TSTP Solution File: PUZ030-2 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : PUZ030-2 : 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 : n027.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 18:11:00 EDT 2022

% Result   : Unsatisfiable 0.13s 0.38s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : PUZ030-2 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.33  % Computer : n027.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun May 29 01:23:59 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.36  # No SInE strategy applied
% 0.13/0.36  # Auto-Mode selected heuristic H_____011_C07_F1_PI_AE_OS_S1U
% 0.13/0.36  # and selection function SelectComplexAHPExceptRRHorn.
% 0.13/0.36  #
% 0.13/0.36  # Number of axioms: 63 Number of unprocessed: 63
% 0.13/0.36  # Tableaux proof search.
% 0.13/0.36  # APR header successfully linked.
% 0.13/0.36  # Hello from C++
% 0.13/0.36  # The folding up rule is enabled...
% 0.13/0.36  # Local unification is enabled...
% 0.13/0.36  # Any saturation attempts will use folding labels...
% 0.13/0.36  # 63 beginning clauses after preprocessing and clausification
% 0.13/0.36  # Creating start rules for all 1 conjectures.
% 0.13/0.36  # There are 1 start rule candidates:
% 0.13/0.36  # Found 0 unit axioms.
% 0.13/0.36  # 1 start rule tableaux created.
% 0.13/0.36  # 63 extension rule candidate clauses
% 0.13/0.36  # 0 unit axiom clauses
% 0.13/0.36  
% 0.13/0.36  # Requested 8, 32 cores available to the main process.
% 0.13/0.36  # There are not enough tableaux to fork, creating more from the initial 1
% 0.13/0.36  # Ran out of tableaux, making start rules for all clauses
% 0.13/0.36  # Returning from population with 67 new_tableaux and 0 remaining starting tableaux.
% 0.13/0.36  # We now have 67 tableaux to operate on
% 0.13/0.38  # There were 5 total branch saturation attempts.
% 0.13/0.38  # There were 0 of these attempts blocked.
% 0.13/0.38  # There were 0 deferred branch saturation attempts.
% 0.13/0.38  # There were 0 free duplicated saturations.
% 0.13/0.38  # There were 5 total successful branch saturations.
% 0.13/0.38  # There were 1 successful branch saturations in interreduction.
% 0.13/0.38  # There were 0 successful branch saturations on the branch.
% 0.13/0.38  # There were 4 successful branch saturations after the branch.
% 0.13/0.38  # There were 5 total branch saturation attempts.
% 0.13/0.38  # There were 0 of these attempts blocked.
% 0.13/0.38  # There were 0 deferred branch saturation attempts.
% 0.13/0.38  # There were 0 free duplicated saturations.
% 0.13/0.38  # There were 5 total successful branch saturations.
% 0.13/0.38  # There were 2 successful branch saturations in interreduction.
% 0.13/0.38  # There were 0 successful branch saturations on the branch.
% 0.13/0.38  # There were 3 successful branch saturations after the branch.
% 0.13/0.38  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38  # Begin clausification derivation
% 0.13/0.38  
% 0.13/0.38  # End clausification derivation
% 0.13/0.38  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.38  cnf(i_0_119, hypothesis, (salt_mill|mustard_lang|mustard_mill)).
% 0.13/0.38  cnf(i_0_124, hypothesis, (salt_mill|mustard_mill|salt_cole)).
% 0.13/0.38  cnf(i_0_121, hypothesis, (salt_mill|mustard_mill|mustard_dix)).
% 0.13/0.38  cnf(i_0_123, hypothesis, (mustard_barry|salt_barry|salt_dix)).
% 0.13/0.38  cnf(i_0_125, hypothesis, (mustard_barry|mustard_dix|salt_dix)).
% 0.13/0.38  cnf(i_0_122, hypothesis, (mustard_lang|salt_lang|mustard_dix)).
% 0.13/0.38  cnf(i_0_120, hypothesis, (mustard_lang|mustard_cole|salt_cole)).
% 0.13/0.38  cnf(i_0_64, hypothesis, (mustard_barry|mustard_lang|~salt_mill)).
% 0.13/0.38  cnf(i_0_65, hypothesis, (mustard_barry|salt_lang|~salt_mill)).
% 0.13/0.38  cnf(i_0_97, hypothesis, (mustard_barry|salt_lang|~salt_barry)).
% 0.13/0.38  cnf(i_0_102, hypothesis, (mustard_barry|salt_cole|~salt_barry)).
% 0.13/0.38  cnf(i_0_66, hypothesis, (mustard_lang|salt_barry|~salt_mill)).
% 0.13/0.38  cnf(i_0_105, hypothesis, (mustard_lang|salt_barry|~salt_lang)).
% 0.13/0.38  cnf(i_0_80, hypothesis, (mustard_lang|mustard_dix|~mustard_cole)).
% 0.13/0.38  cnf(i_0_82, hypothesis, (mustard_lang|salt_dix|~mustard_cole)).
% 0.13/0.38  cnf(i_0_67, hypothesis, (salt_lang|salt_barry|~salt_mill)).
% 0.13/0.38  cnf(i_0_96, hypothesis, (salt_lang|salt_barry|~mustard_barry)).
% 0.13/0.38  cnf(i_0_104, hypothesis, (salt_lang|salt_barry|~mustard_lang)).
% 0.13/0.38  cnf(i_0_81, hypothesis, (salt_lang|mustard_dix|~mustard_cole)).
% 0.13/0.38  cnf(i_0_95, hypothesis, (salt_lang|mustard_dix|~salt_dix)).
% 0.13/0.38  cnf(i_0_83, hypothesis, (salt_lang|salt_dix|~mustard_cole)).
% 0.13/0.38  cnf(i_0_94, hypothesis, (salt_lang|salt_dix|~mustard_dix)).
% 0.13/0.38  cnf(i_0_107, hypothesis, (salt_barry|mustard_cole|~salt_cole)).
% 0.13/0.38  cnf(i_0_101, hypothesis, (salt_barry|salt_cole|~mustard_barry)).
% 0.13/0.38  cnf(i_0_106, hypothesis, (salt_barry|salt_cole|~mustard_cole)).
% 0.13/0.38  cnf(i_0_91, hypothesis, (mustard_cole|mustard_mill|~salt_cole)).
% 0.13/0.38  cnf(i_0_90, hypothesis, (mustard_mill|salt_cole|~mustard_cole)).
% 0.13/0.38  cnf(i_0_89, hypothesis, (mustard_mill|mustard_dix|~salt_dix)).
% 0.13/0.38  cnf(i_0_88, hypothesis, (mustard_mill|salt_dix|~mustard_dix)).
% 0.13/0.38  cnf(i_0_93, hypothesis, (salt_mill|~mustard_barry|~salt_barry)).
% 0.13/0.38  cnf(i_0_85, hypothesis, (salt_mill|~mustard_barry|~mustard_dix)).
% 0.13/0.38  cnf(i_0_87, hypothesis, (salt_mill|~mustard_barry|~salt_dix)).
% 0.13/0.38  cnf(i_0_92, hypothesis, (salt_mill|~mustard_lang|~salt_lang)).
% 0.13/0.38  cnf(i_0_103, hypothesis, (mustard_barry|~salt_mill|~mustard_mill)).
% 0.13/0.38  cnf(i_0_76, hypothesis, (mustard_cole|~mustard_barry|~salt_dix)).
% 0.13/0.38  cnf(i_0_99, hypothesis, (mustard_cole|~mustard_lang|~salt_lang)).
% 0.13/0.38  cnf(i_0_78, hypothesis, (mustard_cole|~salt_barry|~salt_dix)).
% 0.13/0.38  cnf(i_0_100, hypothesis, (mustard_cole|~mustard_dix|~salt_dix)).
% 0.13/0.38  cnf(i_0_84, hypothesis, (mustard_mill|~mustard_barry|~mustard_dix)).
% 0.13/0.38  cnf(i_0_86, hypothesis, (mustard_mill|~mustard_barry|~salt_dix)).
% 0.13/0.38  cnf(i_0_77, hypothesis, (salt_cole|~mustard_barry|~salt_dix)).
% 0.13/0.38  cnf(i_0_79, hypothesis, (salt_cole|~salt_barry|~salt_dix)).
% 0.13/0.38  cnf(i_0_98, hypothesis, (salt_dix|~mustard_cole|~salt_cole)).
% 0.13/0.38  cnf(i_0_69, hypothesis, (~salt_mill|~mustard_lang|~mustard_cole)).
% 0.13/0.38  cnf(i_0_71, hypothesis, (~salt_mill|~mustard_lang|~salt_cole)).
% 0.13/0.38  cnf(i_0_73, hypothesis, (~salt_mill|~mustard_lang|~mustard_dix)).
% 0.13/0.38  cnf(i_0_75, hypothesis, (~salt_mill|~salt_lang|~mustard_dix)).
% 0.13/0.38  cnf(i_0_68, hypothesis, (~mustard_lang|~mustard_cole|~mustard_mill)).
% 0.13/0.38  cnf(i_0_70, hypothesis, (~mustard_lang|~mustard_mill|~salt_cole)).
% 0.13/0.38  cnf(i_0_72, hypothesis, (~mustard_lang|~mustard_mill|~mustard_dix)).
% 0.13/0.38  cnf(i_0_74, hypothesis, (~salt_lang|~mustard_mill|~mustard_dix)).
% 0.13/0.38  cnf(i_0_111, hypothesis, (mustard_barry|salt_barry|~salt_mill|~salt_cole)).
% 0.13/0.38  cnf(i_0_110, hypothesis, (mustard_barry|salt_barry|~mustard_mill|~salt_cole)).
% 0.13/0.38  cnf(i_0_113, hypothesis, (mustard_cole|salt_cole|mustard_dix|salt_dix|~mustard_mill)).
% 0.13/0.38  cnf(i_0_109, hypothesis, (~salt_mill|~mustard_barry|~salt_barry|~salt_cole)).
% 0.13/0.38  cnf(i_0_108, hypothesis, (~mustard_barry|~salt_barry|~mustard_mill|~salt_cole)).
% 0.13/0.38  cnf(i_0_116, hypothesis, (mustard_barry|salt_barry|~salt_lang|~mustard_dix|~salt_dix)).
% 0.13/0.38  cnf(i_0_118, hypothesis, (mustard_lang|salt_lang|~salt_barry|~mustard_cole|~salt_cole)).
% 0.13/0.38  cnf(i_0_115, hypothesis, (mustard_dix|salt_dix|~mustard_barry|~salt_lang|~salt_barry)).
% 0.13/0.38  cnf(i_0_114, hypothesis, (~mustard_barry|~salt_lang|~salt_barry|~mustard_dix|~salt_dix)).
% 0.13/0.38  cnf(i_0_117, hypothesis, (~mustard_lang|~salt_lang|~salt_barry|~mustard_cole|~salt_cole)).
% 0.13/0.38  cnf(i_0_112, hypothesis, (~mustard_cole|~mustard_mill|~salt_cole|~mustard_dix|~salt_dix)).
% 0.13/0.38  cnf(i_0_126, negated_conjecture, (salt_lang|mustard_cole|mustard_mill|salt_cole|mustard_dix|salt_dix|~salt_mill|~mustard_barry|~mustard_lang|~salt_barry)).
% 0.13/0.38  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.13/0.38  # Begin printing tableau
% 0.13/0.38  # Found 8 steps
% 0.13/0.38  cnf(i_0_119, hypothesis, (salt_mill|mustard_lang|mustard_mill), inference(start_rule)).
% 0.13/0.38  cnf(i_0_2277, plain, (salt_mill), inference(extension_rule, [i_0_75])).
% 0.13/0.38  cnf(i_0_2630, plain, (~salt_lang), inference(extension_rule, [i_0_97])).
% 0.13/0.38  cnf(i_0_2278, plain, (mustard_lang), inference(etableau_closure_rule, [i_0_2278, ...])).
% 0.13/0.38  cnf(i_0_2279, plain, (mustard_mill), inference(etableau_closure_rule, [i_0_2279, ...])).
% 0.13/0.38  cnf(i_0_2631, plain, (~mustard_dix), inference(etableau_closure_rule, [i_0_2631, ...])).
% 0.13/0.38  cnf(i_0_2732, plain, (mustard_barry), inference(etableau_closure_rule, [i_0_2732, ...])).
% 0.13/0.38  cnf(i_0_2734, plain, (~salt_barry), inference(etableau_closure_rule, [i_0_2734, ...])).
% 0.13/0.38  # End printing tableau
% 0.13/0.38  # SZS output end
% 0.13/0.38  # Branches closed with saturation will be marked with an "s"
% 0.13/0.38  # There were 5 total branch saturation attempts.
% 0.13/0.38  # There were 0 of these attempts blocked.
% 0.13/0.38  # There were 0 deferred branch saturation attempts.
% 0.13/0.38  # There were 0 free duplicated saturations.
% 0.13/0.38  # There were 5 total successful branch saturations.
% 0.13/0.38  # There were 1 successful branch saturations in interreduction.
% 0.13/0.38  # There were 0 successful branch saturations on the branch.
% 0.13/0.38  # There were 4 successful branch saturations after the branch.
% 0.13/0.38  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38  # Begin clausification derivation
% 0.13/0.38  
% 0.13/0.38  # End clausification derivation
% 0.13/0.38  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.38  cnf(i_0_119, hypothesis, (salt_mill|mustard_lang|mustard_mill)).
% 0.13/0.38  cnf(i_0_124, hypothesis, (salt_mill|mustard_mill|salt_cole)).
% 0.13/0.38  cnf(i_0_121, hypothesis, (salt_mill|mustard_mill|mustard_dix)).
% 0.13/0.38  cnf(i_0_123, hypothesis, (mustard_barry|salt_barry|salt_dix)).
% 0.13/0.38  cnf(i_0_125, hypothesis, (mustard_barry|mustard_dix|salt_dix)).
% 0.13/0.38  cnf(i_0_122, hypothesis, (mustard_lang|salt_lang|mustard_dix)).
% 0.13/0.38  cnf(i_0_120, hypothesis, (mustard_lang|mustard_cole|salt_cole)).
% 0.13/0.38  cnf(i_0_64, hypothesis, (mustard_barry|mustard_lang|~salt_mill)).
% 0.13/0.38  cnf(i_0_65, hypothesis, (mustard_barry|salt_lang|~salt_mill)).
% 0.13/0.38  cnf(i_0_97, hypothesis, (mustard_barry|salt_lang|~salt_barry)).
% 0.13/0.38  cnf(i_0_102, hypothesis, (mustard_barry|salt_cole|~salt_barry)).
% 0.13/0.38  cnf(i_0_66, hypothesis, (mustard_lang|salt_barry|~salt_mill)).
% 0.13/0.38  cnf(i_0_105, hypothesis, (mustard_lang|salt_barry|~salt_lang)).
% 0.13/0.38  cnf(i_0_80, hypothesis, (mustard_lang|mustard_dix|~mustard_cole)).
% 0.13/0.38  cnf(i_0_82, hypothesis, (mustard_lang|salt_dix|~mustard_cole)).
% 0.13/0.38  cnf(i_0_67, hypothesis, (salt_lang|salt_barry|~salt_mill)).
% 0.13/0.38  cnf(i_0_96, hypothesis, (salt_lang|salt_barry|~mustard_barry)).
% 0.13/0.38  cnf(i_0_104, hypothesis, (salt_lang|salt_barry|~mustard_lang)).
% 0.13/0.38  cnf(i_0_81, hypothesis, (salt_lang|mustard_dix|~mustard_cole)).
% 0.13/0.38  cnf(i_0_95, hypothesis, (salt_lang|mustard_dix|~salt_dix)).
% 0.13/0.38  cnf(i_0_83, hypothesis, (salt_lang|salt_dix|~mustard_cole)).
% 0.13/0.38  cnf(i_0_94, hypothesis, (salt_lang|salt_dix|~mustard_dix)).
% 0.13/0.38  cnf(i_0_107, hypothesis, (salt_barry|mustard_cole|~salt_cole)).
% 0.13/0.38  cnf(i_0_101, hypothesis, (salt_barry|salt_cole|~mustard_barry)).
% 0.13/0.38  cnf(i_0_106, hypothesis, (salt_barry|salt_cole|~mustard_cole)).
% 0.13/0.38  cnf(i_0_91, hypothesis, (mustard_cole|mustard_mill|~salt_cole)).
% 0.13/0.38  cnf(i_0_90, hypothesis, (mustard_mill|salt_cole|~mustard_cole)).
% 0.13/0.38  cnf(i_0_89, hypothesis, (mustard_mill|mustard_dix|~salt_dix)).
% 0.13/0.38  cnf(i_0_88, hypothesis, (mustard_mill|salt_dix|~mustard_dix)).
% 0.13/0.38  cnf(i_0_93, hypothesis, (salt_mill|~mustard_barry|~salt_barry)).
% 0.13/0.38  cnf(i_0_85, hypothesis, (salt_mill|~mustard_barry|~mustard_dix)).
% 0.13/0.38  cnf(i_0_87, hypothesis, (salt_mill|~mustard_barry|~salt_dix)).
% 0.13/0.38  cnf(i_0_92, hypothesis, (salt_mill|~mustard_lang|~salt_lang)).
% 0.13/0.38  cnf(i_0_103, hypothesis, (mustard_barry|~salt_mill|~mustard_mill)).
% 0.13/0.38  cnf(i_0_76, hypothesis, (mustard_cole|~mustard_barry|~salt_dix)).
% 0.13/0.38  cnf(i_0_99, hypothesis, (mustard_cole|~mustard_lang|~salt_lang)).
% 0.13/0.38  cnf(i_0_78, hypothesis, (mustard_cole|~salt_barry|~salt_dix)).
% 0.13/0.38  cnf(i_0_100, hypothesis, (mustard_cole|~mustard_dix|~salt_dix)).
% 0.13/0.38  cnf(i_0_84, hypothesis, (mustard_mill|~mustard_barry|~mustard_dix)).
% 0.13/0.38  cnf(i_0_86, hypothesis, (mustard_mill|~mustard_barry|~salt_dix)).
% 0.13/0.38  cnf(i_0_77, hypothesis, (salt_cole|~mustard_barry|~salt_dix)).
% 0.13/0.38  cnf(i_0_79, hypothesis, (salt_cole|~salt_barry|~salt_dix)).
% 0.13/0.38  cnf(i_0_98, hypothesis, (salt_dix|~mustard_cole|~salt_cole)).
% 0.13/0.38  cnf(i_0_69, hypothesis, (~salt_mill|~mustard_lang|~mustard_cole)).
% 0.13/0.38  cnf(i_0_71, hypothesis, (~salt_mill|~mustard_lang|~salt_cole)).
% 0.13/0.38  cnf(i_0_73, hypothesis, (~salt_mill|~mustard_lang|~mustard_dix)).
% 0.13/0.38  cnf(i_0_75, hypothesis, (~salt_mill|~salt_lang|~mustard_dix)).
% 0.13/0.38  cnf(i_0_68, hypothesis, (~mustard_lang|~mustard_cole|~mustard_mill)).
% 0.13/0.38  cnf(i_0_70, hypothesis, (~mustard_lang|~mustard_mill|~salt_cole)).
% 0.13/0.38  cnf(i_0_72, hypothesis, (~mustard_lang|~mustard_mill|~mustard_dix)).
% 0.13/0.38  cnf(i_0_74, hypothesis, (~salt_lang|~mustard_mill|~mustard_dix)).
% 0.13/0.38  cnf(i_0_111, hypothesis, (mustard_barry|salt_barry|~salt_mill|~salt_cole)).
% 0.13/0.38  cnf(i_0_110, hypothesis, (mustard_barry|salt_barry|~mustard_mill|~salt_cole)).
% 0.13/0.38  cnf(i_0_113, hypothesis, (mustard_cole|salt_cole|mustard_dix|salt_dix|~mustard_mill)).
% 0.13/0.38  cnf(i_0_109, hypothesis, (~salt_mill|~mustard_barry|~salt_barry|~salt_cole)).
% 0.13/0.38  cnf(i_0_108, hypothesis, (~mustard_barry|~salt_barry|~mustard_mill|~salt_cole)).
% 0.13/0.38  cnf(i_0_116, hypothesis, (mustard_barry|salt_barry|~salt_lang|~mustard_dix|~salt_dix)).
% 0.13/0.38  cnf(i_0_118, hypothesis, (mustard_lang|salt_lang|~salt_barry|~mustard_cole|~salt_cole)).
% 0.13/0.38  cnf(i_0_115, hypothesis, (mustard_dix|salt_dix|~mustard_barry|~salt_lang|~salt_barry)).
% 0.13/0.38  cnf(i_0_114, hypothesis, (~mustard_barry|~salt_lang|~salt_barry|~mustard_dix|~salt_dix)).
% 0.13/0.38  cnf(i_0_117, hypothesis, (~mustard_lang|~salt_lang|~salt_barry|~mustard_cole|~salt_cole)).
% 0.13/0.38  cnf(i_0_112, hypothesis, (~mustard_cole|~mustard_mill|~salt_cole|~mustard_dix|~salt_dix)).
% 0.13/0.38  cnf(i_0_126, negated_conjecture, (salt_lang|mustard_cole|mustard_mill|salt_cole|mustard_dix|salt_dix|~salt_mill|~mustard_barry|~mustard_lang|~salt_barry)).
% 0.13/0.38  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.13/0.38  # Begin printing tableau
% 0.13/0.38  # Found 8 steps
% 0.13/0.38  cnf(i_0_119, hypothesis, (salt_mill|mustard_lang|mustard_mill), inference(start_rule)).
% 0.13/0.38  cnf(i_0_2277, plain, (salt_mill), inference(extension_rule, [i_0_65])).
% 0.13/0.38  cnf(i_0_2515, plain, (mustard_barry), inference(extension_rule, [i_0_101])).
% 0.13/0.38  cnf(i_0_2278, plain, (mustard_lang), inference(etableau_closure_rule, [i_0_2278, ...])).
% 0.13/0.38  cnf(i_0_2279, plain, (mustard_mill), inference(etableau_closure_rule, [i_0_2279, ...])).
% 0.13/0.38  cnf(i_0_2516, plain, (salt_lang), inference(etableau_closure_rule, [i_0_2516, ...])).
% 0.13/0.38  cnf(i_0_2774, plain, (salt_barry), inference(etableau_closure_rule, [i_0_2774, ...])).
% 0.13/0.38  cnf(i_0_2775, plain, (salt_cole), inference(etableau_closure_rule, [i_0_2775, ...])).
% 0.13/0.38  # End printing tableau
% 0.13/0.38  # SZS output end
% 0.13/0.38  # Branches closed with saturation will be marked with an "s"
% 0.13/0.38  # There were 5 total branch saturation attempts.
% 0.13/0.38  # There were 0 of these attempts blocked.
% 0.13/0.38  # There were 0 deferred branch saturation attempts.
% 0.13/0.38  # There were 0 free duplicated saturations.
% 0.13/0.38  # There were 5 total successful branch saturations.
% 0.13/0.38  # There were 0 successful branch saturations in interreduction.
% 0.13/0.38  # There were 0 successful branch saturations on the branch.
% 0.13/0.38  # There were 5 successful branch saturations after the branch.
% 0.13/0.38  # There were 6 total branch saturation attempts.
% 0.13/0.38  # There were 0 of these attempts blocked.
% 0.13/0.38  # There were 0 deferred branch saturation attempts.
% 0.13/0.38  # There were 0 free duplicated saturations.
% 0.13/0.38  # There were 6 total successful branch saturations.
% 0.13/0.38  # There were 3 successful branch saturations in interreduction.
% 0.13/0.38  # There were 0 successful branch saturations on the branch.
% 0.13/0.38  # There were 3 successful branch saturations after the branch.
% 0.13/0.38  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38  # Begin clausification derivation
% 0.13/0.38  
% 0.13/0.38  # End clausification derivation
% 0.13/0.38  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.38  cnf(i_0_119, hypothesis, (salt_mill|mustard_lang|mustard_mill)).
% 0.13/0.38  cnf(i_0_124, hypothesis, (salt_mill|mustard_mill|salt_cole)).
% 0.13/0.38  cnf(i_0_121, hypothesis, (salt_mill|mustard_mill|mustard_dix)).
% 0.13/0.38  cnf(i_0_123, hypothesis, (mustard_barry|salt_barry|salt_dix)).
% 0.13/0.38  cnf(i_0_125, hypothesis, (mustard_barry|mustard_dix|salt_dix)).
% 0.13/0.38  cnf(i_0_122, hypothesis, (mustard_lang|salt_lang|mustard_dix)).
% 0.13/0.38  cnf(i_0_120, hypothesis, (mustard_lang|mustard_cole|salt_cole)).
% 0.13/0.38  cnf(i_0_64, hypothesis, (mustard_barry|mustard_lang|~salt_mill)).
% 0.13/0.38  cnf(i_0_65, hypothesis, (mustard_barry|salt_lang|~salt_mill)).
% 0.13/0.38  cnf(i_0_97, hypothesis, (mustard_barry|salt_lang|~salt_barry)).
% 0.13/0.38  cnf(i_0_102, hypothesis, (mustard_barry|salt_cole|~salt_barry)).
% 0.13/0.38  cnf(i_0_66, hypothesis, (mustard_lang|salt_barry|~salt_mill)).
% 0.13/0.38  cnf(i_0_105, hypothesis, (mustard_lang|salt_barry|~salt_lang)).
% 0.13/0.38  cnf(i_0_80, hypothesis, (mustard_lang|mustard_dix|~mustard_cole)).
% 0.13/0.38  cnf(i_0_82, hypothesis, (mustard_lang|salt_dix|~mustard_cole)).
% 0.13/0.38  cnf(i_0_67, hypothesis, (salt_lang|salt_barry|~salt_mill)).
% 0.13/0.38  cnf(i_0_96, hypothesis, (salt_lang|salt_barry|~mustard_barry)).
% 0.13/0.38  cnf(i_0_104, hypothesis, (salt_lang|salt_barry|~mustard_lang)).
% 0.13/0.38  cnf(i_0_81, hypothesis, (salt_lang|mustard_dix|~mustard_cole)).
% 0.13/0.38  cnf(i_0_95, hypothesis, (salt_lang|mustard_dix|~salt_dix)).
% 0.13/0.38  cnf(i_0_83, hypothesis, (salt_lang|salt_dix|~mustard_cole)).
% 0.13/0.38  cnf(i_0_94, hypothesis, (salt_lang|salt_dix|~mustard_dix)).
% 0.13/0.38  cnf(i_0_107, hypothesis, (salt_barry|mustard_cole|~salt_cole)).
% 0.13/0.38  cnf(i_0_101, hypothesis, (salt_barry|salt_cole|~mustard_barry)).
% 0.13/0.38  cnf(i_0_106, hypothesis, (salt_barry|salt_cole|~mustard_cole)).
% 0.13/0.38  cnf(i_0_91, hypothesis, (mustard_cole|mustard_mill|~salt_cole)).
% 0.13/0.38  cnf(i_0_90, hypothesis, (mustard_mill|salt_cole|~mustard_cole)).
% 0.13/0.38  cnf(i_0_89, hypothesis, (mustard_mill|mustard_dix|~salt_dix)).
% 0.13/0.38  cnf(i_0_88, hypothesis, (mustard_mill|salt_dix|~mustard_dix)).
% 0.13/0.38  cnf(i_0_93, hypothesis, (salt_mill|~mustard_barry|~salt_barry)).
% 0.13/0.38  cnf(i_0_85, hypothesis, (salt_mill|~mustard_barry|~mustard_dix)).
% 0.13/0.38  cnf(i_0_87, hypothesis, (salt_mill|~mustard_barry|~salt_dix)).
% 0.13/0.38  cnf(i_0_92, hypothesis, (salt_mill|~mustard_lang|~salt_lang)).
% 0.13/0.38  cnf(i_0_103, hypothesis, (mustard_barry|~salt_mill|~mustard_mill)).
% 0.13/0.38  cnf(i_0_76, hypothesis, (mustard_cole|~mustard_barry|~salt_dix)).
% 0.13/0.38  cnf(i_0_99, hypothesis, (mustard_cole|~mustard_lang|~salt_lang)).
% 0.13/0.38  cnf(i_0_78, hypothesis, (mustard_cole|~salt_barry|~salt_dix)).
% 0.13/0.38  cnf(i_0_100, hypothesis, (mustard_cole|~mustard_dix|~salt_dix)).
% 0.13/0.38  cnf(i_0_84, hypothesis, (mustard_mill|~mustard_barry|~mustard_dix)).
% 0.13/0.38  cnf(i_0_86, hypothesis, (mustard_mill|~mustard_barry|~salt_dix)).
% 0.13/0.38  cnf(i_0_77, hypothesis, (salt_cole|~mustard_barry|~salt_dix)).
% 0.13/0.38  cnf(i_0_79, hypothesis, (salt_cole|~salt_barry|~salt_dix)).
% 0.13/0.38  cnf(i_0_98, hypothesis, (salt_dix|~mustard_cole|~salt_cole)).
% 0.13/0.38  cnf(i_0_69, hypothesis, (~salt_mill|~mustard_lang|~mustard_cole)).
% 0.13/0.38  cnf(i_0_71, hypothesis, (~salt_mill|~mustard_lang|~salt_cole)).
% 0.13/0.38  cnf(i_0_73, hypothesis, (~salt_mill|~mustard_lang|~mustard_dix)).
% 0.13/0.38  cnf(i_0_75, hypothesis, (~salt_mill|~salt_lang|~mustard_dix)).
% 0.13/0.38  cnf(i_0_68, hypothesis, (~mustard_lang|~mustard_cole|~mustard_mill)).
% 0.13/0.38  cnf(i_0_70, hypothesis, (~mustard_lang|~mustard_mill|~salt_cole)).
% 0.13/0.38  cnf(i_0_72, hypothesis, (~mustard_lang|~mustard_mill|~mustard_dix)).
% 0.13/0.38  cnf(i_0_74, hypothesis, (~salt_lang|~mustard_mill|~mustard_dix)).
% 0.13/0.38  cnf(i_0_111, hypothesis, (mustard_barry|salt_barry|~salt_mill|~salt_cole)).
% 0.13/0.38  cnf(i_0_110, hypothesis, (mustard_barry|salt_barry|~mustard_mill|~salt_cole)).
% 0.13/0.38  cnf(i_0_113, hypothesis, (mustard_cole|salt_cole|mustard_dix|salt_dix|~mustard_mill)).
% 0.13/0.38  cnf(i_0_109, hypothesis, (~salt_mill|~mustard_barry|~salt_barry|~salt_cole)).
% 0.13/0.38  cnf(i_0_108, hypothesis, (~mustard_barry|~salt_barry|~mustard_mill|~salt_cole)).
% 0.13/0.38  cnf(i_0_116, hypothesis, (mustard_barry|salt_barry|~salt_lang|~mustard_dix|~salt_dix)).
% 0.13/0.38  cnf(i_0_118, hypothesis, (mustard_lang|salt_lang|~salt_barry|~mustard_cole|~salt_cole)).
% 0.13/0.38  cnf(i_0_115, hypothesis, (mustard_dix|salt_dix|~mustard_barry|~salt_lang|~salt_barry)).
% 0.13/0.38  cnf(i_0_114, hypothesis, (~mustard_barry|~salt_lang|~salt_barry|~mustard_dix|~salt_dix)).
% 0.13/0.38  cnf(i_0_117, hypothesis, (~mustard_lang|~salt_lang|~salt_barry|~mustard_cole|~salt_cole)).
% 0.13/0.38  cnf(i_0_112, hypothesis, (~mustard_cole|~mustard_mill|~salt_cole|~mustard_dix|~salt_dix)).
% 0.13/0.38  cnf(i_0_126, negated_conjecture, (salt_lang|mustard_cole|mustard_mill|salt_cole|mustard_dix|salt_dix|~salt_mill|~mustard_barry|~mustard_lang|~salt_barry)).
% 0.13/0.38  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.13/0.38  # Begin printing tableau
% 0.13/0.38  # Found 8 steps
% 0.13/0.38  cnf(i_0_121, hypothesis, (salt_mill|mustard_mill|mustard_dix), inference(start_rule)).
% 0.13/0.38  cnf(i_0_2283, plain, (salt_mill), inference(extension_rule, [i_0_64])).
% 0.13/0.38  cnf(i_0_2726, plain, (mustard_barry), inference(extension_rule, [i_0_96])).
% 0.13/0.38  cnf(i_0_2284, plain, (mustard_mill), inference(etableau_closure_rule, [i_0_2284, ...])).
% 0.13/0.38  cnf(i_0_2285, plain, (mustard_dix), inference(etableau_closure_rule, [i_0_2285, ...])).
% 0.13/0.38  cnf(i_0_2727, plain, (mustard_lang), inference(etableau_closure_rule, [i_0_2727, ...])).
% 0.13/0.38  cnf(i_0_2774, plain, (salt_lang), inference(etableau_closure_rule, [i_0_2774, ...])).
% 0.13/0.38  cnf(i_0_2775, plain, (salt_barry), inference(etableau_closure_rule, [i_0_2775, ...])).
% 0.13/0.38  # End printing tableau
% 0.13/0.38  # SZS output end
% 0.13/0.38  # Branches closed with saturation will be marked with an "s"
% 0.13/0.38  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38  # Begin clausification derivation
% 0.13/0.38  
% 0.13/0.38  # End clausification derivation
% 0.13/0.38  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.38  cnf(i_0_119, hypothesis, (salt_mill|mustard_lang|mustard_mill)).
% 0.13/0.38  cnf(i_0_124, hypothesis, (salt_mill|mustard_mill|salt_cole)).
% 0.13/0.38  cnf(i_0_121, hypothesis, (salt_mill|mustard_mill|mustard_dix)).
% 0.13/0.38  cnf(i_0_123, hypothesis, (mustard_barry|salt_barry|salt_dix)).
% 0.13/0.38  cnf(i_0_125, hypothesis, (mustard_barry|mustard_dix|salt_dix)).
% 0.13/0.38  cnf(i_0_122, hypothesis, (mustard_lang|salt_lang|mustard_dix)).
% 0.13/0.38  cnf(i_0_120, hypothesis, (mustard_lang|mustard_cole|salt_cole)).
% 0.13/0.38  cnf(i_0_64, hypothesis, (mustard_barry|mustard_lang|~salt_mill)).
% 0.13/0.38  cnf(i_0_65, hypothesis, (mustard_barry|salt_lang|~salt_mill)).
% 0.13/0.38  cnf(i_0_97, hypothesis, (mustard_barry|salt_lang|~salt_barry)).
% 0.13/0.38  cnf(i_0_102, hypothesis, (mustard_barry|salt_cole|~salt_barry)).
% 0.13/0.38  cnf(i_0_66, hypothesis, (mustard_lang|salt_barry|~salt_mill)).
% 0.13/0.38  cnf(i_0_105, hypothesis, (mustard_lang|salt_barry|~salt_lang)).
% 0.13/0.38  cnf(i_0_80, hypothesis, (mustard_lang|mustard_dix|~mustard_cole)).
% 0.13/0.38  cnf(i_0_82, hypothesis, (mustard_lang|salt_dix|~mustard_cole)).
% 0.13/0.38  cnf(i_0_67, hypothesis, (salt_lang|salt_barry|~salt_mill)).
% 0.13/0.38  cnf(i_0_96, hypothesis, (salt_lang|salt_barry|~mustard_barry)).
% 0.13/0.38  cnf(i_0_104, hypothesis, (salt_lang|salt_barry|~mustard_lang)).
% 0.13/0.38  cnf(i_0_81, hypothesis, (salt_lang|mustard_dix|~mustard_cole)).
% 0.13/0.38  cnf(i_0_95, hypothesis, (salt_lang|mustard_dix|~salt_dix)).
% 0.13/0.38  cnf(i_0_83, hypothesis, (salt_lang|salt_dix|~mustard_cole)).
% 0.13/0.38  cnf(i_0_94, hypothesis, (salt_lang|salt_dix|~mustard_dix)).
% 0.13/0.38  cnf(i_0_107, hypothesis, (salt_barry|mustard_cole|~salt_cole)).
% 0.13/0.38  cnf(i_0_101, hypothesis, (salt_barry|salt_cole|~mustard_barry)).
% 0.13/0.38  cnf(i_0_106, hypothesis, (salt_barry|salt_cole|~mustard_cole)).
% 0.13/0.38  cnf(i_0_91, hypothesis, (mustard_cole|mustard_mill|~salt_cole)).
% 0.13/0.38  cnf(i_0_90, hypothesis, (mustard_mill|salt_cole|~mustard_cole)).
% 0.13/0.38  cnf(i_0_89, hypothesis, (mustard_mill|mustard_dix|~salt_dix)).
% 0.13/0.38  cnf(i_0_88, hypothesis, (mustard_mill|salt_dix|~mustard_dix)).
% 0.13/0.38  cnf(i_0_93, hypothesis, (salt_mill|~mustard_barry|~salt_barry)).
% 0.13/0.38  cnf(i_0_85, hypothesis, (salt_mill|~mustard_barry|~mustard_dix)).
% 0.13/0.38  cnf(i_0_87, hypothesis, (salt_mill|~mustard_barry|~salt_dix)).
% 0.13/0.38  cnf(i_0_92, hypothesis, (salt_mill|~mustard_lang|~salt_lang)).
% 0.13/0.38  cnf(i_0_103, hypothesis, (mustard_barry|~salt_mill|~mustard_mill)).
% 0.13/0.38  cnf(i_0_76, hypothesis, (mustard_cole|~mustard_barry|~salt_dix)).
% 0.13/0.38  cnf(i_0_99, hypothesis, (mustard_cole|~mustard_lang|~salt_lang)).
% 0.13/0.38  cnf(i_0_78, hypothesis, (mustard_cole|~salt_barry|~salt_dix)).
% 0.13/0.38  cnf(i_0_100, hypothesis, (mustard_cole|~mustard_dix|~salt_dix)).
% 0.13/0.38  cnf(i_0_84, hypothesis, (mustard_mill|~mustard_barry|~mustard_dix)).
% 0.13/0.38  cnf(i_0_86, hypothesis, (mustard_mill|~mustard_barry|~salt_dix)).
% 0.13/0.38  cnf(i_0_77, hypothesis, (salt_cole|~mustard_barry|~salt_dix)).
% 0.13/0.38  cnf(i_0_79, hypothesis, (salt_cole|~salt_barry|~salt_dix)).
% 0.13/0.38  cnf(i_0_98, hypothesis, (salt_dix|~mustard_cole|~salt_cole)).
% 0.13/0.38  cnf(i_0_69, hypothesis, (~salt_mill|~mustard_lang|~mustard_cole)).
% 0.13/0.38  cnf(i_0_71, hypothesis, (~salt_mill|~mustard_lang|~salt_cole)).
% 0.13/0.38  cnf(i_0_73, hypothesis, (~salt_mill|~mustard_lang|~mustard_dix)).
% 0.13/0.38  cnf(i_0_75, hypothesis, (~salt_mill|~salt_lang|~mustard_dix)).
% 0.13/0.38  cnf(i_0_68, hypothesis, (~mustard_lang|~mustard_cole|~mustard_mill)).
% 0.13/0.38  cnf(i_0_70, hypothesis, (~mustard_lang|~mustard_mill|~salt_cole)).
% 0.13/0.38  cnf(i_0_72, hypothesis, (~mustard_lang|~mustard_mill|~mustard_dix)).
% 0.13/0.38  cnf(i_0_74, hypothesis, (~salt_lang|~mustard_mill|~mustard_dix)).
% 0.13/0.38  cnf(i_0_111, hypothesis, (mustard_barry|salt_barry|~salt_mill|~salt_cole)).
% 0.13/0.38  cnf(i_0_110, hypothesis, (mustard_barry|salt_barry|~mustard_mill|~salt_cole)).
% 0.13/0.38  cnf(i_0_113, hypothesis, (mustard_cole|salt_cole|mustard_dix|salt_dix|~mustard_mill)).
% 0.13/0.38  cnf(i_0_109, hypothesis, (~salt_mill|~mustard_barry|~salt_barry|~salt_cole)).
% 0.13/0.38  cnf(i_0_108, hypothesis, (~mustard_barry|~salt_barry|~mustard_mill|~salt_cole)).
% 0.13/0.38  cnf(i_0_116, hypothesis, (mustard_barry|salt_barry|~salt_lang|~mustard_dix|~salt_dix)).
% 0.13/0.38  cnf(i_0_118, hypothesis, (mustard_lang|salt_lang|~salt_barry|~mustard_cole|~salt_cole)).
% 0.13/0.38  cnf(i_0_115, hypothesis, (mustard_dix|salt_dix|~mustard_barry|~salt_lang|~salt_barry)).
% 0.13/0.38  cnf(i_0_114, hypothesis, (~mustard_barry|~salt_lang|~salt_barry|~mustard_dix|~salt_dix)).
% 0.13/0.38  cnf(i_0_117, hypothesis, (~mustard_lang|~salt_lang|~salt_barry|~mustard_cole|~salt_cole)).
% 0.13/0.38  cnf(i_0_112, hypothesis, (~mustard_cole|~mustard_mill|~salt_cole|~mustard_dix|~salt_dix)).
% 0.13/0.38  cnf(i_0_126, negated_conjecture, (salt_lang|mustard_cole|mustard_mill|salt_cole|mustard_dix|salt_dix|~salt_mill|~mustard_barry|~mustard_lang|~salt_barry)).
% 0.13/0.38  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.13/0.38  # Begin printing tableau
% 0.13/0.38  # Found 9 steps
% 0.13/0.38  cnf(i_0_119, hypothesis, (salt_mill|mustard_lang|mustard_mill), inference(start_rule)).
% 0.13/0.38  cnf(i_0_2277, plain, (salt_mill), inference(extension_rule, [i_0_109])).
% 0.13/0.38  cnf(i_0_2658, plain, (~mustard_barry), inference(extension_rule, [i_0_125])).
% 0.13/0.38  cnf(i_0_2278, plain, (mustard_lang), inference(etableau_closure_rule, [i_0_2278, ...])).
% 0.13/0.38  cnf(i_0_2279, plain, (mustard_mill), inference(etableau_closure_rule, [i_0_2279, ...])).
% 0.13/0.38  cnf(i_0_2659, plain, (~salt_barry), inference(etableau_closure_rule, [i_0_2659, ...])).
% 0.13/0.38  cnf(i_0_2660, plain, (~salt_cole), inference(etableau_closure_rule, [i_0_2660, ...])).
% 0.13/0.38  cnf(i_0_2718, plain, (mustard_dix), inference(etableau_closure_rule, [i_0_2718, ...])).
% 0.13/0.38  cnf(i_0_2719, plain, (salt_dix), inference(etableau_closure_rule, [i_0_2719, ...])).
% 0.13/0.38  # End printing tableau
% 0.13/0.38  # SZS output end
% 0.13/0.38  # Branches closed with saturation will be marked with an "s"
% 0.13/0.38  # Child (8250) has found a proof.
% 0.13/0.38  
% 0.13/0.38  # Proof search is over...
% 0.13/0.38  # Freeing feature tree
%------------------------------------------------------------------------------