%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : GEO013-3 : TPTP v8.1.0. Bugfixed v1.2.1. % 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 : n013.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 04:07:08 EDT 2022 % Result : Unsatisfiable 0.23s 0.43s % Output : CNFRefutation 0.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.14 % Problem : GEO013-3 : TPTP v8.1.0. Bugfixed v1.2.1. % 0.04/0.15 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.16/0.36 % Computer : n013.cluster.edu % 0.16/0.36 % Model : x86_64 x86_64 % 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.36 % Memory : 8042.1875MB % 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.36 % CPULimit : 300 % 0.16/0.36 % WCLimit : 600 % 0.16/0.36 % DateTime : Sat Jun 18 07:49:44 EDT 2022 % 0.16/0.36 % CPUTime : % 0.23/0.40 # No SInE strategy applied % 0.23/0.40 # Auto-Mode selected heuristic G_E___208_C02AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN % 0.23/0.40 # and selection function SelectComplexExceptUniqMaxHorn. % 0.23/0.40 # % 0.23/0.40 # Presaturation interreduction done % 0.23/0.40 # Number of axioms: 107 Number of unprocessed: 97 % 0.23/0.40 # Tableaux proof search. % 0.23/0.40 # APR header successfully linked. % 0.23/0.40 # Hello from C++ % 0.23/0.40 # The folding up rule is enabled... % 0.23/0.40 # Local unification is enabled... % 0.23/0.40 # Any saturation attempts will use folding labels... % 0.23/0.40 # 97 beginning clauses after preprocessing and clausification % 0.23/0.40 # Creating start rules for all 1 conjectures. % 0.23/0.40 # There are 1 start rule candidates: % 0.23/0.40 # Found 27 unit axioms. % 0.23/0.40 # 1 start rule tableaux created. % 0.23/0.40 # 70 extension rule candidate clauses % 0.23/0.40 # 27 unit axiom clauses % 0.23/0.40 % 0.23/0.40 # Requested 8, 32 cores available to the main process. % 0.23/0.40 # There are not enough tableaux to fork, creating more from the initial 1 % 0.23/0.40 # Returning from population with 16 new_tableaux and 0 remaining starting tableaux. % 0.23/0.40 # We now have 16 tableaux to operate on % 0.23/0.43 # There were 1 total branch saturation attempts. % 0.23/0.43 # There were 0 of these attempts blocked. % 0.23/0.43 # There were 0 deferred branch saturation attempts. % 0.23/0.43 # There were 0 free duplicated saturations. % 0.23/0.43 # There were 1 total successful branch saturations. % 0.23/0.43 # There were 0 successful branch saturations in interreduction. % 0.23/0.43 # There were 0 successful branch saturations on the branch. % 0.23/0.43 # There were 1 successful branch saturations after the branch. % 0.23/0.43 # There were 1 total branch saturation attempts. % 0.23/0.43 # There were 0 of these attempts blocked. % 0.23/0.43 # There were 0 deferred branch saturation attempts. % 0.23/0.43 # There were 0 free duplicated saturations. % 0.23/0.43 # There were 1 total successful branch saturations. % 0.23/0.43 # There were 0 successful branch saturations in interreduction. % 0.23/0.43 # There were 0 successful branch saturations on the branch. % 0.23/0.43 # There were 1 successful branch saturations after the branch. % 0.23/0.43 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.23/0.43 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.23/0.43 # Begin clausification derivation % 0.23/0.43 % 0.23/0.43 # End clausification derivation % 0.23/0.43 # Begin listing active clauses obtained from FOF to CNF conversion % 0.23/0.43 cnf(i_0_217, hypothesis, (colinear(a,b,d1))). % 0.23/0.43 cnf(i_0_218, hypothesis, (colinear(a,b,d2))). % 0.23/0.43 cnf(i_0_219, hypothesis, (colinear(a,b,d3))). % 0.23/0.43 cnf(i_0_209, plain, (colinear(X1,X2,X2))). % 0.23/0.43 cnf(i_0_208, plain, (colinear(X1,X2,X1))). % 0.23/0.43 cnf(i_0_207, plain, (colinear(X1,X1,X2))). % 0.23/0.43 cnf(i_0_159, plain, (between(X1,X2,X2))). % 0.23/0.43 cnf(i_0_162, plain, (between(X1,X1,X2))). % 0.23/0.43 cnf(i_0_111, plain, (equidistant(X1,X2,X2,X1))). % 0.23/0.43 cnf(i_0_135, plain, (equidistant(X1,X2,X1,X2))). % 0.23/0.43 cnf(i_0_151, plain, (equidistant(X1,X1,X2,X2))). % 0.23/0.43 cnf(i_0_144, plain, (extension(X1,X2,X3,X3)=X2)). % 0.23/0.43 cnf(i_0_114, plain, (between(X1,X2,extension(X1,X2,X3,X4)))). % 0.23/0.43 cnf(i_0_115, plain, (equidistant(X1,extension(X2,X1,X3,X4),X3,X4))). % 0.23/0.43 cnf(i_0_177, plain, (equidistant(X1,extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X3,extension(X4,X3,lower_dimension_point_1,lower_dimension_point_2)))). % 0.23/0.43 cnf(i_0_185, plain, (equidistant(X1,X2,X3,extension(extension(X4,X3,lower_dimension_point_1,lower_dimension_point_2),X3,X1,X2)))). % 0.23/0.43 cnf(i_0_158, plain, (extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2)=X1)). % 0.23/0.43 cnf(i_0_173, plain, (lower_dimension_point_2!=lower_dimension_point_1)). % 0.23/0.43 cnf(i_0_220, negated_conjecture, (~colinear(d1,d2,d3))). % 0.23/0.43 cnf(i_0_175, plain, (lower_dimension_point_3!=lower_dimension_point_1)). % 0.23/0.43 cnf(i_0_174, plain, (lower_dimension_point_3!=lower_dimension_point_2)). % 0.23/0.43 cnf(i_0_216, hypothesis, (b!=a)). % 0.23/0.43 cnf(i_0_120, plain, (~between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3))). % 0.23/0.43 cnf(i_0_121, plain, (~between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1))). % 0.23/0.43 cnf(i_0_122, plain, (~between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2))). % 0.23/0.43 cnf(i_0_206, plain, (~colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3))). % 0.23/0.43 cnf(i_0_176, plain, (extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2)!=X2)). % 0.23/0.43 cnf(i_0_117, plain, (X1=X2|~between(X1,X2,X1))). % 0.23/0.43 cnf(i_0_113, plain, (X1=X2|~equidistant(X1,X2,X3,X3))). % 0.23/0.43 cnf(i_0_150, plain, (X1=X2|extension(X2,X1,X2,X1)!=X1)). % 0.23/0.43 cnf(i_0_198, plain, (colinear(X1,X2,X3)|~between(X3,X2,X1))). % 0.23/0.43 cnf(i_0_130, plain, (colinear(X1,X2,X3)|~between(X2,X3,X1))). % 0.23/0.43 cnf(i_0_131, plain, (colinear(X1,X2,X3)|~between(X3,X1,X2))). % 0.23/0.43 cnf(i_0_200, plain, (colinear(X1,X2,X3)|~between(X2,X1,X3))). % 0.23/0.43 cnf(i_0_199, plain, (colinear(X1,X2,X3)|~between(X1,X3,X2))). % 0.23/0.43 cnf(i_0_161, plain, (between(X1,X2,X3)|~between(X3,X2,X1))). % 0.23/0.43 cnf(i_0_129, plain, (colinear(X1,X2,X3)|~between(X1,X2,X3))). % 0.23/0.43 cnf(i_0_197, plain, (X1=X2|~between(X3,X1,X2)|~equidistant(X3,X1,X3,X2))). % 0.23/0.43 cnf(i_0_201, plain, (colinear(X1,X2,X3)|~colinear(X3,X2,X1))). % 0.23/0.43 cnf(i_0_204, plain, (colinear(X1,X2,X3)|~colinear(X2,X3,X1))). % 0.23/0.43 cnf(i_0_202, plain, (colinear(X1,X2,X3)|~colinear(X3,X1,X2))). % 0.23/0.43 cnf(i_0_205, plain, (colinear(X1,X2,X3)|~colinear(X2,X1,X3))). % 0.23/0.43 cnf(i_0_203, plain, (colinear(X1,X2,X3)|~colinear(X1,X3,X2))). % 0.23/0.43 cnf(i_0_164, plain, (X1=X2|~between(X3,X2,X1)|~between(X3,X1,X2))). % 0.23/0.43 cnf(i_0_163, plain, (X1=X2|~between(X2,X1,X3)|~between(X1,X2,X3))). % 0.23/0.43 cnf(i_0_160, plain, (between(X1,X2,X3)|~between(X3,X2,X3))). % 0.23/0.43 cnf(i_0_142, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X4,X3,X2,X1))). % 0.23/0.43 cnf(i_0_141, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X3,X4,X2,X1))). % 0.23/0.43 cnf(i_0_140, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X4,X3,X1,X2))). % 0.23/0.43 cnf(i_0_136, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X3,X4,X1,X2))). % 0.23/0.43 cnf(i_0_139, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X2,X1,X4,X3))). % 0.23/0.43 cnf(i_0_137, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X2,X1,X3,X4))). % 0.23/0.43 cnf(i_0_168, plain, (between(X1,X2,X3)|~between(X4,X2,X3)|~between(X4,X1,X2))). % 0.23/0.43 cnf(i_0_154, plain, (extension(X1,X2,X2,X3)=X3|X1=X2|~between(X1,X2,X3))). % 0.23/0.43 cnf(i_0_138, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X1,X2,X4,X3))). % 0.23/0.43 cnf(i_0_171, plain, (between(X1,X2,X3)|~betwe# There were 1 total branch saturation attempts. % 0.23/0.43 # There were 0 of these attempts blocked. % 0.23/0.43 # There were 0 deferred branch saturation attempts. % 0.23/0.43 # There were 0 free duplicated saturations. % 0.23/0.43 # There were 1 total successful branch saturations. % 0.23/0.43 # There were 0 successful branch saturations in interreduction. % 0.23/0.43 # There were 0 successful branch saturations on the branch. % 0.23/0.43 # There were 1 successful branch saturations after the branch. % 0.23/0.43 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.23/0.43 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.23/0.43 # Begin clausification derivation % 0.23/0.43 % 0.23/0.43 # End clausification derivation % 0.23/0.43 # Begin listing active clauses obtained from FOF to CNF conversion % 0.23/0.43 cnf(i_0_217, hypothesis, (colinear(a,b,d1))). % 0.23/0.43 cnf(i_0_218, hypothesis, (colinear(a,b,d2))). % 0.23/0.43 cnf(i_0_219, hypothesis, (colinear(a,b,d3))). % 0.23/0.43 cnf(i_0_209, plain, (colinear(X1,X2,X2))). % 0.23/0.43 cnf(i_0_208, plain, (colinear(X1,X2,X1))). % 0.23/0.43 cnf(i_0_207, plain, (colinear(X1,X1,X2))). % 0.23/0.43 cnf(i_0_159, plain, (between(X1,X2,X2))). % 0.23/0.43 cnf(i_0_162, plain, (between(X1,X1,X2))). % 0.23/0.43 cnf(i_0_111, plain, (equidistant(X1,X2,X2,X1))). % 0.23/0.43 cnf(i_0_135, plain, (equidistant(X1,X2,X1,X2))). % 0.23/0.43 cnf(i_0_151, plain, (equidistant(X1,X1,X2,X2))). % 0.23/0.43 cnf(i_0_144, plain, (extension(X1,X2,X3,X3)=X2)). % 0.23/0.43 cnf(i_0_114, plain, (between(X1,X2,extension(X1,X2,X3,X4)))). % 0.23/0.43 cnf(i_0_115, plain, (equidistant(X1,extension(X2,X1,X3,X4),X3,X4))). % 0.23/0.43 cnf(i_0_177, plain, (equidistant(X1,extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X3,extension(X4,X3,lower_dimension_point_1,lower_dimension_point_2)))). % 0.23/0.43 cnf(i_0_185, plain, (equidistant(X1,X2,X3,extension(extension(X4,X3,lower_dimension_point_1,lower_dimension_point_2),X3,X1,X2)))). % 0.23/0.43 cnf(i_0_158, plain, (extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2)=X1)). % 0.23/0.43 cnf(i_0_173, plain, (lower_dimension_point_2!=lower_dimension_point_1)). % 0.23/0.43 cnf(i_0_220, negated_conjecture, (~colinear(d1,d2,d3))). % 0.23/0.43 cnf(i_0_175, plain, (lower_dimension_point_3!=lower_dimension_point_1)). % 0.23/0.43 cnf(i_0_174, plain, (lower_dimension_point_3!=lower_dimension_point_2)). % 0.23/0.43 cnf(i_0_216, hypothesis, (b!=a)). % 0.23/0.43 cnf(i_0_120, plain, (~between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3))). % 0.23/0.43 cnf(i_0_121, plain, (~between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1))). % 0.23/0.43 cnf(i_0_122, plain, (~between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2))). % 0.23/0.43 cnf(i_0_206, plain, (~colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3))). % 0.23/0.43 cnf(i_0_176, plain, (extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2)!=X2)). % 0.23/0.43 cnf(i_0_117, plain, (X1=X2|~between(X1,X2,X1))). % 0.23/0.43 cnf(i_0_113, plain, (X1=X2|~equidistant(X1,X2,X3,X3))). % 0.23/0.43 cnf(i_0_150, plain, (X1=X2|extension(X2,X1,X2,X1)!=X1)). % 0.23/0.43 cnf(i_0_198, plain, (colinear(X1,X2,X3)|~between(X3,X2,X1))). % 0.23/0.43 cnf(i_0_130, plain, (colinear(X1,X2,X3)|~between(X2,X3,X1))). % 0.23/0.43 cnf(i_0_131, plain, (colinear(X1,X2,X3)|~between(X3,X1,X2))). % 0.23/0.43 cnf(i_0_200, plain, (colinear(X1,X2,X3)|~between(X2,X1,X3))). % 0.23/0.43 cnf(i_0_199, plain, (colinear(X1,X2,X3)|~between(X1,X3,X2))). % 0.23/0.43 cnf(i_0_161, plain, (between(X1,X2,X3)|~between(X3,X2,X1))). % 0.23/0.43 cnf(i_0_129, plain, (colinear(X1,X2,X3)|~between(X1,X2,X3))). % 0.23/0.43 cnf(i_0_197, plain, (X1=X2|~between(X3,X1,X2)|~equidistant(X3,X1,X3,X2))). % 0.23/0.43 cnf(i_0_201, plain, (colinear(X1,X2,X3)|~colinear(X3,X2,X1))). % 0.23/0.43 cnf(i_0_204, plain, (colinear(X1,X2,X3)|~colinear(X2,X3,X1))). % 0.23/0.43 cnf(i_0_202, plain, (colinear(X1,X2,X3)|~colinear(X3,X1,X2))). % 0.23/0.43 cnf(i_0_205, plain, (colinear(X1,X2,X3)|~colinear(X2,X1,X3))). % 0.23/0.43 cnf(i_0_203, plain, (colinear(X1,X2,X3)|~colinear(X1,X3,X2))). % 0.23/0.43 cnf(i_0_164, plain, (X1=X2|~between(X3,X2,X1)|~between(X3,X1,X2))). % 0.23/0.43 cnf(i_0_163, plain, (X1=X2|~between(X2,X1,X3)|~between(X1,X2,X3))). % 0.23/0.43 cnf(i_0_160, plain, (between(X1,X2,X3)|~between(X3,X2,X3))). % 0.23/0.43 cnf(i_0_142, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X4,X3,X2,X1))). % 0.23/0.43 cnf(i_0_141, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X3,X4,X2,X1))). % 0.23/0.43 cnf(i_0_140, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X4,X3,X1,X2))). % 0.23/0.43 cnf(i_0_136, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X3,X4,X1,X2))). % 0.23/0.43 cnf(i_0_139, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X2,X1,X4,X3))). % 0.23/0.43 cnf(i_0_137, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X2,X1,X3,X4))). % 0.23/0.43 cnf(i_0_168, plain, (between(X1,X2,X3)|~between(X4,X2,X3)|~between(X4,X1,X2))). % 0.23/0.43 cnf(i_0_154, plain, (extension(X1,X2,X2,X3)=X3|X1=X2|~between(X1,X2,X3))). % 0.23/0.43 cnf(i_0_138, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X1,X2,X4,X3))). % 0.23/0.43 cnf(i_0_171, plain, (between(X1,X2,X3)|~betwe# SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.23/0.43 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.23/0.43 # Begin clausification derivation % 0.23/0.43 % 0.23/0.43 # End clausification derivation % 0.23/0.43 # Begin listing active clauses obtained from FOF to CNF conversion % 0.23/0.43 cnf(i_0_217, hypothesis, (colinear(a,b,d1))). % 0.23/0.43 cnf(i_0_218, hypothesis, (colinear(a,b,d2))). % 0.23/0.43 cnf(i_0_219, hypothesis, (colinear(a,b,d3))). % 0.23/0.43 cnf(i_0_209, plain, (colinear(X1,X2,X2))). % 0.23/0.43 cnf(i_0_208, plain, (colinear(X1,X2,X1))). % 0.23/0.43 cnf(i_0_207, plain, (colinear(X1,X1,X2))). % 0.23/0.43 cnf(i_0_159, plain, (between(X1,X2,X2))). % 0.23/0.43 cnf(i_0_162, plain, (between(X1,X1,X2))). % 0.23/0.43 cnf(i_0_111, plain, (equidistant(X1,X2,X2,X1))). % 0.23/0.43 cnf(i_0_135, plain, (equidistant(X1,X2,X1,X2))). % 0.23/0.43 cnf(i_0_151, plain, (equidistant(X1,X1,X2,X2))). % 0.23/0.43 cnf(i_0_144, plain, (extension(X1,X2,X3,X3)=X2)). % 0.23/0.43 cnf(i_0_114, plain, (between(X1,X2,extension(X1,X2,X3,X4)))). % 0.23/0.43 cnf(i_0_115, plain, (equidistant(X1,extension(X2,X1,X3,X4),X3,X4))). % 0.23/0.43 cnf(i_0_177, plain, (equidistant(X1,extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X3,extension(X4,X3,lower_dimension_point_1,lower_dimension_point_2)))). % 0.23/0.43 cnf(i_0_185, plain, (equidistant(X1,X2,X3,extension(extension(X4,X3,lower_dimension_point_1,lower_dimension_point_2),X3,X1,X2)))). % 0.23/0.43 cnf(i_0_158, plain, (extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2)=X1)). % 0.23/0.43 cnf(i_0_173, plain, (lower_dimension_point_2!=lower_dimension_point_1)). % 0.23/0.43 cnf(i_0_220, negated_conjecture, (~colinear(d1,d2,d3))). % 0.23/0.43 cnf(i_0_175, plain, (lower_dimension_point_3!=lower_dimension_point_1)). % 0.23/0.43 cnf(i_0_174, plain, (lower_dimension_point_3!=lower_dimension_point_2)). % 0.23/0.43 cnf(i_0_216, hypothesis, (b!=a)). % 0.23/0.43 cnf(i_0_120, plain, (~between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3))). % 0.23/0.43 cnf(i_0_121, plain, (~between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1))). % 0.23/0.43 cnf(i_0_122, plain, (~between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2))). % 0.23/0.43 cnf(i_0_206, plain, (~colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3))). % 0.23/0.43 cnf(i_0_176, plain, (extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2)!=X2)). % 0.23/0.43 cnf(i_0_117, plain, (X1=X2|~between(X1,X2,X1))). % 0.23/0.43 cnf(i_0_113, plain, (X1=X2|~equidistant(X1,X2,X3,X3))). % 0.23/0.43 cnf(i_0_150, plain, (X1=X2|extension(X2,X1,X2,X1)!=X1)). % 0.23/0.43 cnf(i_0_198, plain, (colinear(X1,X2,X3)|~between(X3,X2,X1))). % 0.23/0.43 cnf(i_0_130, plain, (colinear(X1,X2,X3)|~between(X2,X3,X1))). % 0.23/0.43 cnf(i_0_131, plain, (colinear(X1,X2,X3)|~between(X3,X1,X2))). % 0.23/0.43 cnf(i_0_200, plain, (colinear(X1,X2,X3)|~between(X2,X1,X3))). % 0.23/0.43 cnf(i_0_199, plain, (colinear(X1,X2,X3)|~between(X1,X3,X2))). % 0.23/0.43 cnf(i_0_161, plain, (between(X1,X2,X3)|~between(X3,X2,X1))). % 0.23/0.43 cnf(i_0_129, plain, (colinear(X1,X2,X3)|~between(X1,X2,X3))). % 0.23/0.43 cnf(i_0_197, plain, (X1=X2|~between(X3,X1,X2)|~equidistant(X3,X1,X3,X2))). % 0.23/0.43 cnf(i_0_201, plain, (colinear(X1,X2,X3)|~colinear(X3,X2,X1))). % 0.23/0.43 cnf(i_0_204, plain, (colinear(X1,X2,X3)|~colinear(X2,X3,X1))). % 0.23/0.43 cnf(i_0_202, plain, (colinear(X1,X2,X3)|~colinear(X3,X1,X2))). % 0.23/0.43 cnf(i_0_205, plain, (colinear(X1,X2,X3)|~colinear(X2,X1,X3))). % 0.23/0.43 cnf(i_0_203, plain, (colinear(X1,X2,X3)|~colinear(X1,X3,X2))). % 0.23/0.43 cnf(i_0_164, plain, (X1=X2|~between(X3,X2,X1)|~between(X3,X1,X2))). % 0.23/0.43 cnf(i_0_163, plain, (X1=X2|~between(X2,X1,X3)|~between(X1,X2,X3))). % 0.23/0.43 cnf(i_0_160, plain, (between(X1,X2,X3)|~between(X3,X2,X3))). % 0.23/0.43 cnf(i_0_142, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X4,X3,X2,X1))). % 0.23/0.43 cnf(i_0_141, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X3,X4,X2,X1))). % 0.23/0.43 cnf(i_0_140, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X4,X3,X1,X2))). % 0.23/0.43 cnf(i_0_136, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X3,X4,X1,X2))). % 0.23/0.43 cnf(i_0_139, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X2,X1,X4,X3))). % 0.23/0.43 cnf(i_0_137, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X2,X1,X3,X4))). % 0.23/0.43 cnf(i_0_168, plain, (between(X1,X2,X3)|~between(X4,X2,X3)|~between(X4,X1,X2))). % 0.23/0.43 cnf(i_0_154, plain, (extension(X1,X2,X2,X3)=X3|X1=X2|~between(X1,X2,X3))). % 0.23/0.43 cnf(i_0_138, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X1,X2,X4,X3))). % 0.23/0.43 cnf(i_0_171, plain, (between(X1,X2,X3)|~between(X4,X2,X3)|~between(X1,X4,X3))). % 0.23/0.43 cnf(i_0_172, plain, (between(X1,X2,X3)|~between(X1,X4,X3)|~between(X1,X2,X4))). % 0.23/0.43 cnf(i_0_184, plain, (X1=X2|~between(X3,X1,X4)|~equidistant(X4,X1,X4,X2)|~equidistant(X3,X1,X3,X2))). % 0.23/0.43 cnf(i_0_156, plain, (extension(X1,X2,X1,X2)=extension(X1,X2,X2,X1)|X1=X2)). % 0.23/0.43 cnf(i_0_214, plain, (X1=X2|colinear(X3,X4,X2)|~colinear(X3,X1,X2)|~colinear(X4,X1,X2))). % 0.23/0.43 cnf(i_0_215, plain, (X1=X2|colinear(X3,X4,X1)|~colinear(X3,X1,X2)|~colinear(X4,X1,X2))). % 0.23/0.43 cnf(i_0_213, plain, (X1=X2|colinear(X2,X3,X4)|~colinear(X1,X2,X4)|~colinear(X1,X2,X3))). % 0.23/0.43 cnf(i_0_212, plain, (X1=X2|colinear(X1,X3,X4)|~colinear(X1,X2,X4)|~colinear(X1,X2,X3))). % 0.23/0.43 cnf(i_0_169, plain, (X1=X2|between(X3,X2,X4)|~between(X1,X2,X4)|~between(X3,X1,X2))). % 0.23/0.43 cnf(i_0_188, plain, (extension(extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X2,X2,X3)=X3|~between(X2,X3,X1))). % 0.23/0.43 cnf(i_0_170, plain, (X1=X2|between(X3,X1,X4)|~between(X1,X2,X4)|~between(X3,X1,X2))). % 0.23/0.43 cnf(i_0_153, plain, (X1=X2|X3=X4|~between(X1,X2,X4)|~between(X1,X2,X3)|~equidistant(X2,X3,X2,X4))). % 0.23/0.43 cnf(i_0_112, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X5,X6,X3,X4)|~equidistant(X5,X6,X1,X2))). % 0.23/0.43 cnf(i_0_143, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X5,X6,X3,X4)|~equidistant(X1,X2,X5,X6))). % 0.23/0.43 cnf(i_0_180, plain, (X1=X2|X3=X4|~between(X1,X2,X3)|~equidistant(X2,X3,X2,X4)|~equidistant(X1,X3,X1,X4))). % 0.23/0.43 cnf(i_0_196, plain, (between(X1,X2,X3)|~between(X4,X2,X5)|~between(X1,X5,X3)|~between(X1,X4,X3))). % 0.23/0.43 cnf(i_0_119, plain, (between(X1,inner_pasch(X2,X3,X4,X1,X5),X2)|~between(X5,X1,X4)|~between(X2,X3,X4))). % 0.23/0.43 cnf(i_0_118, plain, (between(X1,inner_pasch(X2,X1,X3,X4,X5),X5)|~between(X5,X4,X3)|~between(X2,X1,X3))). % 0.23/0.43 cnf(i_0_132, plain, (between(X1,X2,X3)|between(X2,X3,X1)|between(X3,X1,X2)|~colinear(X1,X2,X3))). % 0.23/0.43 cnf(i_0_195, plain, (between(X1,X2,X3)|between(X2,X1,X3)|~between(X4,X2,X3)|~between(X4,X1,X3))). % 0.23/0.43 cnf(i_0_194, plain, (between(X1,X2,X3)|between(X1,X3,X2)|~between(X1,X3,X4)|~between(X1,X2,X4))). % 0.23/0.43 cnf(i_0_125, plain, (X1=X2|between(X1,X3,euclid2(X1,X4,X2,X3,X5))|~between(X4,X2,X3)|~between(X1,X2,X5))). % 0.23/0.43 cnf(i_0_124, plain, (X1=X2|between(X1,X3,euclid1(X1,X3,X2,X4,X5))|~between(X3,X2,X4)|~between(X1,X2,X5))). % 0.23/0.43 cnf(i_0_155, plain, (extension(X1,X2,X3,X4)=extension(X1,X2,X5,X6)|X1=X2|~equidistant(X3,X4,X5,X6))). % 0.23/0.43 cnf(i_0_193, plain, (X1=X2|between(X3,X4,X1)|between(X4,X3,X1)|~between(X4,X1,X2)|~between(X3,X1,X2))). % 0.23/0.43 cnf(i_0_192, plain, (X1=X2|between(X2,X3,X4)|between(X2,X4,X3)|~between(X1,X2,X4)|~between(X1,X2,X3))). % 0.23/0.43 cnf(i_0_191, plain, (X1=X2|between(X1,X3,X4)|between(X1,X4,X3)|~between(X1,X2,X4)|~between(X1,X2,X3))). % 0.23/0.43 cnf(i_0_182, plain, (equidistant(X1,X2,X3,X4)|~between(X5,X3,X4)|~between(X6,X1,X2)|~equidistant(X6,X2,X5,X4)|~equidistant(X6,X1,X5,X3))). % 0.23/0.43 cnf(i_0_190, plain, (between(X1,X2,X3)|~between(X4,X5,X6)|~equidistant(X5,X6,X2,X3)|~equidistant(X4,X6,X1,X3)|~equidistant(X4,X5,X1,X2))). % 0.23/0.43 cnf(i_0_211, plain, (colinear(X1,X2,X3)|~colinear(X4,X5,X6)|~equidistant(X5,X6,X2,X3)|~equidistant(X4,X6,X1,X3)|~equidistant(X4,X5,X1,X2))). % 0.23/0.43 cnf(i_0_152, plain, (equidistant(X1,X2,X3,X4)|~between(X3,X5,X4)|~between(X1,X6,X2)|~equidistant(X6,X2,X5,X4)|~equidistant(X1,X6,X3,X5))). % 0.23/0.43 cnf(i_0_128, 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))). % 0.23/0.43 cnf(i_0_187, plain, (equidistant(X1,X2,extension(extension(X3,X4,lower_dimension_point_1,lower_dimension_point_2),X4,X5,X1),X3)|~between(X5,X1,X2)|~equidistant(X5,X2,X4,X3))). % 0.23/0.43 cnf(i_0_186, plain, (between(X1,extension(extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X1,X3,X4),X2)|~between(X3,X4,X5)|~equidistant(X3,X5,X1,X2))). % 0.23/0.43 cnf(i_0_126, 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))). % 0.23/0.43 cnf(i_0_127, 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))). % 0.23/0.43 cnf(i_0_189, plain, (extension(extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X2,X3,X4)=extension(extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X2,X5,X6)|~equidistant(X3,X4,X5,X6))). % 0.23/0.43 cnf(i_0_123, 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))). % 0.23/0.43 cnf(i_0_183, plain, (equidistant(X1,X2,X3,X4)|~between(X5,X3,X6)|~between(X7,X1,X8)|~equidistant(X8,X2,X6,X4)|~equidistant(X1,X8,X3,X6)|~equidistant(X7,X2,X5,X4)|~equidistant(X7,X1,X5,X3))). % 0.23/0.43 cnf(i_0_181, plain, (equidistant(X1,X2,X3,X4)|~between(X5,X3,X6)|~between(X7,X1,X8)|~equidistant(X8,X2,X6,X4)|~equidistant(X7,X2,X5,X4)|~equidistant(X7,X8,X5,X6)|~equidistant(X7,X1,X5,X3))). % 0.23/0.43 cnf(i_0_116, 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))). % 0.23/0.43 cnf(i_0_179, plain, (between(X1,inner_pasch(X2,inner_pasch(X3,X4,X5,X2,X6),X3,X1,X6),X2)|between(X4,inner_pasch(X2,inner_pasch(X3,X4,X5,X2,X6),X3,X1,X6),X6)|~between(X5,X2,X6)|~between(X3,X4,X5)|~between(X3,X1,X6))). % 0.23/0.43 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.23/0.43 # Begin printing tableau % 0.23/0.43 # Found 4 steps % 0.23/0.43 cnf(i_0_220, negated_conjecture, (~colinear(d1,d2,d3)), inference(start_rule)). % 0.23/0.43 cnf(i_0_225, plain, (~colinear(d1,d2,d3)), inference(extension_rule, [i_0_205])). % 0.23/0.43 cnf(i_0_256, plain, (~colinear(d2,d1,d3)), inference(extension_rule, [i_0_198])). % 0.23/0.43 cnf(i_0_472, plain, (~between(d3,d1,d2)), inference(etableau_closure_rule, [i_0_472, ...])). % 0.23/0.43 # End printing tableau % 0.23/0.43 # SZS output end % 0.23/0.43 # Branches closed with saturation will be marked with an "s" % 0.23/0.43 en(X4,X2,X3)|~between(X1,X4,X3))). % 0.23/0.43 cnf(i_0_172, plain, (between(X1,X2,X3)|~between(X1,X4,X3)|~between(X1,X2,X4))). % 0.23/0.43 cnf(i_0_184, plain, (X1=X2|~between(X3,X1,X4)|~equidistant(X4,X1,X4,X2)|~equidistant(X3,X1,X3,X2))). % 0.23/0.43 cnf(i_0_156, plain, (extension(X1,X2,X1,X2)=extension(X1,X2,X2,X1)|X1=X2)). % 0.23/0.43 cnf(i_0_214, plain, (X1=X2|colinear(X3,X4,X2)|~colinear(X3,X1,X2)|~colinear(X4,X1,X2))). % 0.23/0.43 cnf(i_0_215, plain, (X1=X2|colinear(X3,X4,X1)|~colinear(X3,X1,X2)|~colinear(X4,X1,X2))). % 0.23/0.43 cnf(i_0_213, plain, (X1=X2|colinear(X2,X3,X4)|~colinear(X1,X2,X4)|~colinear(X1,X2,X3))). % 0.23/0.43 cnf(i_0_212, plain, (X1=X2|colinear(X1,X3,X4)|~colinear(X1,X2,X4)|~colinear(X1,X2,X3))). % 0.23/0.43 cnf(i_0_169, plain, (X1=X2|between(X3,X2,X4)|~between(X1,X2,X4)|~between(X3,X1,X2))). % 0.23/0.43 cnf(i_0_188, plain, (extension(extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X2,X2,X3)=X3|~between(X2,X3,X1))). % 0.23/0.43 cnf(i_0_170, plain, (X1=X2|between(X3,X1,X4)|~between(X1,X2,X4)|~between(X3,X1,X2))). % 0.23/0.43 cnf(i_0_153, plain, (X1=X2|X3=X4|~between(X1,X2,X4)|~between(X1,X2,X3)|~equidistant(X2,X3,X2,X4))). % 0.23/0.43 cnf(i_0_112, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X5,X6,X3,X4)|~equidistant(X5,X6,X1,X2))). % 0.23/0.43 cnf(i_0_143, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X5,X6,X3,X4)|~equidistant(X1,X2,X5,X6))). % 0.23/0.43 cnf(i_0_180, plain, (X1=X2|X3=X4|~between(X1,X2,X3)|~equidistant(X2,X3,X2,X4)|~equidistant(X1,X3,X1,X4))). % 0.23/0.43 cnf(i_0_196, plain, (between(X1,X2,X3)|~between(X4,X2,X5)|~between(X1,X5,X3)|~between(X1,X4,X3))). % 0.23/0.43 cnf(i_0_119, plain, (between(X1,inner_pasch(X2,X3,X4,X1,X5),X2)|~between(X5,X1,X4)|~between(X2,X3,X4))). % 0.23/0.43 cnf(i_0_118, plain, (between(X1,inner_pasch(X2,X1,X3,X4,X5),X5)|~between(X5,X4,X3)|~between(X2,X1,X3))). % 0.23/0.43 cnf(i_0_132, plain, (between(X1,X2,X3)|between(X2,X3,X1)|between(X3,X1,X2)|~colinear(X1,X2,X3))). % 0.23/0.43 cnf(i_0_195, plain, (between(X1,X2,X3)|between(X2,X1,X3)|~between(X4,X2,X3)|~between(X4,X1,X3))). % 0.23/0.43 cnf(i_0_194, plain, (between(X1,X2,X3)|between(X1,X3,X2)|~between(X1,X3,X4)|~between(X1,X2,X4))). % 0.23/0.43 cnf(i_0_125, plain, (X1=X2|between(X1,X3,euclid2(X1,X4,X2,X3,X5))|~between(X4,X2,X3)|~between(X1,X2,X5))). % 0.23/0.43 cnf(i_0_124, plain, (X1=X2|between(X1,X3,euclid1(X1,X3,X2,X4,X5))|~between(X3,X2,X4)|~between(X1,X2,X5))). % 0.23/0.43 cnf(i_0_155, plain, (extension(X1,X2,X3,X4)=extension(X1,X2,X5,X6)|X1=X2|~equidistant(X3,X4,X5,X6))). % 0.23/0.43 cnf(i_0_193, plain, (X1=X2|between(X3,X4,X1)|between(X4,X3,X1)|~between(X4,X1,X2)|~between(X3,X1,X2))). % 0.23/0.43 cnf(i_0_192, plain, (X1=X2|between(X2,X3,X4)|between(X2,X4,X3)|~between(X1,X2,X4)|~between(X1,X2,X3))). % 0.23/0.43 cnf(i_0_191, plain, (X1=X2|between(X1,X3,X4)|between(X1,X4,X3)|~between(X1,X2,X4)|~between(X1,X2,X3))). % 0.23/0.43 cnf(i_0_182, plain, (equidistant(X1,X2,X3,X4)|~between(X5,X3,X4)|~between(X6,X1,X2)|~equidistant(X6,X2,X5,X4)|~equidistant(X6,X1,X5,X3))). % 0.23/0.43 cnf(i_0_190, plain, (between(X1,X2,X3)|~between(X4,X5,X6)|~equidistant(X5,X6,X2,X3)|~equidistant(X4,X6,X1,X3)|~equidistant(X4,X5,X1,X2))). % 0.23/0.43 cnf(i_0_211, plain, (colinear(X1,X2,X3)|~colinear(X4,X5,X6)|~equidistant(X5,X6,X2,X3)|~equidistant(X4,X6,X1,X3)|~equidistant(X4,X5,X1,X2))). % 0.23/0.43 cnf(i_0_152, plain, (equidistant(X1,X2,X3,X4)|~between(X3,X5,X4)|~between(X1,X6,X2)|~equidistant(X6,X2,X5,X4)|~equidistant(X1,X6,X3,X5))). % 0.23/0.43 cnf(i_0_128, 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))). % 0.23/0.43 cnf(i_0_187, plain, (equidistant(X1,X2,extension(extension(X3,X4,lower_dimension_point_1,lower_dimension_point_2),X4,X5,X1),X3)|~between(X5,X1,X2)|~equidistant(X5,X2,X4,X3))). % 0.23/0.43 cnf(i_0_186, plain, (between(X1,extension(extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X1,X3,X4),X2)|~between(X3,X4,X5)|~equidistant(X3,X5,X1,X2))). % 0.23/0.43 cnf(i_0_126, 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))). % 0.23/0.43 cnf(i_0_127, 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))). % 0.23/0.43 cnf(i_0_189, plain, (extension(extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X2,X3,X4)=extension(extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X2,X5,X6)|~equidistant(X3,X4,X5,X6))). % 0.23/0.43 cnf(i_0_123, 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))). % 0.23/0.43 cnf(i_0_183, plain, (equidistant(X1,X2,X3,X4)|~between(X5,X3,X6)|~between(X7,X1,X8)|~equidistant(X8,X2,X6,X4)|~equidistant(X1,X8,X3,X6)|~equidistant(X7,X2,X5,X4)|~equidistant(X7,X1,X5,X3))). % 0.23/0.43 cnf(i_0_181, plain, (equidistant(X1,X2,X3,X4)|~between(X5,X3,X6)|~between(X7,X1,X8)|~equidistant(X8,X2,X6,X4)|~equidistant(X7,X2,X5,X4)|~equidistant(X7,X8,X5,X6)|~equidistant(X7,X1,X5,X3))). % 0.23/0.43 cnf(i_0_116, 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))). % 0.23/0.43 cnf(i_0_179, plain, (between(X1,inner_pasch(X2,inner_pasch(X3,X4,X5,X2,X6),X3,X1,X6),X2)|between(X4,inner_pasch(X2,inner_pasch(X3,X4,X5,X2,X6),X3,X1,X6),X6)|~between(X5,X2,X6)|~between(X3,X4,X5)|~between(X3,X1,X6))). % 0.23/0.43 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.23/0.43 # Begin printing tableau % 0.23/0.43 # Found 8 steps % 0.23/0.43 cnf(i_0_220, negated_conjecture, (~colinear(d1,d2,d3)), inference(start_rule)). % 0.23/0.43 cnf(i_0_225, plain, (~colinear(d1,d2,d3)), inference(extension_rule, [i_0_215])). % 0.23/0.43 cnf(i_0_303, plain, (extension(d1,d3,lower_dimension_point_1,lower_dimension_point_2)=d3), inference(closure_rule, [i_0_176])). % 0.23/0.43 cnf(i_0_305, plain, (~colinear(d1,d3,extension(d1,d3,lower_dimension_point_1,lower_dimension_point_2))), inference(extension_rule, [i_0_198])). % 0.23/0.43 cnf(i_0_472, plain, (~between(extension(d1,d3,lower_dimension_point_1,lower_dimension_point_2),d3,d1)), inference(extension_rule, [i_0_161])). % 0.23/0.43 cnf(i_0_488, plain, (~between(d1,d3,extension(d1,d3,lower_dimension_point_1,lower_dimension_point_2))), inference(closure_rule, [i_0_114])). % 0.23/0.43 cnf(i_0_306, plain, (~colinear(d2,d3,extension(d1,d3,lower_dimension_point_1,lower_dimension_point_2))), inference(extension_rule, [i_0_130])). % 0.23/0.43 cnf(i_0_496, plain, (~between(d3,extension(d1,d3,lower_dimension_point_1,lower_dimension_point_2),d2)), inference(etableau_closure_rule, [i_0_496, ...])). % 0.23/0.43 # End printing tableau % 0.23/0.43 # SZS output end % 0.23/0.43 # Branches closed with saturation will be marked with an "s" % 0.23/0.43 # Child (15848) has found a proof. % 0.23/0.43 % 0.23/0.43 # Proof search is over... % 0.23/0.43 # Freeing feature tree %------------------------------------------------------------------------------