TSTP Solution File: PUZ016-2.005 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% 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
%------------------------------------------------------------------------------