)), inference(extension_rule, [i_0_163])). % 0.18/0.41 cnf(i_0_756, plain, (~start_point(sk26,sk25)), inference(extension_rule, [i_0_167])). % 0.18/0.41 cnf(i_0_212, plain, (ordered_by(sk25,sk27,sk26)), inference(extension_rule, [i_0_174])). % 0.18/0.41 cnf(i_0_836, plain, (incident_o(sk26,sk25)), inference(extension_rule, [i_0_176])). % 0.18/0.41 cnf(i_0_869, plain, (incident_c(sk26,ax2_sk3(sk25))), inference(extension_rule, [i_0_125])). % 0.18/0.41 cnf(i_0_214, plain, (~ordered_by(sk25,sk26,sk26)), inference(extension_rule, [i_0_159])). % 0.18/0.41 cnf(i_0_982, plain, (ordered_by(sk25,sk26,sk26)), inference(closure_rule, [i_0_214])). % 0.18/0.41 cnf(i_0_811, plain, (~ordered_by(sk25,sk26,ax2_sk1(sk25,sk26))), inference(etableau_closure_rule, [i_0_811, ...])). % 0.18/0.41 cnf(i_0_910, plain, (inner_point(sk26,ax2_sk3(sk25))), inference(etableau_closure_rule, [i_0_910, ...])). % 0.18/0.41 cnf(i_0_911, plain, (end_point(sk26,ax2_sk3(sk25))), inference(etableau_closure_rule, [i_0_911, ...])). % 0.18/0.41 cnf(i_0_983, plain, (~between_o(sk25,X8,sk26,sk26)), inference(etableau_closure_rule, [i_0_983, ...])). % 0.18/0.41 # End printing tableau % 0.18/0.41 # SZS output end % 0.18/0.41 # Branches closed with saturation will be marked with an "s" % 0.18/0.41 # Child (26719) has found a proof. % 0.18/0.41 % 0.18/0.41 # Proof search is over... % 0.18/0.41 # Freeing feature tree %------------------------------------------------------------------------------