%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : GEO040-3 : TPTP v8.1.0. Released v1.0.0. % 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 : n017.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 04:07:20 EDT 2022 % Result : Unsatisfiable 0.11s 0.38s % Output : CNFRefutation 0.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : GEO040-3 : TPTP v8.1.0. Released v1.0.0. % 0.11/0.12 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.11/0.33 % Computer : n017.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 600 % 0.11/0.33 % DateTime : Sat Jun 18 16:30:42 EDT 2022 % 0.11/0.33 % CPUTime : % 0.11/0.36 # No SInE strategy applied % 0.11/0.36 # Auto-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S % 0.11/0.36 # and selection function SelectNewComplexAHP. % 0.11/0.36 # % 0.11/0.36 # Presaturation interreduction done % 0.11/0.36 # Number of axioms: 49 Number of unprocessed: 43 % 0.11/0.36 # Tableaux proof search. % 0.11/0.36 # APR header successfully linked. % 0.11/0.36 # Hello from C++ % 0.11/0.36 # The folding up rule is enabled... % 0.11/0.36 # Local unification is enabled... % 0.11/0.36 # Any saturation attempts will use folding labels... % 0.11/0.36 # 43 beginning clauses after preprocessing and clausification % 0.11/0.36 # Creating start rules for all 1 conjectures. % 0.11/0.36 # There are 1 start rule candidates: % 0.11/0.36 # Found 15 unit axioms. % 0.11/0.36 # 1 start rule tableaux created. % 0.11/0.36 # 28 extension rule candidate clauses % 0.11/0.36 # 15 unit axiom clauses % 0.11/0.36 % 0.11/0.36 # Requested 8, 32 cores available to the main process. % 0.11/0.36 # There are not enough tableaux to fork, creating more from the initial 1 % 0.11/0.36 # Returning from population with 13 new_tableaux and 0 remaining starting tableaux. % 0.11/0.36 # We now have 13 tableaux to operate on % 0.11/0.38 # There were 1 total branch saturation attempts. % 0.11/0.38 # There were 0 of these attempts blocked. % 0.11/0.38 # There were 0 deferred branch saturation attempts. % 0.11/0.38 # There were 0 free duplicated saturations. % 0.11/0.38 # There were 1 total successful branch saturations. % 0.11/0.38 # There were 0 successful branch saturations in interreduction. % 0.11/0.38 # There were 0 successful branch saturations on the branch. % 0.11/0.38 # There were 1 successful branch saturations after the branch. % 0.11/0.38 # There were 1 total branch saturation attempts. % 0.11/0.38 # There were 0 of these attempts blocked. % 0.11/0.38 # There were 0 deferred branch saturation attempts. % 0.11/0.38 # There were 0 free duplicated saturations. % 0.11/0.38 # There were 1 total successful branch saturations. % 0.11/0.38 # There were 0 successful branch saturations in interreduction. % 0.11/0.38 # There were 0 successful branch saturations on the branch. % 0.11/0.38 # There were 1 successful branch saturations after the branch. % 0.11/0.38 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.11/0.38 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.11/0.38 # Begin clausification derivation % 0.11/0.38 % 0.11/0.38 # End clausification derivation % 0.11/0.38 # Begin listing active clauses obtained from FOF to CNF conversion % 0.11/0.38 cnf(i_0_98, hypothesis, (between(u,v,w))). % 0.11/0.38 cnf(i_0_99, hypothesis, (between(v,u,w))). % 0.11/0.38 cnf(i_0_94, plain, (between(X1,X2,X2))). % 0.11/0.38 cnf(i_0_97, plain, (between(X1,X1,X2))). % 0.11/0.38 cnf(i_0_51, plain, (equidistant(X1,X2,X2,X1))). % 0.11/0.38 cnf(i_0_70, plain, (equidistant(X1,X2,X1,X2))). % 0.11/0.38 cnf(i_0_86, plain, (equidistant(X1,X1,X2,X2))). % 0.11/0.38 cnf(i_0_79, plain, (extension(X1,X2,X3,X3)=X2)). % 0.11/0.38 cnf(i_0_54, plain, (between(X1,X2,extension(X1,X2,X3,X4)))). % 0.11/0.38 cnf(i_0_55, plain, (equidistant(X1,extension(X2,X1,X3,X4),X3,X4))). % 0.11/0.38 cnf(i_0_93, plain, (extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2)=X1)). % 0.11/0.38 cnf(i_0_100, negated_conjecture, (v!=u)). % 0.11/0.38 cnf(i_0_60, plain, (~between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3))). % 0.11/0.38 cnf(i_0_61, plain, (~between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1))). % 0.11/0.38 cnf(i_0_62, plain, (~between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2))). % 0.11/0.38 cnf(i_0_57, plain, (X1=X2|~between(X1,X2,X1))). % 0.11/0.38 cnf(i_0_53, plain, (X1=X2|~equidistant(X1,X2,X3,X3))). % 0.11/0.38 cnf(i_0_85, plain, (X1=X2|extension(X2,X1,X2,X1)!=X1)). % 0.11/0.38 cnf(i_0_96, plain, (between(X1,X2,X3)|~between(X3,X2,X1))). % 0.11/0.38 cnf(i_0_77, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X4,X3,X2,X1))). % 0.11/0.38 cnf(i_0_76, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X3,X4,X2,X1))). % 0.11/0.38 cnf(i_0_89, plain, (extension(X1,X2,X2,X3)=X3|X1=X2|~between(X1,X2,X3))). % 0.11/0.38 cnf(i_0_75, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X4,X3,X1,X2))). % 0.11/0.38 cnf(i_0_71, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X3,X4,X1,X2))). % 0.11/0.38 cnf(i_0_91, plain, (extension(X1,X2,X1,X2)=extension(X1,X2,X2,X1)|X1=X2)). % 0.11/0.38 cnf(i_0_74, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X2,X1,X4,X3))). % 0.11/0.38 cnf(i_0_72, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X2,X1,X3,X4))). % 0.11/0.38 cnf(i_0_73, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X1,X2,X4,X3))). % 0.11/0.38 cnf(i_0_88, plain, (X1=X2|X3=X4|~between(X1,X2,X4)|~between(X1,X2,X3)|~equidistant(X2,X3,X2,X4))). % 0.11/0.38 cnf(i_0_52, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X5,X6,X3,X4)|~equidistant(X5,X6,X1,X2))). % 0.11/0.38 cnf(i_0_78, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X5,X6,X3,X4)|~equidistant(X1,X2,X5,X6))). % 0.11/0.38 cnf(i_0_59, plain, (between(X1,inner_pasch(X2,X3,X4,X1,X5),X2)|~between(X5,X1,X4)|~between(X2,X3,X4))). % 0.11/0.38 cnf(i_0_90, plain, (extension(X1,X2,X3,X4)=extension(X1,X2,X5,X6)|X1=X2|~equidistant(X3,X4,X5,X6))). % 0.11/0.38 cnf(i_0_58, plain, (between(X1,inner_pasch(X2,X1,X3,X4,X5),X5)|~between(X5,X4,X3)|~between(X2,X1,X3))). % 0.11/0.38 cnf(i_0_65, plain, (X1=X2|between(X1,X3,euclid2(X1,X4,X2,X3,X5))|~between(X4,X2,X3)|~between(X1,X2,X5))). % 0.11/0.38 cnf(i_0_64, plain, (X1=X2|between(X1,X3,euclid1(X1,X3,X2,X4,X5))|~between(X3,X2,X4)|~between(X1,X2,X5))). % 0.11/0.38 cnf(i_0_87, plain, (equidistant(X1,X2,X3,X4)|~between(X3,X5,X4)|~between(X1,X6,X2)|~equidistant(X6,X2,X5,X4)|~equidistant(X1,X6,X3,X5))). % 0.11/0.38 cnf(i_0_66, plain, (X1=X2|between(euclid1(X1,X3,X2,X4,X5),X5,euclid2(X1,X3,X2,X4,X5))|~between(X3,X2,X4)|~between(X1,X2,X5))). % 0.11/0.38 cnf(i_0_68, plain, (equidistant(X1,X2,X1,continuous(X1,X3,X4,X2,X5,X6))|~between(X3,X2,X5)|~between(X1,X3,X5)|~equidistant(X1,X5,X1,X6)|~equidistant(X1,X3,X1,X4))). % 0.11/0.38 cnf(i_0_67, plain, (between(X1,continuous(X2,X3,X1,X4,X5,X6),X6)|~between(X3,X4,X5)|~between(X2,X3,X5)|~equidistant(X2,X5,X2,X6)|~equidistant(X2,X3,X2,X1))). % 0.11/0.38 cnf(i_0_63, plain, (X1=X2|between(X3,X4,X5)|between(X4,X5,X3)|between(X5,X3,X4)|~equidistant(X5,X1,X5,X2)|~equidistant(X4,X1,X4,X2)|~equidistant(X3,X1,X3,X2))). % 0.11/0.38 cnf(i_0_56, plain, (X1=X2|equidistant(X3,X4,X5,X6)|~between(X7,X8,X5)|~between(X1,X2,X3)|~equidistant(X2,X4,X8,X6)|~equidistant(X2,X3,X8,X5)|~equidistant(X1,X4,X7,X6)|~equidistant(X1,X2,X7,X8))). % 0.11/0.38 cnf(i_0_95, plain, (between(X1,X2,X3)|~between(X3,X2,X3))). % 0.11/0.38 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.11/0.38 # Begin printing tableau % 0.11/0.38 # Found 6 steps % 0.11/0.38 cnf(i_0_100, nega# There were 1 total branch saturation attempts. % 0.11/0.38 # There were 0 of these attempts blocked. % 0.11/0.38 # There were 0 deferred branch saturation attempts. % 0.11/0.38 # There were 0 free duplicated saturations. % 0.11/0.38 # There were 1 total successful branch saturations. % 0.11/0.38 # There were 0 successful branch saturations in interreduction. % 0.11/0.38 # There were 0 successful branch saturations on the branch. % 0.11/0.38 # There were 1 successful branch saturations after the branch. % 0.11/0.38 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.11/0.38 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.11/0.38 # Begin clausification derivation % 0.11/0.38 % 0.11/0.38 # End clausification derivation % 0.11/0.38 # Begin listing active clauses obtained from FOF to CNF conversion % 0.11/0.38 cnf(i_0_98, hypothesis, (between(u,v,w))). % 0.11/0.38 cnf(i_0_99, hypothesis, (between(v,u,w))). % 0.11/0.38 cnf(i_0_94, plain, (between(X1,X2,X2))). % 0.11/0.38 cnf(i_0_97, plain, (between(X1,X1,X2))). % 0.11/0.38 cnf(i_0_51, plain, (equidistant(X1,X2,X2,X1))). % 0.11/0.38 cnf(i_0_70, plain, (equidistant(X1,X2,X1,X2))). % 0.11/0.38 cnf(i_0_86, plain, (equidistant(X1,X1,X2,X2))). % 0.11/0.38 cnf(i_0_79, plain, (extension(X1,X2,X3,X3)=X2)). % 0.11/0.38 cnf(i_0_54, plain, (between(X1,X2,extension(X1,X2,X3,X4)))). % 0.11/0.38 cnf(i_0_55, plain, (equidistant(X1,extension(X2,X1,X3,X4),X3,X4))). % 0.11/0.38 cnf(i_0_93, plain, (extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2)=X1)). % 0.11/0.38 cnf(i_0_100, negated_conjecture, (v!=u)). % 0.11/0.38 cnf(i_0_60, plain, (~between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3))). % 0.11/0.38 cnf(i_0_61, plain, (~between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1))). % 0.11/0.38 cnf(i_0_62, plain, (~between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2))). % 0.11/0.38 cnf(i_0_57, plain, (X1=X2|~between(X1,X2,X1))). % 0.11/0.38 cnf(i_0_53, plain, (X1=X2|~equidistant(X1,X2,X3,X3))). % 0.11/0.38 cnf(i_0_85, plain, (X1=X2|extension(X2,X1,X2,X1)!=X1)). % 0.11/0.38 cnf(i_0_96, plain, (between(X1,X2,X3)|~between(X3,X2,X1))). % 0.11/0.38 cnf(i_0_77, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X4,X3,X2,X1))). % 0.11/0.38 cnf(i_0_76, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X3,X4,X2,X1))). % 0.11/0.38 cnf(i_0_89, plain, (extension(X1,X2,X2,X3)=X3|X1=X2|~between(X1,X2,X3))). % 0.11/0.38 cnf(i_0_75, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X4,X3,X1,X2))). % 0.11/0.38 cnf(i_0_71, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X3,X4,X1,X2))). % 0.11/0.38 cnf(i_0_91, plain, (extension(X1,X2,X1,X2)=extension(X1,X2,X2,X1)|X1=X2)). % 0.11/0.38 cnf(i_0_74, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X2,X1,X4,X3))). % 0.11/0.38 cnf(i_0_72, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X2,X1,X3,X4))). % 0.11/0.38 cnf(i_0_73, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X1,X2,X4,X3))). % 0.11/0.38 cnf(i_0_88, plain, (X1=X2|X3=X4|~between(X1,X2,X4)|~between(X1,X2,X3)|~equidistant(X2,X3,X2,X4))). % 0.11/0.38 cnf(i_0_52, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X5,X6,X3,X4)|~equidistant(X5,X6,X1,X2))). % 0.11/0.38 cnf(i_0_78, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X5,X6,X3,X4)|~equidistant(X1,X2,X5,X6))). % 0.11/0.38 cnf(i_0_59, plain, (between(X1,inner_pasch(X2,X3,X4,X1,X5),X2)|~between(X5,X1,X4)|~between(X2,X3,X4))). % 0.11/0.38 cnf(i_0_90, plain, (extension(X1,X2,X3,X4)=extension(X1,X2,X5,X6)|X1=X2|~equidistant(X3,X4,X5,X6))). % 0.11/0.38 cnf(i_0_58, plain, (between(X1,inner_pasch(X2,X1,X3,X4,X5),X5)|~between(X5,X4,X3)|~between(X2,X1,X3))). % 0.11/0.38 cnf(i_0_65, plain, (X1=X2|between(X1,X3,euclid2(X1,X4,X2,X3,X5))|~between(X4,X2,X3)|~between(X1,X2,X5))). % 0.11/0.38 cnf(i_0_64, plain, (X1=X2|between(X1,X3,euclid1(X1,X3,X2,X4,X5))|~between(X3,X2,X4)|~between(X1,X2,X5))). % 0.11/0.38 cnf(i_0_87, plain, (equidistant(X1,X2,X3,X4)|~between(X3,X5,X4)|~between(X1,X6,X2)|~equidistant(X6,X2,X5,X4)|~equidistant(X1,X6,X3,X5))). % 0.11/0.38 cnf(i_0_66, plain, (X1=X2|between(euclid1(X1,X3,X2,X4,X5),X5,euclid2(X1,X3,X2,X4,X5))|~between(X3,X2,X4)|~between(X1,X2,X5))). % 0.11/0.38 cnf(i_0_68, plain, (equidistant(X1,X2,X1,continuous(X1,X3,X4,X2,X5,X6))|~between(X3,X2,X5)|~between(X1,X3,X5)|~equidistant(X1,X5,X1,X6)|~equidistant(X1,X3,X1,X4))). % 0.11/0.38 cnf(i_0_67, plain, (between(X1,continuous(X2,X3,X1,X4,X5,X6),X6)|~between(X3,X4,X5)|~between(X2,X3,X5)|~equidistant(X2,X5,X2,X6)|~equidistant(X2,X3,X2,X1))). % 0.11/0.38 cnf(i_0_63, plain, (X1=X2|between(X3,X4,X5)|between(X4,X5,X3)|between(X5,X3,X4)|~equidistant(X5,X1,X5,X2)|~equidistant(X4,X1,X4,X2)|~equidistant(X3,X1,X3,X2))). % 0.11/0.38 cnf(i_0_56, plain, (X1=X2|equidistant(X3,X4,X5,X6)|~between(X7,X8,X5)|~between(X1,X2,X3)|~equidistant(X2,X4,X8,X6)|~equidistant(X2,X3,X8,X5)|~equidistant(X1,X4,X7,X6)|~equidistant(X1,X2,X7,X8))). % 0.11/0.38 cnf(i_0_95, plain, (between(X1,X2,X3)|~between(X3,X2,X3))). % 0.11/0.38 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.11/0.38 # Begin printing tableau % 0.11/0.38 # Found 6 steps % 0.11/0.38 cnf(i_0_100, negated_conjecture, (v!=u), inference(start_rule)). % 0.11/0.38 cnf(i_0_104, plain, (v!=u), inference(extension_rule, [i_0_66])). % 0.11/0.38 cnf(i_0_167, plain, (~between(v,u,w)), inference(closure_rule, [i_0_99])). % 0.11/0.38 cnf(i_0_168, plain, (~between(v,u,w)), inference(closure_rule, [i_0_99])). % 0.11/0.38 cnf(i_0_166, plain, (between(euclid1(v,v,u,w,w),w,euclid2(v,v,u,w,w))), inference(extension_rule, [i_0_96])). % 0.11/0.38 cnf(i_0_202, plain, (between(euclid2(v,v,u,w,w),w,euclid1(v,v,u,w,w))), inference(etableau_closure_rule, [i_0_202, ...])). % 0.11/0.38 # End printing tableau % 0.11/0.38 # SZS output end % 0.11/0.38 # Branches closed with saturation will be marked with an "s" % 0.11/0.38 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.11/0.38 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.11/0.38 # Begin clausification derivation % 0.11/0.38 % 0.11/0.38 # End clausification derivation % 0.11/0.38 # Begin listing active clauses obtained from FOF to CNF conversion % 0.11/0.38 cnf(i_0_98, hypothesis, (between(u,v,w))). % 0.11/0.38 cnf(i_0_99, hypothesis, (between(v,u,w))). % 0.11/0.38 cnf(i_0_94, plain, (between(X1,X2,X2))). % 0.11/0.38 cnf(i_0_97, plain, (between(X1,X1,X2))). % 0.11/0.38 cnf(i_0_51, plain, (equidistant(X1,X2,X2,X1))). % 0.11/0.38 cnf(i_0_70, plain, (equidistant(X1,X2,X1,X2))). % 0.11/0.38 cnf(i_0_86, plain, (equidistant(X1,X1,X2,X2))). % 0.11/0.38 cnf(i_0_79, plain, (extension(X1,X2,X3,X3)=X2)). % 0.11/0.38 cnf(i_0_54, plain, (between(X1,X2,extension(X1,X2,X3,X4)))). % 0.11/0.38 cnf(i_0_55, plain, (equidistant(X1,extension(X2,X1,X3,X4),X3,X4))). % 0.11/0.38 cnf(i_0_93, plain, (extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2)=X1)). % 0.11/0.38 cnf(i_0_100, negated_conjecture, (v!=u)). % 0.11/0.38 cnf(i_0_60, plain, (~between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3))). % 0.11/0.38 cnf(i_0_61, plain, (~between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1))). % 0.11/0.38 cnf(i_0_62, plain, (~between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2))). % 0.11/0.38 cnf(i_0_57, plain, (X1=X2|~between(X1,X2,X1))). % 0.11/0.38 cnf(i_0_53, plain, (X1=X2|~equidistant(X1,X2,X3,X3))). % 0.11/0.38 cnf(i_0_85, plain, (X1=X2|extension(X2,X1,X2,X1)!=X1)). % 0.11/0.38 cnf(i_0_96, plain, (between(X1,X2,X3)|~between(X3,X2,X1))). % 0.11/0.38 cnf(i_0_77, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X4,X3,X2,X1))). % 0.11/0.38 cnf(i_0_76, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X3,X4,X2,X1))). % 0.11/0.38 cnf(i_0_89, plain, (extension(X1,X2,X2,X3)=X3|X1=X2|~between(X1,X2,X3))). % 0.11/0.38 cnf(i_0_75, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X4,X3,X1,X2))). % 0.11/0.38 cnf(i_0_71, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X3,X4,X1,X2))). % 0.11/0.38 cnf(i_0_91, plain, (extension(X1,X2,X1,X2)=extension(X1,X2,X2,X1)|X1=X2)). % 0.11/0.38 cnf(i_0_74, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X2,X1,X4,X3))). % 0.11/0.38 cnf(i_0_72, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X2,X1,X3,X4))). % 0.11/0.38 cnf(i_0_73, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X1,X2,X4,X3))). % 0.11/0.38 cnf(i_0_88, plain, (X1=X2|X3=X4|~between(X1,X2,X4)|~between(X1,X2,X3)|~equidistant(X2,X3,X2,X4))). % 0.11/0.38 cnf(i_0_52, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X5,X6,X3,X4)|~equidistant(X5,X6,X1,X2))). % 0.11/0.38 cnf(i_0_78, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X5,X6,X3,X4)|~equidistant(X1,X2,X5,X6))). % 0.11/0.38 cnf(i_0_59, plain, (between(X1,inner_pasch(X2,X3,X4,X1,X5),X2)|~between(X5,X1,X4)|~between(X2,X3,X4))). % 0.11/0.38 cnf(i_0_90, plain, (extension(X1,X2,X3,X4)=extension(X1,X2,X5,X6)|X1=X2|~equidistant(X3,X4,X5,X6))). % 0.11/0.38 cnf(i_0_58, plain, (between(X1,inner_pasch(X2,X1,X3,X4,X5),X5)|~between(X5,X4,X3)|~between(X2,X1,X3))). % 0.11/0.38 cnf(i_0_65, plain, (X1=X2|between(X1,X3,euclid2(X1,X4,X2,X3,X5))|~between(X4,X2,X3)|~between(X1,X2,X5))). % 0.11/0.38 cnf(i_0_64, plain, (X1=X2|between(X1,X3,euclid1(X1,X3,X2,X4,X5))|~between(X3,X2,X4)|~between(X1,X2,X5))). % 0.11/0.38 cnf(i_0_87, plain, (equidistant(X1,X2,X3,X4)|~between(X3,X5,X4)|~between(X1,X6,X2)|~equidistant(X6,X2,X5,X4)|~equidistant(X1,X6,X3,X5))). % 0.11/0.38 cnf(i_0_66, plain, (X1=X2|between(euclid1(X1,X3,X2,X4,X5),X5,euclid2(X1,X3,X2,X4,X5))|~between(X3,X2,X4)|~between(X1,X2,X5))). % 0.11/0.38 cnf(i_0_68, plain, (equidistant(X1,X2,X1,continuous(X1,X3,X4,X2,X5,X6))|~between(X3,X2,X5)|~between(X1,X3,X5)|~equidistant(X1,X5,X1,X6)|~equidistant(X1,X3,X1,X4))). % 0.11/0.38 cnf(i_0_67, plain, (between(X1,continuous(X2,X3,X1,X4,X5,X6),X6)|~between(X3,X4,X5)|~between(X2,X3,X5)|~equidistant(X2,X5,X2,X6)|~equidistant(X2,X3,X2,X1))). % 0.11/0.38 cnf(i_0_63, plain, (X1=X2|between(X3,X4,X5)|between(X4,X5,X3)|between(X5,X3,X4)|~equidistant(X5,X1,X5,X2)|~equidistant(X4,X1,X4,X2)|~equidistant(X3,X1,X3,X2))). % 0.11/0.38 cnf(i_0_56, plain, (X1=X2|equidistant(X3,X4,X5,X6)|~between(X7,X8,X5)|~between(X1,X2,X3)|~equidistant(X2,X4,X8,X6)|~equidistant(X2,X3,X8,X5)|~equidistant(X1,X4,X7,X6)|~equidistant(X1,X2,X7,X8))). % 0.11/0.38 cnf(i_0_95, plain, (between(X1,X2,X3)|~between(X3,X2,X3))). % 0.11/0.38 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.11/0.38 # Begin printing tableau % 0.11/0.38 # Found 6 steps % 0.11/0.38 cnf(i_0_100, negated_conjecture, (v!=u), inference(start_rule)). % 0.11/0.38 cnf(i_0_104, plain, (v!=u), inference(extension_rule, [i_0_65])). % 0.11/0.38 cnf(i_0_154, plain, (~between(v,u,w)), inference(closure_rule, [i_0_99])). % 0.11/0.38 cnf(i_0_155, plain, (~between(v,u,w)), inference(closure_rule, [i_0_99])). % 0.11/0.38 cnf(i_0_153, plain, (between(v,w,euclid2(v,v,u,w,w))), inference(extension_rule, [i_0_96])). % 0.11/0.38 cnf(i_0_202, plain, (between(euclid2(v,v,u,w,w),w,v)), inference(etableau_closure_rule, [i_0_202, ...])). % 0.11/0.38 # End printing tableau % 0.11/0.38 # SZS output end % 0.11/0.38 # Branches closed with saturation will be marked with an "s" % 0.11/0.38 ted_conjecture, (v!=u), inference(start_rule)). % 0.11/0.38 cnf(i_0_104, plain, (v!=u), inference(extension_rule, [i_0_64])). % 0.11/0.38 cnf(i_0_158, plain, (~between(v,u,w)), inference(closure_rule, [i_0_99])). % 0.11/0.38 cnf(i_0_159, plain, (~between(v,u,w)), inference(closure_rule, [i_0_99])). % 0.11/0.38 cnf(i_0_157, plain, (between(v,v,euclid1(v,v,u,w,w))), inference(extension_rule, [i_0_96])). % 0.11/0.38 cnf(i_0_202, plain, (between(euclid1(v,v,u,w,w),v,v)), inference(etableau_closure_rule, [i_0_202, ...])). % 0.11/0.38 # End printing tableau % 0.11/0.38 # SZS output end % 0.11/0.38 # Branches closed with saturation will be marked with an "s" % 0.11/0.38 # Child (7068) has found a proof. % 0.11/0.38 % 0.11/0.38 # Proof search is over... % 0.11/0.38 # Freeing feature tree %------------------------------------------------------------------------------