TSTP Solution File: SYN492-1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SYN492-1 : TPTP v8.1.0. Released v2.1.0.
% 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 : n005.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 : Thu Jul 21 06:11:41 EDT 2022

% Result   : Satisfiable 0.12s 0.37s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SYN492-1 : TPTP v8.1.0. Released v2.1.0.
% 0.11/0.12  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.33  % Computer : n005.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jul 12 07:03:51 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.36  # No SInE strategy applied
% 0.12/0.36  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.36  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.12/0.36  #
% 0.12/0.36  # Presaturation interreduction done
% 0.12/0.36  # Number of axioms: 60 Number of unprocessed: 60
% 0.12/0.36  # Tableaux proof search.
% 0.12/0.36  # APR header successfully linked.
% 0.12/0.36  # Hello from C++
% 0.12/0.36  # The folding up rule is enabled...
% 0.12/0.36  # Local unification is enabled...
% 0.12/0.36  # Any saturation attempts will use folding labels...
% 0.12/0.36  # 60 beginning clauses after preprocessing and clausification
% 0.12/0.36  # Creating start rules for all 60 conjectures.
% 0.12/0.36  # There are 60 start rule candidates:
% 0.12/0.36  # Found 0 unit axioms.
% 0.12/0.36  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.12/0.36  # 60 start rule tableaux created.
% 0.12/0.36  # 60 extension rule candidate clauses
% 0.12/0.36  # 0 unit axiom clauses
% 0.12/0.36  
% 0.12/0.36  # Requested 8, 32 cores available to the main process.
% 0.12/0.37  # 1362 Satisfiable branch
% 0.12/0.37  # Satisfiable branch found.
% 0.12/0.37  # There were 1 total branch saturation attempts.
% 0.12/0.37  # There were 0 of these attempts blocked.
% 0.12/0.37  # There were 0 deferred branch saturation attempts.
% 0.12/0.37  # There were 0 free duplicated saturations.
% 0.12/0.37  # There were 0 total successful branch saturations.
% 0.12/0.37  # There were 0 successful branch saturations in interreduction.
% 0.12/0.37  # There were 0 successful branch saturations on the branch.
% 0.12/0.37  # There were 0 successful branch saturations after the branch.
% 0.12/0.37  # SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37  # Begin clausification derivation
% 0.12/0.37  
% 0.12/0.37  # End clausification derivation
% 0.12/0.37  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.12/0.37  cnf(i_0_61, negated_conjecture, (ndr1_0|~hskp12)).
% 0.12/0.37  cnf(i_0_62, negated_conjecture, (ndr1_0|~hskp11)).
% 0.12/0.37  cnf(i_0_63, negated_conjecture, (ndr1_0|~hskp10)).
% 0.12/0.37  cnf(i_0_64, negated_conjecture, (ndr1_0|~hskp9)).
% 0.12/0.37  cnf(i_0_65, negated_conjecture, (ndr1_0|~hskp8)).
% 0.12/0.37  cnf(i_0_66, negated_conjecture, (ndr1_0|~hskp7)).
% 0.12/0.37  cnf(i_0_67, negated_conjecture, (ndr1_0|~hskp6)).
% 0.12/0.37  cnf(i_0_68, negated_conjecture, (ndr1_0|~hskp5)).
% 0.12/0.37  cnf(i_0_69, negated_conjecture, (ndr1_0|~hskp4)).
% 0.12/0.37  cnf(i_0_70, negated_conjecture, (ndr1_0|~hskp3)).
% 0.12/0.37  cnf(i_0_71, negated_conjecture, (ndr1_0|~hskp2)).
% 0.12/0.37  cnf(i_0_72, negated_conjecture, (ndr1_0|~hskp1)).
% 0.12/0.37  cnf(i_0_73, negated_conjecture, (ndr1_0|~hskp0)).
% 0.12/0.37  cnf(i_0_92, negated_conjecture, (~c0_1(a32)|~hskp12)).
% 0.12/0.37  cnf(i_0_93, negated_conjecture, (~c3_1(a26)|~hskp10)).
% 0.12/0.37  cnf(i_0_94, negated_conjecture, (~c3_1(a25)|~hskp9)).
% 0.12/0.37  cnf(i_0_74, negated_conjecture, (hskp3|hskp11|hskp12)).
% 0.12/0.37  cnf(i_0_75, negated_conjecture, (c1_1(a32)|~hskp12)).
% 0.12/0.37  cnf(i_0_95, negated_conjecture, (~c1_1(a37)|~hskp8)).
% 0.12/0.37  cnf(i_0_96, negated_conjecture, (~c3_1(a36)|~hskp7)).
% 0.12/0.37  cnf(i_0_98, negated_conjecture, (~c0_1(a36)|~hskp7)).
% 0.12/0.37  cnf(i_0_97, negated_conjecture, (~c2_1(a36)|~hskp7)).
% 0.12/0.37  cnf(i_0_80, negated_conjecture, (c1_1(a26)|~hskp10)).
% 0.12/0.37  cnf(i_0_99, negated_conjecture, (~c3_1(a35)|~hskp6)).
% 0.12/0.37  cnf(i_0_100, negated_conjecture, (~c0_1(a35)|~hskp6)).
% 0.12/0.37  cnf(i_0_101, negated_conjecture, (~c2_1(a35)|~hskp6)).
% 0.12/0.37  cnf(i_0_102, negated_conjecture, (~c3_1(a34)|~hskp5)).
% 0.12/0.37  cnf(i_0_82, negated_conjecture, (c1_1(a25)|~hskp9)).
% 0.12/0.37  cnf(i_0_87, negated_conjecture, (c1_1(a33)|~hskp4)).
% 0.12/0.37  cnf(i_0_103, negated_conjecture, (~c2_1(a34)|~hskp5)).
% 0.12/0.37  cnf(i_0_105, negated_conjecture, (~c0_1(a33)|~hskp4)).
% 0.12/0.37  cnf(i_0_104, negated_conjecture, (~c2_1(a33)|~hskp4)).
% 0.12/0.37  cnf(i_0_106, negated_conjecture, (~c1_1(a31)|~hskp3)).
% 0.12/0.37  cnf(i_0_89, negated_conjecture, (c1_1(a29)|~hskp2)).
% 0.12/0.37  cnf(i_0_107, negated_conjecture, (~c3_1(a31)|~hskp3)).
% 0.12/0.37  cnf(i_0_108, negated_conjecture, (~c3_1(a29)|~hskp2)).
% 0.12/0.37  cnf(i_0_109, negated_conjecture, (~c2_1(a29)|~hskp2)).
% 0.12/0.37  cnf(i_0_111, negated_conjecture, (~c0_1(a28)|~hskp1)).
% 0.12/0.37  cnf(i_0_90, negated_conjecture, (c1_1(a28)|~hskp1)).
% 0.12/0.37  cnf(i_0_76, negated_conjecture, (c3_1(a32)|~hskp12)).
% 0.12/0.37  cnf(i_0_110, negated_conjecture, (~c2_1(a28)|~hskp1)).
% 0.12/0.37  cnf(i_0_112, negated_conjecture, (~c0_1(a27)|~hskp0)).
% 0.12/0.37  cnf(i_0_113, negated_conjecture, (~c2_1(a27)|~hskp0)).
% 0.12/0.37  cnf(i_0_77, negated_conjecture, (c3_1(a30)|~hskp11)).
% 0.12/0.37  cnf(i_0_85, negated_conjecture, (c3_1(a37)|~hskp8)).
% 0.12/0.37  cnf(i_0_91, negated_conjecture, (c3_1(a27)|~hskp0)).
% 0.12/0.37  cnf(i_0_78, negated_conjecture, (c0_1(a30)|~hskp11)).
% 0.12/0.37  cnf(i_0_81, negated_conjecture, (c0_1(a26)|~hskp10)).
% 0.12/0.37  cnf(i_0_83, negated_conjecture, (c0_1(a25)|~hskp9)).
% 0.12/0.37  cnf(i_0_86, negated_conjecture, (c0_1(a34)|~hskp5)).
% 0.12/0.37  cnf(i_0_79, negated_conjecture, (c2_1(a30)|~hskp11)).
% 0.12/0.37  cnf(i_0_84, negated_conjecture, (c2_1(a37)|~hskp8)).
% 0.12/0.37  cnf(i_0_88, negated_conjecture, (c2_1(a31)|~hskp3)).
% 0.12/0.37  cnf(i_0_116, negated_conjecture, (c3_1(X1)|hskp9|hskp10|~c0_1(X1)|~c1_1(X1)|~ndr1_0)).
% 0.12/0.37  cnf(i_0_115, negated_conjecture, (c2_1(X1)|c0_1(X1)|hskp7|hskp8|~c1_1(X1)|~ndr1_0)).
% 0.12/0.37  cnf(i_0_114, negated_conjecture, (c2_1(X1)|c1_1(X1)|hskp0|hskp1|~c3_1(X1)|~ndr1_0)).
% 0.12/0.37  cnf(i_0_120, negated_conjecture, (c0_1(X1)|c1_1(X1)|hskp6|~c2_1(X2)|~c0_1(X2)|~c3_1(X2)|~c3_1(X1)|~ndr1_0)).
% 0.12/0.37  cnf(i_0_119, negated_conjecture, (c0_1(X1)|c0_1(X2)|c1_1(X2)|hskp4|~c2_1(X2)|~c3_1(X1)|~c1_1(X1)|~ndr1_0)).
% 0.12/0.37  cnf(i_0_118, negated_conjecture, (c0_1(X1)|c3_1(X1)|c1_1(X2)|c1_1(X1)|hskp5|~c2_1(X2)|~c0_1(X2)|~ndr1_0)).
% 0.12/0.37  cnf(i_0_117, negated_conjecture, (c2_1(X1)|c0_1(X2)|c0_1(X1)|c3_1(X1)|hskp2|~c2_1(X2)|~c1_1(X2)|~ndr1_0)).
% 0.12/0.37  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.12/0.37  # Begin printing tableau
% 0.12/0.37  # Found 3 steps
% 0.12/0.37  cnf(i_0_116, negated_conjecture, (c3_1(a29)|hskp9|hskp10|~c0_1(a29)|~c1_1(a29)|~ndr1_0), inference(start_rule)).
% 0.12/0.37  cnf(i_0_165, plain, (c3_1(a29)), inference(e# 1361 Satisfiable branch
% 0.12/0.37  xtension_rule, [i_0_108])).
% 0.12/0.37  cnf(i_0_363, plain, (~hskp2), inference(extension_rule, [i_0_117])).
% 0.12/0.37  # End printing tableau
% 0.12/0.37  # SZS output end
% 0.12/0.37  # Branches closed with saturation will be marked with an "s"
% 0.12/0.37  # Satisfiable branch found.
% 0.12/0.37  # There were 1 total branch saturation attempts.
% 0.12/0.37  # There were 0 of these attempts blocked.
% 0.12/0.37  # There were 0 deferred branch saturation attempts.
% 0.12/0.37  # There were 0 free duplicated saturations.
% 0.12/0.37  # There were 0 total successful branch saturations.
% 0.12/0.37  # There were 0 successful branch saturations in interreduction.
% 0.12/0.37  # There were 0 successful branch saturations on the branch.
% 0.12/0.37  # There were 0 successful branch saturations after the branch.
% 0.12/0.37  # 1360 Satisfiable branch
% 0.12/0.37  # SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37  # Begin clausification derivation
% 0.12/0.37  
% 0.12/0.37  # End clausification derivation
% 0.12/0.37  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.12/0.37  cnf(i_0_61, negated_conjecture, (ndr1_0|~hskp12)).
% 0.12/0.37  cnf(i_0_62, negated_conjecture, (ndr1_0|~hskp11)).
% 0.12/0.37  cnf(i_0_63, negated_conjecture, (ndr1_0|~hskp10)).
% 0.12/0.37  cnf(i_0_64, negated_conjecture, (ndr1_0|~hskp9)).
% 0.12/0.37  cnf(i_0_65, negated_conjecture, (ndr1_0|~hskp8)).
% 0.12/0.37  cnf(i_0_66, negated_conjecture, (ndr1_0|~hskp7)).
% 0.12/0.37  cnf(i_0_67, negated_conjecture, (ndr1_0|~hskp6)).
% 0.12/0.37  cnf(i_0_68, negated_conjecture, (ndr1_0|~hskp5)).
% 0.12/0.37  cnf(i_0_69, negated_conjecture, (ndr1_0|~hskp4)).
% 0.12/0.37  cnf(i_0_70, negated_conjecture, (ndr1_0|~hskp3)).
% 0.12/0.37  cnf(i_0_71, negated_conjecture, (ndr1_0|~hskp2)).
% 0.12/0.37  cnf(i_0_72, negated_conjecture, (ndr1_0|~hskp1)).
% 0.12/0.37  cnf(i_0_73, negated_conjecture, (ndr1_0|~hskp0)).
% 0.12/0.37  cnf(i_0_92, negated_conjecture, (~c0_1(a32)|~hskp12)).
% 0.12/0.37  cnf(i_0_93, negated_conjecture, (~c3_1(a26)|~hskp10)).
% 0.12/0.37  cnf(i_0_94, negated_conjecture, (~c3_1(a25)|~hskp9)).
% 0.12/0.37  cnf(i_0_74, negated_conjecture, (hskp3|hskp11|hskp12)).
% 0.12/0.37  cnf(i_0_75, negated_conjecture, (c1_1(a32)|~hskp12)).
% 0.12/0.37  cnf(i_0_95, negated_conjecture, (~c1_1(a37)|~hskp8)).
% 0.12/0.37  cnf(i_0_96, negated_conjecture, (~c3_1(a36)|~hskp7)).
% 0.12/0.37  cnf(i_0_98, negated_conjecture, (~c0_1(a36)|~hskp7)).
% 0.12/0.37  cnf(i_0_97, negated_conjecture, (~c2_1(a36)|~hskp7)).
% 0.12/0.37  cnf(i_0_80, negated_conjecture, (c1_1(a26)|~hskp10)).
% 0.12/0.37  cnf(i_0_99, negated_conjecture, (~c3_1(a35)|~hskp6)).
% 0.12/0.37  cnf(i_0_100, negated_conjecture, (~c0_1(a35)|~hskp6)).
% 0.12/0.37  cnf(i_0_101, negated_conjecture, (~c2_1(a35)|~hskp6)).
% 0.12/0.37  cnf(i_0_102, negated_conjecture, (~c3_1(a34)|~hskp5)).
% 0.12/0.37  cnf(i_0_82, negated_conjecture, (c1_1(a25)|~hskp9)).
% 0.12/0.37  cnf(i_0_87, negated_conjecture, (c1_1(a33)|~hskp4)).
% 0.12/0.37  cnf(i_0_103, negated_conjecture, (~c2_1(a34)|~hskp5)).
% 0.12/0.37  cnf(i_0_105, negated_conjecture, (~c0_1(a33)|~hskp4)).
% 0.12/0.37  cnf(i_0_104, negated_conjecture, (~c2_1(a33)|~hskp4)).
% 0.12/0.37  cnf(i_0_106, negated_conjecture, (~c1_1(a31)|~hskp3)).
% 0.12/0.37  cnf(i_0_89, negated_conjecture, (c1_1(a29)|~hskp2)).
% 0.12/0.37  cnf(i_0_107, negated_conjecture, (~c3_1(a31)|~hskp3)).
% 0.12/0.37  cnf(i_0_108, negated_conjecture, (~c3_1(a29)|~hskp2)).
% 0.12/0.37  cnf(i_0_109, negated_conjecture, (~c2_1(a29)|~hskp2)).
% 0.12/0.37  cnf(i_0_111, negated_conjecture, (~c0_1(a28)|~hskp1)).
% 0.12/0.37  cnf(i_0_90, negated_conjecture, (c1_1(a28)|~hskp1)).
% 0.12/0.37  cnf(i_0_76, negated_conjecture, (c3_1(a32)|~hskp12)).
% 0.12/0.37  cnf(i_0_110, negated_conjecture, (~c2_1(a28)|~hskp1)).
% 0.12/0.37  cnf(i_0_112, negated_conjecture, (~c0_1(a27)|~hskp0)).
% 0.12/0.37  cnf(i_0_113, negated_conjecture, (~c2_1(a27)|~hskp0)).
% 0.12/0.37  cnf(i_0_77, negated_conjecture, (c3_1(a30)|~hskp11)).
% 0.12/0.37  cnf(i_0_85, negated_conjecture, (c3_1(a37)|~hskp8)).
% 0.12/0.37  cnf(i_0_91, negated_conjecture, (c3_1(a27)|~hskp0)).
% 0.12/0.37  cnf(i_0_78, negated_conjecture, (c0_1(a30)|~hskp11)).
% 0.12/0.37  cnf(i_0_81, negated_conjecture, (c0_1(a26)|~hskp10)).
% 0.12/0.37  cnf(i_0_83, negated_conjecture, (c0_1(a25)|~hskp9)).
% 0.12/0.37  cnf(i_0_86, negated_conjecture, (c0_1(a34)|~hskp5)).
% 0.12/0.37  cnf(i_0_79, negated_conjecture, (c2_1(a30)|~hskp11)).
% 0.12/0.37  cnf(i_0_84, negated_conjecture, (c2_1(a37)|~hskp8)).
% 0.12/0.37  cnf(i_0_88, negated_conjecture, (c2_1(a31)|~hskp3)).
% 0.12/0.37  cnf(i_0_116, negated_conjecture, (c3_1(X1)|hskp9|hskp10|~c0_1(X1)|~c1_1(X1)|~ndr1_0)).
% 0.12/0.37  cnf(i_0_115, negated_conjecture, (c2_1(X1)|c0_1(X1)|hskp7|hskp8|~c1_1(X1)|~ndr1_0)).
% 0.12/0.37  cnf(i_0_114, negated_conjecture, (c2_1(X1)|c1_1(X1)|hskp0|hskp1|~c3_1(X1)|~ndr1_0)).
% 0.12/0.37  cnf(i_0_120, negated_conjecture, (c0_1(X1)|c1_1(X1)|hskp6|~c2_1(X2)|~c0_1(X2)|~c3_1(X2)|~c3_1(X1)|~ndr1_0)).
% 0.12/0.37  cnf(i_0_119, negated_conjecture, (c0_1(X1)|c0_1(X2)|c1_1(X2)|hskp4|~c2_1(X2)|~c3_1(X1)|~c1_1(X1)|~ndr1_0)).
% 0.12/0.37  cnf(i_0_118, negated_conjecture, (c0_1(X1)|c3_1(X1)|c1_1(X2)|c1_1(X1)|hskp5|~c2_1(X2)|~c0_1(X2)|~ndr1_0)).
% 0.12/0.37  cnf(i_0_117, negated_conjecture, (c2_1(X1)|c0_1(X2)|c0_1(X1)|c3_1(X1)|hskp2|~c2_1(X2)|~c1_1(X2)|~ndr1_0)).
% 0.12/0.37  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.12/0.37  # Begin printing tableau
% 0.12/0.37  # Found 3 steps
% 0.12/0.37  cnf(i_0_115, negated_conjecture, (c2_1(a27)|c0_1(a27)|hskp7|hskp8|~c1_1(a27)|~ndr1_0), inference(start_rule)).
% 0.12/0.37  cnf(i_0_159, plain, (c2_1(a27)), inference(ext# Child (1362) has found a proof.
% 0.12/0.37  
% 0.12/0.37  # Proof search is over...
% 0.12/0.37  # Freeing feature tree
%------------------------------------------------------------------------------