%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : PUZ016-2.005 : TPTP v8.1.0. Released v1.2.0. % 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 : n032.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 : Mon Jul 18 18:10:58 EDT 2022 % Result : Unsatisfiable 0.13s 0.33s % Output : CNFRefutation 0.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.09 % Problem : PUZ016-2.005 : TPTP v8.1.0. Released v1.2.0. % 0.00/0.09 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.10/0.28 % Computer : n032.cluster.edu % 0.10/0.28 % Model : x86_64 x86_64 % 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.28 % Memory : 8042.1875MB % 0.10/0.28 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.28 % CPULimit : 300 % 0.10/0.28 % WCLimit : 600 % 0.10/0.28 % DateTime : Sat May 28 22:54:40 EDT 2022 % 0.10/0.28 % CPUTime : % 0.13/0.31 # No SInE strategy applied % 0.13/0.31 # Auto-Mode selected heuristic H_____011_C07_F1_PI_AE_OS_S1U % 0.13/0.31 # and selection function SelectComplexAHPExceptRRHorn. % 0.13/0.31 # % 0.13/0.31 # Number of axioms: 117 Number of unprocessed: 117 % 0.13/0.31 # Tableaux proof search. % 0.13/0.31 # APR header successfully linked. % 0.13/0.31 # Hello from C++ % 0.13/0.31 # The folding up rule is enabled... % 0.13/0.31 # Local unification is enabled... % 0.13/0.31 # Any saturation attempts will use folding labels... % 0.13/0.31 # 117 beginning clauses after preprocessing and clausification % 0.13/0.31 # Creating start rules for all 117 conjectures. % 0.13/0.31 # There are 117 start rule candidates: % 0.13/0.31 # Found 6 unit axioms. % 0.13/0.31 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.13/0.31 # 117 start rule tableaux created. % 0.13/0.31 # 111 extension rule candidate clauses % 0.13/0.31 # 6 unit axiom clauses % 0.13/0.31 % 0.13/0.31 # Requested 8, 32 cores available to the main process. % 0.13/0.33 # There were 5 total branch saturation attempts. % 0.13/0.33 # There were 0 of these attempts blocked. % 0.13/0.33 # There were 0 deferred branch saturation attempts. % 0.13/0.33 # There were 0 free duplicated saturations. % 0.13/0.33 # There were 5 total successful branch saturations. % 0.13/0.33 # There were 3 successful branch saturations in interreduction. % 0.13/0.33 # There were 0 successful branch saturations on the branch. % 0.13/0.33 # There were 2 successful branch saturations after the branch. % 0.13/0.33 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.13/0.33 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.13/0.33 # Begin clausification derivation % 0.13/0.33 % 0.13/0.33 # End clausification derivation % 0.13/0.33 # Begin listing active clauses obtained from FOF to CNF conversion % 0.13/0.33 cnf(i_0_118, negated_conjecture, (~horizontal_1_2)). % 0.13/0.33 cnf(i_0_123, negated_conjecture, (~horizontal_1_2)). % 0.13/0.33 cnf(i_0_119, negated_conjecture, (~horizontal_1_3)). % 0.13/0.33 cnf(i_0_120, negated_conjecture, (~vertical_1_2)). % 0.13/0.33 cnf(i_0_121, negated_conjecture, (~vertical_1_3)). % 0.13/0.33 cnf(i_0_122, negated_conjecture, (~horizontal_1_1)). % 0.13/0.33 cnf(i_0_124, negated_conjecture, (horizontal_1_1|vertical_1_1)). % 0.13/0.33 cnf(i_0_126, negated_conjecture, (horizontal_1_4|vertical_1_5)). % 0.13/0.33 cnf(i_0_142, negated_conjecture, (vertical_4_1|horizontal_5_1)). % 0.13/0.33 cnf(i_0_146, negated_conjecture, (vertical_4_5|horizontal_5_4)). % 0.13/0.33 cnf(i_0_125, negated_conjecture, (horizontal_1_3|horizontal_1_4|vertical_1_4)). % 0.13/0.33 cnf(i_0_127, negated_conjecture, (vertical_1_1|horizontal_2_1|vertical_2_1)). % 0.13/0.33 cnf(i_0_131, negated_conjecture, (vertical_1_5|horizontal_2_4|vertical_2_5)). % 0.13/0.33 cnf(i_0_132, negated_conjecture, (vertical_2_1|horizontal_3_1|vertical_3_1)). % 0.13/0.33 cnf(i_0_136, negated_conjecture, (vertical_2_5|horizontal_3_4|vertical_3_5)). % 0.13/0.33 cnf(i_0_137, negated_conjecture, (vertical_3_1|horizontal_4_1|vertical_4_1)). % 0.13/0.33 cnf(i_0_141, negated_conjecture, (vertical_3_5|horizontal_4_4|vertical_4_5)). % 0.13/0.33 cnf(i_0_143, negated_conjecture, (vertical_4_2|horizontal_5_1|horizontal_5_2)). % 0.13/0.33 cnf(i_0_144, negated_conjecture, (vertical_4_3|horizontal_5_2|horizontal_5_3)). % 0.13/0.33 cnf(i_0_145, negated_conjecture, (vertical_4_4|horizontal_5_3|horizontal_5_4)). % 0.13/0.33 cnf(i_0_149, negated_conjecture, (~horizontal_1_3|~horizontal_1_4)). % 0.13/0.33 cnf(i_0_150, negated_conjecture, (~horizontal_1_3|~vertical_1_4)). % 0.13/0.33 cnf(i_0_160, negated_conjecture, (~vertical_1_2|~horizontal_2_1)). % 0.13/0.33 cnf(i_0_157, negated_conjecture, (~vertical_1_2|~horizontal_2_2)). % 0.13/0.33 cnf(i_0_159, negated_conjecture, (~vertical_1_2|~vertical_2_2)). % 0.13/0.33 cnf(i_0_166, negated_conjecture, (~vertical_1_3|~horizontal_2_2)). % 0.13/0.33 cnf(i_0_163, negated_conjecture, (~vertical_1_3|~horizontal_2_3)). % 0.13/0.33 cnf(i_0_165, negated_conjecture, (~vertical_1_3|~vertical_2_3)). % 0.13/0.33 cnf(i_0_147, negated_conjecture, (~horizontal_1_1|~vertical_1_1)). % 0.13/0.33 cnf(i_0_153, negated_conjecture, (~vertical_1_1|~horizontal_2_1)). % 0.13/0.33 cnf(i_0_154, negated_conjecture, (~vertical_1_1|~vertical_2_1)). % 0.13/0.33 cnf(i_0_148, negated_conjecture, (~horizontal_1_4|~vertical_1_4)). % 0.13/0.33 cnf(i_0_151, negated_conjecture, (~horizontal_1_4|~vertical_1_5)). % 0.13/0.33 cnf(i_0_172, negated_conjecture, (~vertical_1_4|~horizontal_2_3)). % 0.13/0.33 cnf(i_0_169, negated_conjecture, (~vertical_1_4|~horizontal_2_4)). % 0.13/0.33 cnf(i_0_171, negated_conjecture, (~vertical_1_4|~vertical_2_4)). % 0.13/0.33 cnf(i_0_175, negated_conjecture, (~vertical_1_5|~horizontal_2_4)). % 0.13/0.33 cnf(i_0_174, negated_conjecture, (~vertical_1_5|~vertical_2_5)). % 0.13/0.33 cnf(i_0_152, negated_conjecture, (~horizontal_2_1|~vertical_2_1)). % 0.13/0.33 cnf(i_0_156, negated_conjecture, (~horizontal_2_1|~horizontal_2_2)). % 0.13/0.33 cnf(i_0_158, negated_conjecture, (~horizontal_2_1|~vertical_2_2)). % 0.13/0.33 cnf(i_0_177, negated_conjecture, (~vertical_2_1|~horizontal_3_1)). % 0.13/0.33 cnf(i_0_178, negated_conjecture, (~vertical_2_1|~vertical_3_1)). % 0.13/0.33 cnf(i_0_155, negated_conjecture, (~horizontal_2_2|~vertical_2_2)). % 0.13/0.33 cnf(i_0_162, negated_conjecture, (~horizontal_2_2|~horizontal_2_3)). % 0.13/0.33 cnf(i_0_164, negated_conjecture, (~horizontal_2_2|~vertical_2_3)). % 0.13/0.33 cnf(i_0_184, negated_conjecture, (~vertical_2_2|~horizontal_3_1)). % 0.13/0.33 cnf(i_0_181, negated_conjecture, (~vertical_2_2|~horizontal_3_2)). % 0.13/0.33 cnf(i_0_183, negated_conjecture, (~vertical_2_2|~vertical_3_2)). % 0.13/0.33 cnf(i_0_161, negated_conjecture, (~horizontal_2_3|~vertical_2_3)). % 0.13/0.33 cnf(i_0_168, negated_conjecture, (~horizontal_2_3|~horizontal_2_4)). % 0.13/0.33 cnf(i_0_170, negated_conjecture, (~horizontal_2_3|~vertical_2_4)). % 0.13/0.33 cnf(i_0_190, negated_conjecture, (~vertical_2_3|~horizontal_3_2)). % 0.13/0.33 cnf(i_0_187, negated_conjecture, (~vertical_2_3|~horizontal_3_3)). % 0.13/0.33 cnf(i_0_189, negated_conjecture, (~vertical_2_3|~vertical_3_3)). % 0.13/0.33 cnf(i_0_167, negated_conjecture, (~horizontal_2_4|~vertical_2_4)). % 0.13/0.33 cnf(i_0_173, negated_conjecture, (~horizontal_2_4|~vertical_2_5)). % 0.13/0.33 cnf(i_0_196, negated_conjecture, (~vertical_2_4|~horizontal_3_3)). % 0.13/0.33 cnf(i_0_193, negated_conjecture, (~vertical_2_4|~horizontal_3_4)). % 0.13/0.33 cnf(i_0_195, negated_conjecture, (~vertical_2_4|~vertical_3_4)). % 0.13/0.33 cnf(i_0_199, negated_conjecture, (~vertical_2_5|~horizontal_3_4)). % 0.13/0.33 cnf(i_0_198, negated_conjecture, (~vertical_2_5|~vertical_3_5)). % 0.13/0.33 cnf(i_0_176, negated_conjecture, (~horizontal_3_1|~vertical_3_1)). % 0.13/0.33 cnf(i_0_180, negated_conjecture, (~horizontal_3_1|~horizontal_3_2)). % 0.13/0.33 cnf(i_0_182, negated_conjecture, (~horizontal_3_1|~vertical_3_2)). % 0.13/0.33 cnf(i_0_201, negated_conjecture, (~vertical_3_1|~horizontal_4_1)). % 0.13/0.33 cnf(i_0_202, negated_conjecture, (~vertical_3_1|~vertical_4_1)). % 0.13/0.33 cnf(i_0_179, negated_conjecture, (~horizontal_3_2|~vertical_3_2)). % 0.13/0.33 cnf(i_0_186, negated_conjecture, (~horizontal_3_2|~horizontal_3_3)). % 0.13/0.33 cnf(i_0_188, negated_conjecture, (~horizontal_3_2|~vertical_3_3)). % 0.13/0.33 cnf(i_0_208, negated_conjecture, (~vertical_3_2|~horizontal_4_1)). % 0.13/0.33 cnf(i_0_205, negated_conjecture, (~vertical_3_2|~horizontal_4_2)). % 0.13/0.33 cnf(i_0_207, negated_conjecture, (~vertical_3_2|~vertical_4_2)). % 0.13/0.33 cnf(i_0_185, negated_conjecture, (~horizontal_3_3|~vertical_3_3)). % 0.13/0.33 cnf(i_0_192, negated_conjecture, (~horizontal_3_3|~horizontal_3_4)). % 0.13/0.33 cnf(i_0_194, negated_conjecture, (~horizontal_3_3|~vertical_3_4)). % 0.13/0.33 cnf(i_0_214, negated_conjecture, (~vertical_3_3|~horizontal_4_2)). % 0.13/0.33 cnf(i_0_211, negated_conjecture, (~vertical_3_3|~horizontal_4_3)). % 0.13/0.33 cnf(i_0_213, negated_conjecture, (~vertical_3_3|~vertical_4_3)). % 0.13/0.33 cnf(i_0_191, negated_conjecture, (~horizontal_3_4|~vertical_3_4)). % 0.13/0.33 cnf(i_0_197, negated_conjecture, (~horizontal_3_4|~vertical_3_5)). % 0.13/0.33 cnf(i_0_220, negated_conjecture, (~vertical_3_4|~horizontal_4_3)). % 0.13/0.33 cnf(i_0_217, negated_conjecture, (~vertical_3_4|~horizontal_4_4)). % 0.13/0.33 cnf(i_0_219, negated_conjecture, (~vertical_3_4|~vertical_4_4)). % 0.13/0.33 cnf(i_0_223, negated_conjecture, (~vertical_3_5|~horizontal_4_4)). % 0.13/0.33 cnf(i_0_222, negated_conjecture, (~vertical_3_5|~vertical_4_5)). % 0.13/0.33 cnf(i_0_200, negated_conjecture, (~horizontal_4_1|~vertical_4_1)). % 0.13/0.33 cnf(i_0_204, negated_conjecture, (~horizontal_4_1|~horizontal_4_2)). % 0.13/0.33 cnf(i_0_206, negated_conjecture, (~horizontal_4_1|~vertical_4_2)). % 0.13/0.33 cnf(i_0_224, negated_conjecture, (~vertical_4_1|~horizontal_5_1)). % 0.13/0.33 cnf(i_0_203, negated_conjecture, (~horizontal_4_2|~vertical_4_2)). % 0.13/0.33 cnf(i_0_210, negated_conjecture, (~horizontal_4_2|~horizontal_4_3)). % 0.13/0.33 cnf(i_0_212, negated_conjecture, (~horizontal_4_2|~vertical_4_3)). % 0.13/0.33 cnf(i_0_227, negated_conjecture, (~vertical_4_2|~horizontal_5_1)). % 0.13/0.33 cnf(i_0_226, negated_conjecture, (~vertical_4_2|~horizontal_5_2)). % 0.13/0.33 cnf(i_0_209, negated_conjecture, (~horizontal_4_3|~vertical_4_3)). % 0.13/0.33 cnf(i_0_216, negated_conjecture, (~horizontal_4_3|~horizontal_4_4)). % 0.13/0.33 cnf(i_0_218, negated_conjecture, (~horizontal_4_3|~vertical_4_4)). % 0.13/0.33 cnf(i_0_230, negated_conjecture, (~vertical_4_3|~horizontal_5_2)). % 0.13/0.33 cnf(i_0_229, negated_conjecture, (~vertical_4_3|~horizontal_5_3)). % 0.13/0.33 cnf(i_0_215, negated_conjecture, (~horizontal_4_4|~vertical_4_4)). % 0.13/0.33 cnf(i_0_221, negated_conjecture, (~horizontal_4_4|~vertical_4_5)). % 0.13/0.33 cnf(i_0_233, negated_conjecture, (~vertical_4_4|~horizontal_5_3)). % 0.13/0.33 cnf(i_0_232, negated_conjecture, (~vertical_4_4|~horizontal_5_4)). % 0.13/0.33 cnf(i_0_234, negated_conjecture, (~vertical_4_5|~horizontal_5_4)). % 0.13/0.33 cnf(i_0_225, negated_conjecture, (~horizontal_5_1|~horizontal_5_2)). % 0.13/0.33 cnf(i_0_228, negated_conjecture, (~horizontal_5_2|~horizontal_5_3)). % 0.13/0.33 cnf(i_0_231, negated_conjecture, (~horizontal_5_3|~horizontal_5_4)). % 0.13/0.33 cnf(i_0_128, negated_conjecture, (vertical_1_2|horizontal_2_1|horizontal_2_2|vertical_2_2)). % 0.13/0.33 cnf(i_0_129, negated_conjecture, (vertical_1_3|horizontal_2_2|horizontal_2_3|vertical_2_3)). % 0.13/0.33 cnf(i_0_130, negated_conjecture, (vertical_1_4|horizontal_2_3|horizontal_2_4|vertical_2_4)). % 0.13/0.33 cnf(i_0_133, negated_conjecture, (vertical_2_2|horizontal_3_1|horizontal_3_2|vertical_3_2)). % 0.13/0.33 cnf(i_0_134, negated_conjecture, (vertical_2_3|horizontal_3_2|horizontal_3_3|vertical_3_3)). % 0.13/0.33 cnf(i_0_135, negated_conjecture, (vertical_2_4|horizontal_3_3|horizontal_3_4|vertical_3_4)). % 0.13/0.33 cnf(i_0_138, negated_conjecture, (vertical_3_2|horizontal_4_1|horizontal_4_2|vertical_4_2)). % 0.13/0.33 cnf(i_0_139, negated_conjecture, (vertical_3_3|horizontal_4_2|horizontal_4_3|vertical_4_3)). % 0.13/0.33 cnf(i_0_140, negated_conjecture, (vertical_3_4|horizontal_4_3|horizontal_4_4|vertical_4_4)). % 0.13/0.33 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.13/0.33 # Begin printing tableau % 0.13/0.33 # Found 9 steps % 0.13/0.33 cnf(i_0_133, negated_conjecture, (vertical_2_2|horizontal_3_1|horizontal_3_2|vertical_3_2), inference(start_rule)). % 0.13/0.33 cnf(i_0_255, plain, (vertical_2_2), inference(extension_rule, [i_0_155])). % 0.13/0.33 cnf(i_0_655, plain, (~horizontal_2_2), inference(extension_rule, [i_0_129])). % 0.13/0.33 cnf(i_0_685, plain, (vertical_1_3), inference(closure_rule, [i_0_121])). % 0.13/0.33 cnf(i_0_256, plain, (horizontal_3_1), inference(etableau_closure_rule, [i_0_256, ...])). % 0.13/0.33 cnf(i_0_257, plain, (horizontal_3_2), inference(etableau_closure_rule, [i_0_257, ...])). % 0.13/0.33 cnf(i_0_258, plain, (vertical_3_2), inference(etableau_closure_rule, [i_0_258, ...])). % 0.13/0.33 cnf(i_0_687, plain, (horizontal_2_3), inference(etableau_closure_rule, [i_0_687, ...])). % 0.13/0.33 cnf(i_0_688, plain, (vertical_2_3), inference(etableau_closure_rule, [i_0_688, ...])). % 0.13/0.33 # End printing tableau % 0.13/0.33 # SZS output end % 0.13/0.33 # Branches closed with saturation will be marked with an "s" % 0.13/0.34 # There were 6 total branch saturation attempts. % 0.13/0.34 # There were 0 of these attempts blocked. % 0.13/0.34 # There were 0 deferred branch saturation attempts. % 0.13/0.34 # There were 0 free duplicated saturations. % 0.13/0.34 # There were 6 total successful branch saturations. % 0.13/0.34 # There were 4 successful branch saturations in interreduction. % 0.13/0.34 # There were 0 successful branch saturations on the branch. % 0.13/0.34 # There were 2 successful branch saturations after the branch. % 0.13/0.34 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.13/0.34 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.13/0.34 # Begin clausification derivation % 0.13/0.34 % 0.13/0.34 # End clausification derivation % 0.13/0.34 # Begin listing active clauses obtained from FOF to CNF conversion % 0.13/0.34 cnf(i_0_118, negated_conjecture, (~horizontal_1_2)). % 0.13/0.34 cnf(i_0_123, negated_conjecture, (~horizontal_1_2)). % 0.13/0.34 cnf(i_0_119, negated_conjecture, (~horizontal_1_3)). % 0.13/0.34 cnf(i_0_120, negated_conjecture, (~vertical_1_2)). % 0.13/0.34 cnf(i_0_121, negated_conjecture, (~vertical_1_3)). % 0.13/0.34 cnf(i_0_122, negated_conjecture, (~horizontal_1_1)). % 0.13/0.34 cnf(i_0_124, negated_conjecture, (horizontal_1_1|vertical_1_1)). % 0.13/0.34 cnf(i_0_126, negated_conjecture, (horizontal_1_4|vertical_1_5)). % 0.13/0.34 cnf(i_0_142, negated_conjecture, (vertical_4_1|horizontal_5_1)). % 0.13/0.34 cnf(i_0_146, negated_conjecture, (vertical_4_5|horizontal_5_4)). % 0.13/0.34 cnf(i_0_125, negated_conjecture, (horizontal_1_3|horizontal_1_4|vertical_1_4)). % 0.13/0.34 cnf(i_0_127, negated_conjecture, (vertical_1_1|horizontal_2_1|vertical_2_1)). % 0.13/0.34 cnf(i_0_131, negated_conjecture, (vertical_1_5|horizontal_2_4|vertical_2_5)). % 0.13/0.34 cnf(i_0_132, negated_conjecture, (vertical_2_1|horizontal_3_1|vertical_3_1)). % 0.13/0.34 cnf(i_0_136, negated_conjecture, (vertical_2_5|horizontal_3_4|vertical_3_5)). % 0.13/0.34 cnf(i_0_137, negated_conjecture, (vertical_3_1|horizontal_4_1|vertical_4_1)). % 0.13/0.34 cnf(i_0_141, negated_conjecture, (vertical_3_5|horizontal_4_4|vertical_4_5)). % 0.13/0.34 cnf(i_0_143, negated_conjecture, (vertical_4_2|horizontal_5_1|horizontal_5_2)). % 0.13/0.34 cnf(i_0_144, negated_conjecture, (vertical_4_3|horizontal_5_2|horizontal_5_3)). % 0.13/0.34 cnf(i_0_145, negated_conjecture, (vertical_4_4|horizontal_5_3|horizontal_5_4)). % 0.13/0.34 cnf(i_0_149, negated_conjecture, (~horizontal_1_3|~horizontal_1_4)). % 0.13/0.34 cnf(i_0_150, negated_conjecture, (~horizontal_1_3|~vertical_1_4)). % 0.13/0.34 cnf(i_0_160, negated_conjecture, (~vertical_1_2|~horizontal_2_1)). % 0.13/0.34 cnf(i_0_157, negated_conjecture, (~vertical_1_2|~horizontal_2_2)). % 0.13/0.34 cnf(i_0_159, negated_conjecture, (~vertical_1_2|~vertical_2_2)). % 0.13/0.34 cnf(i_0_166, negated_conjecture, (~vertical_1_3|~horizontal_2_2)). % 0.13/0.34 cnf(i_0_163, negated_conjecture, (~vertical_1_3|~horizontal_2_3)). % 0.13/0.34 cnf(i_0_165, negated_conjecture, (~vertical_1_3|~vertical_2_3)). % 0.13/0.34 cnf(i_0_147, negated_conjecture, (~horizontal_1_1|~vertical_1_1)). % 0.13/0.34 cnf(i_0_153, negated_conjecture, (~vertical_1_1|~horizontal_2_1)). % 0.13/0.34 cnf(i_0_154, negated_conjecture, (~vertical_1_1|~vertical_2_1)). % 0.13/0.34 cnf(i_0_148, negated_conjecture, (~horizontal_1_4|~vertical_1_4)). % 0.13/0.34 cnf(i_0_151, negated_conjecture, (~horizontal_1_4|~vertical_1_5)). % 0.13/0.34 cnf(i_0_172, negated_conjecture, (~vertical_1_4|~horizontal_2_3)). % 0.13/0.34 cnf(i_0_169, negated_conjecture, (~vertical_1_4|~horizontal_2_4)). % 0.13/0.34 cnf(i_0_171, negated_conjecture, (~vertical_1_4|~vertical_2_4)). % 0.13/0.34 cnf(i_0_175, negated_conjecture, (~vertical_1_5|~horizontal_2_4)). % 0.13/0.34 cnf(i_0_174, negated_conjecture, (~vertical_1_5|~vertical_2_5)). % 0.13/0.34 cnf(i_0_152, negated_conjecture, (~horizontal_2_1|~vertical_2_1)). % 0.13/0.34 cnf(i_0_156, negated_conjecture, (~horizontal_2_1|~horizontal_2_2)). % 0.13/0.34 cnf(i_0_158, negated_conjecture, (~horizontal_2_1|~vertical_2_2)). % 0.13/0.34 cnf(i_0_177, negated_conjecture, (~vertical_2_1|~horizontal_3_1)). % 0.13/0.34 cnf(i_0_178, negated_conjecture, (~vertical_2_1|~vertical_3_1)). % 0.13/0.34 cnf(i_0_155, negated_conjecture, (~horizontal_2_2|~vertical_2_2)). % 0.13/0.34 cnf(i_0_162, negated_conjecture, (~horizontal_2_2|~horizontal_2_3)). % 0.13/0.34 cnf(i_0_164, negated_conjecture, (~horizontal_2_2|~vertical_2_3)). % 0.13/0.34 cnf(i_0_184, negated_conjecture, (~vertical_2_2|~horizontal_3_1)). % 0.13/0.34 cnf(i_0_181, negated_conjecture, (~vertical_2_2|~horizontal_3_2)). % 0.13/0.34 cnf(i_0_183, negated_conjecture, (~vertical_2_2|~vertical_3_2)). % 0.13/0.34 cnf(i_0_161, negated_conjecture, (~horizontal_2_3|~vertical_2_3)). % 0.13/0.34 cnf(i_0_168, negated_conjecture, (~horizontal_2_3|~horizontal_2_4)). % 0.13/0.34 cnf(i_0_170, negated_conjecture, (~horizontal_2_3|~vertical_2_4)). % 0.13/0.34 cnf(i_0_190, negated_conjecture, (~vertical_2_3|~horizontal_3_2)). % 0.13/0.34 cnf(i_0_187, negated_conjecture, (~vertical_2_3|~horizontal_3_3)). % 0.13/0.34 cnf(i_0_189, negated_conjecture, (~vertical_2_3|~vertical_3_3)). % 0.13/0.34 cnf(i_0_167, negated_conjecture, (~horizontal_2_4|~vertical_2_4)). % 0.13/0.34 cnf(i_0_173, negated_conjecture, (~horizontal_2_4|~vertical_2_5)). % 0.13/0.34 cnf(i_0_196, negated_conjecture, (~vertical_2_4|~horizontal_3_3)). % 0.13/0.34 cnf(i_0_193, negated_conjecture, (~vertical_2_4|~horizontal_3_4)). % 0.13/0.34 cnf(i_0_195, negated_conjecture, (~vertical_2_4|~vertical_3_4)). % 0.13/0.34 cnf(i_0_199, negated_conjecture, (~vertical_2_5|~horizontal_3_4)). % 0.13/0.34 cnf(i_0_198, negated_conjecture, (~vertical_2_5|~vertical_3_5)). % 0.13/0.34 cnf(i_0_176, negated_conjecture, (~horizontal_3_1|~vertical_3_1)). % 0.13/0.34 cnf(i_0_180, negated_conjecture, (~horizontal_3_1|~horizontal_3_2)). % 0.13/0.34 cnf(i_0_182, negated_conjecture, (~horizontal_3_1|~vertical_3_2)). % 0.13/0.34 cnf(i_0_201, negated_conjecture, (~vertical_3_1|~horizontal_4_1)). % 0.13/0.34 cnf(i_0_202, negated_conjecture, (~vertical_3_1|~vertical_4_1)). % 0.13/0.34 cnf(i_0_179, negated_conjecture, (~horizontal_3_2|~vertical_3_2)). % 0.13/0.34 cnf(i_0_186, negated_conjecture, (~horizontal_3_2|~horizontal_3_3)). % 0.13/0.34 cnf(i_0_188, negated_conjecture, (~horizontal_3_2|~vertical_3_3)). % 0.13/0.34 cnf(i_0_208, negated_conjecture, (~vertical_3_2|~horizontal_4_1)). % 0.13/0.34 cnf(i_0_205, negated_conjecture, (~vertical_3_2|~horizontal_4_2)). % 0.13/0.34 cnf(i_0_207, negated_conjecture, (~vertical_3_2|~vertical_4_2)). % 0.13/0.34 cnf(i_0_185, negated_conjecture, (~horizontal_3_3|~vertical_3_3)). % 0.13/0.34 cnf(i_0_192, negated_conjecture, (~horizontal_3_3|~horizontal_3_4)). % 0.13/0.34 cnf(i_0_194, negated_conjecture, (~horizontal_3_3|~vertical_3_4)). % 0.13/0.34 cnf(i_0_214, negated_conjecture, (~vertical_3_3|~horizontal_4_2)). % 0.13/0.34 cnf(i_0_211, negated_conjecture, (~vertical_3_3|~horizontal_4_3)). % 0.13/0.34 cnf(i_0_213, negated_conjecture, (~vertical_3_3|~vertical_4_3)). % 0.13/0.34 cnf(i_0_191, negated_conjecture, (~horizontal_3_4|~vertical_3_4)). % 0.13/0.34 cnf(i_0_197, negated_conjecture, (~horizontal_3_4|~vertical_3_5)). % 0.13/0.34 cnf(i_0_220, negated_conjecture, (~vertical_3_4|~horizontal_4_3)). % 0.13/0.34 cnf(i_0_217, negated_conjecture, (~vertical_3_4|~horizontal_4_4)). % 0.13/0.34 cnf(i_0_219, negated_conjecture, (~vertical_3_4|~vertical_4_4)). % 0.13/0.34 cnf(i_0_223, negated_conjecture, (~vertical_3_5|~horizontal_4_4)). % 0.13/0.34 cnf(i_0_222, negated_conjecture, (~vertical_3_5|~vertical_4_5)). % 0.13/0.34 cnf(i_0_200, negated_conjecture, (~horizontal_4_1|~vertical_4_1)). % 0.13/0.34 cnf(i_0_204, negated_conjecture, (~horizontal_4_1|~horizontal_4_2)). % 0.13/0.34 cnf(i_0_206, negated_conjecture, (~horizontal_4_1|~vertical_4_2)). % 0.13/0.34 cnf(i_0_224, negated_conjecture, (~vertical_4_1|~horizontal_5_1)). % 0.13/0.34 cnf(i_0_203, negated_conjecture, (~horizontal_4_2|~vertical_4_2)). % 0.13/0.34 cnf(i_0_210, negated_conjecture, (~horizontal_4_2|~horizontal_4_3)). % 0.13/0.34 cnf(i_0_212, negated_conjecture, (~horizontal_4_2|~vertical_4_3)). % 0.13/0.34 cnf(i_0_227, negated_conjecture, (~vertical_4_2|~horizontal_5_1)). % 0.13/0.34 cnf(i_0_226, negated_conjecture, (~vertical_4_2|~horizontal_5_2)). % 0.13/0.34 cnf(i_0_209, negated_conjecture, (~horizontal_4_3|~vertical_4_3)). % 0.13/0.34 cnf(i_0_216, negated_conjecture, (~horizontal_4_3|~horizontal_4_4)). % 0.13/0.34 cnf(i_0_218, negated_conjecture, (~horizontal_4_3|~vertical_4_4)). % 0.13/0.34 cnf(i_0_230, negated_conjecture, (~vertical_4_3|~horizontal_5_2)). % 0.13/0.34 cnf(i_0_229, negated_conjecture, (~vertical_4_3|~horizontal_5_3)). % 0.13/0.34 cnf(i_0_215, negated_conjecture, (~horizontal_4_4|~vertical_4_4)). % 0.13/0.34 cnf(i_0_221, negated_conjecture, (~horizontal_4_4|~vertical_4_5)). % 0.13/0.34 cnf(i_0_233, negated_conjecture, (~vertical_4_4|~horizontal_5_3)). % 0.13/0.34 cnf(i_0_232, negated_conjecture, (~vertical_4_4|~horizontal_5_4)). % 0.13/0.34 cnf(i_0_234, negated_conjecture, (~vertical_4_5|~horizontal_5_4)). % 0.13/0.34 cnf(i_0_225, negated_conjecture, (~horizontal_5_1|~horizontal_5_2)). % 0.13/0.34 cnf(i_0_228, negated_conjecture, (~horizontal_5_2|~horizontal_5_3)). % 0.13/0.34 cnf(i_0_231, negated_conjecture, (~horizontal_5_3|~horizontal_5_4)). % 0.13/0.34 cnf(i_0_128, negated_conjecture, (vertical_1_2|horizontal_2_1|horizontal_2_2|vertical_2_2)). % 0.13/0.34 cnf(i_0_129, negated_conjecture, (vertical_1_3|horizontal_2_2|horizontal_2_3|vertical_2_3)). % 0.13/0.34 cnf(i_0_130, negated_conjecture, (vertical_1_4|horizontal_2_3|horizontal_2_4|vertical_2_4)). % 0.13/0.34 cnf(i_0_133, negated_conjecture, (vertical_2_2|horizontal_3_1|horizontal_3_2|vertical_3_2)). % 0.13/0.34 cnf(i_0_134, negated_conjecture, (vertical_2_3|horizontal_3_2|horizontal_3_3|vertical_3_3)). % 0.13/0.34 cnf(i_0_135, negated_conjecture, (vertical_2_4|horizontal_3_3|horizontal_3_4|vertical_3_4)). % 0.13/0.34 cnf(i_0_138, negated_conjecture, (vertical_3_2|horizontal_4_1|horizontal_4_2|vertical_4_2)). % 0.13/0.34 cnf(i_0_139, negated_conjecture, (vertical_3_3|horizontal_4_2|horizontal_4_3|vertical_4_3)). % 0.13/0.34 cnf(i_0_140, negated_conjecture, (vertical_3_4|horizontal_4_3|horizontal_4_4|vertical_4_4)). % 0.13/0.34 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.13/0.34 # Begin printing tableau % 0.13/0.34 # Found 9 steps % 0.13/0.34 cnf(i_0_134, negated_conjecture, (vertical_2_3|horizontal_3_2|horizontal_3_3|vertical_3_3), inference(start_rule)). % 0.13/0.34 cnf(i_0_251, plain, (vertical_2_3), inference(extension_rule, [i_0_161])). % 0.13/0.34 cnf(i_0_643, plain, (~horizontal_2_3), inference(extension_rule, [i_0_130])). % 0.13/0.34 cnf(i_0_252, plain, (horizontal_3_2), inference(etableau_closure_rule, [i_0_252, ...])). % 0.13/0.34 cnf(i_0_253, plain, (horizontal_3_3), inference(etableau_closure_rule, [i_0_253, ...])). % 0.13/0.34 cnf(i_0_254, plain, (vertical_3_3), inference(etableau_closure_rule, [i_0_254, ...])). % 0.13/0.34 cnf(i_0_669, plain, (vertical_1_4), inference(etableau_closure_rule, [i_0_669, ...])). % 0.13/0.34 cnf(i_0_671, plain, (horizontal_2_4), inference(etableau_closure_rule, [i_0_671, ...])). % 0.13/0.34 cnf(i_0_672, plain, (vertical_2_4), inference(etableau_closure_rule, [i_0_672, ...])). % 0.13/0.34 # End printing tableau % 0.13/0.34 # SZS output end % 0.13/0.34 # Branches closed with saturation will be marked with an "s" % 0.13/0.34 # Child (15978) has found a proof. % 0.13/0.34 % 0.13/0.34 # Proof search is over... % 0.13/0.34 # Freeing feature tree %------------------------------------------------------------------------------