TSTP Solution File: SYN431+1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SYN431+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 : n012.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 06:11:00 EDT 2022

% Result   : CounterSatisfiable 0.21s 0.50s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SYN431+1 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.14  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.14/0.35  % Computer : n012.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Tue Jul 12 00:20:27 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.39  # No SInE strategy applied
% 0.21/0.39  # Auto-Mode selected heuristic G_E___207_C18_F1_AE_CS_SP_PI_PS_S0S
% 0.21/0.39  # and selection function SelectComplexG.
% 0.21/0.39  #
% 0.21/0.39  # Presaturation interreduction done
% 0.21/0.39  # Number of axioms: 132 Number of unprocessed: 132
% 0.21/0.39  # Tableaux proof search.
% 0.21/0.39  # APR header successfully linked.
% 0.21/0.39  # Hello from C++
% 0.21/0.39  # The folding up rule is enabled...
% 0.21/0.39  # Local unification is enabled...
% 0.21/0.39  # Any saturation attempts will use folding labels...
% 0.21/0.39  # 132 beginning clauses after preprocessing and clausification
% 0.21/0.39  # Creating start rules for all 132 conjectures.
% 0.21/0.39  # There are 132 start rule candidates:
% 0.21/0.39  # Found 0 unit axioms.
% 0.21/0.39  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.21/0.39  # 132 start rule tableaux created.
% 0.21/0.39  # 132 extension rule candidate clauses
% 0.21/0.39  # 0 unit axiom clauses
% 0.21/0.39  
% 0.21/0.39  # Requested 8, 32 cores available to the main process.
% 0.21/0.49  # 27245 Satisfiable branch
% 0.21/0.50  # Satisfiable branch found.
% 0.21/0.50  # There were 1 total branch saturation attempts.
% 0.21/0.50  # There were 0 of these attempts blocked.
% 0.21/0.50  # There were 0 deferred branch saturation attempts.
% 0.21/0.50  # There were 0 free duplicated saturations.
% 0.21/0.50  # There were 0 total successful branch saturations.
% 0.21/0.50  # There were 0 successful branch saturations in interreduction.
% 0.21/0.50  # There were 0 successful branch saturations on the branch.
% 0.21/0.50  # There were 0 successful branch saturations after the branch.
% 0.21/0.50  # SZS status CounterSatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.50  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.50  # Begin clausification derivation
% 0.21/0.50  
% 0.21/0.50  # End clausification derivation
% 0.21/0.50  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.21/0.50  cnf(i_0_132, negated_conjecture, (ndr1_0|~hskp0)).
% 0.21/0.50  cnf(i_0_128, negated_conjecture, (ndr1_0|~hskp1)).
% 0.21/0.50  cnf(i_0_124, negated_conjecture, (ndr1_0|~hskp2)).
% 0.21/0.50  cnf(i_0_120, negated_conjecture, (ndr1_0|~hskp3)).
% 0.21/0.50  cnf(i_0_116, negated_conjecture, (ndr1_0|~hskp4)).
% 0.21/0.50  cnf(i_0_112, negated_conjecture, (ndr1_0|~hskp5)).
% 0.21/0.50  cnf(i_0_108, negated_conjecture, (ndr1_0|~hskp6)).
% 0.21/0.50  cnf(i_0_104, negated_conjecture, (ndr1_0|~hskp7)).
% 0.21/0.50  cnf(i_0_100, negated_conjecture, (ndr1_0|~hskp8)).
% 0.21/0.50  cnf(i_0_96, negated_conjecture, (ndr1_0|~hskp9)).
% 0.21/0.50  cnf(i_0_92, negated_conjecture, (ndr1_0|~hskp10)).
% 0.21/0.50  cnf(i_0_88, negated_conjecture, (ndr1_0|~hskp11)).
% 0.21/0.50  cnf(i_0_84, negated_conjecture, (ndr1_0|~hskp12)).
% 0.21/0.50  cnf(i_0_80, negated_conjecture, (ndr1_0|~hskp13)).
% 0.21/0.50  cnf(i_0_76, negated_conjecture, (ndr1_0|~hskp14)).
% 0.21/0.50  cnf(i_0_72, negated_conjecture, (ndr1_0|~hskp15)).
% 0.21/0.50  cnf(i_0_68, negated_conjecture, (ndr1_0|~hskp16)).
% 0.21/0.50  cnf(i_0_64, negated_conjecture, (ndr1_0|~hskp17)).
% 0.21/0.50  cnf(i_0_60, negated_conjecture, (ndr1_0|~hskp18)).
% 0.21/0.50  cnf(i_0_56, negated_conjecture, (ndr1_0|~hskp19)).
% 0.21/0.50  cnf(i_0_52, negated_conjecture, (ndr1_0|~hskp20)).
% 0.21/0.50  cnf(i_0_48, negated_conjecture, (ndr1_0|~hskp21)).
% 0.21/0.50  cnf(i_0_44, negated_conjecture, (ndr1_0|~hskp22)).
% 0.21/0.50  cnf(i_0_40, negated_conjecture, (ndr1_0|~hskp23)).
% 0.21/0.50  cnf(i_0_36, negated_conjecture, (ndr1_0|~hskp24)).
% 0.21/0.50  cnf(i_0_32, negated_conjecture, (ndr1_0|~hskp25)).
% 0.21/0.50  cnf(i_0_28, negated_conjecture, (ndr1_0|~hskp26)).
% 0.21/0.50  cnf(i_0_24, negated_conjecture, (ndr1_0|~hskp27)).
% 0.21/0.50  cnf(i_0_20, negated_conjecture, (ndr1_0|~hskp28)).
% 0.21/0.50  cnf(i_0_131, negated_conjecture, (~c1_1(a132)|~hskp0)).
% 0.21/0.50  cnf(i_0_130, negated_conjecture, (~c0_1(a132)|~hskp0)).
% 0.21/0.50  cnf(i_0_129, negated_conjecture, (~c3_1(a132)|~hskp0)).
% 0.21/0.50  cnf(i_0_126, negated_conjecture, (~hskp1|~c1_1(a133))).
% 0.21/0.50  cnf(i_0_123, negated_conjecture, (c1_1(a135)|~hskp2)).
% 0.21/0.50  cnf(i_0_125, negated_conjecture, (~hskp1|~c0_1(a133))).
% 0.21/0.50  cnf(i_0_121, negated_conjecture, (~hskp2|~c0_1(a135))).
% 0.21/0.50  cnf(i_0_122, negated_conjecture, (~hskp2|~c2_1(a135))).
% 0.21/0.50  cnf(i_0_118, negated_conjecture, (~hskp3|~c0_1(a136))).
% 0.21/0.50  cnf(i_0_3, negated_conjecture, (hskp27|hskp13|hskp3)).
% 0.21/0.50  cnf(i_0_115, negated_conjecture, (c1_1(a137)|~hskp4)).
% 0.21/0.50  cnf(i_0_117, negated_conjecture, (~hskp3|~c3_1(a136))).
% 0.21/0.50  cnf(i_0_113, negated_conjecture, (~hskp4|~c2_1(a137))).
% 0.21/0.50  cnf(i_0_109, negated_conjecture, (~hskp5|~c1_1(a139))).
% 0.21/0.50  cnf(i_0_105, negated_conjecture, (~hskp6|~c3_1(a140))).
% 0.21/0.50  cnf(i_0_107, negated_conjecture, (c1_1(a140)|~hskp6)).
% 0.21/0.50  cnf(i_0_101, negated_conjecture, (~hskp7|~c1_1(a141))).
% 0.21/0.50  cnf(i_0_97, negated_conjecture, (~hskp8|~c0_1(a142))).
% 0.21/0.50  cnf(i_0_94, negated_conjecture, (~hskp9|~c0_1(a145))).
% 0.21/0.50  cnf(i_0_93, negated_conjecture, (~hskp9|~c3_1(a145))).
% 0.21/0.50  cnf(i_0_13, negated_conjecture, (hskp18|hskp6|hskp5)).
% 0.21/0.50  cnf(i_0_98, negated_conjecture, (c1_1(a142)|~hskp8)).
% 0.21/0.50  cnf(i_0_95, negated_conjecture, (~hskp9|~c2_1(a145))).
% 0.21/0.50  cnf(i_0_89, negated_conjecture, (~hskp10|~c1_1(a146))).
% 0.21/0.50  cnf(i_0_90, negated_conjecture, (~hskp10|~c2_1(a146))).
% 0.21/0.50  cnf(i_0_85, negated_conjecture, (~hskp11|~c0_1(a151))).
% 0.21/0.50  cnf(i_0_87, negated_conjecture, (c1_1(a151)|~hskp11)).
% 0.21/0.50  cnf(i_0_86, negated_conjecture, (~hskp11|~c3_1(a151))).
% 0.21/0.50  cnf(i_0_81, negated_conjecture, (~hskp12|~c1_1(a154))).
% 0.21/0.50  cnf(i_0_82, negated_conjecture, (~hskp12|~c3_1(a154))).
% 0.21/0.50  cnf(i_0_83, negated_conjecture, (~hskp12|~c2_1(a154))).
% 0.21/0.50  cnf(i_0_5, negated_conjecture, (hskp26|hskp25|hskp11)).
% 0.21/0.50  cnf(i_0_78, negated_conjecture, (c1_1(a156)|~hskp13)).
% 0.21/0.50  cnf(i_0_77, negated_conjecture, (~hskp13|~c0_1(a156))).
% 0.21/0.50  cnf(i_0_79, negated_conjecture, (~hskp13|~c3_1(a156))).
% 0.21/0.50  cnf(i_0_73, negated_conjecture, (~hskp14|~c3_1(a159))).
% 0.21/0.50  cnf(i_0_71, negated_conjecture, (~hskp15|~c1_1(a160))).
% 0.21/0.50  cnf(i_0_75, negated_conjecture, (c1_1(a159)|~hskp14)).
% 0.21/0.50  cnf(i_0_69, negated_conjecture, (~hskp15|~c3_1(a160))).
% 0.21/0.50  cnf(i_0_70, negated_conjecture, (~hskp15|~c2_1(a160))).
% 0.21/0.50  cnf(i_0_65, negated_conjecture, (~hskp16|~c1_1(a161))).
% 0.21/0.50  cnf(i_0_62, negated_conjecture, (~hskp17|~c3_1(a134))).
% 0.21/0.50  cnf(i_0_6, negated_conjecture, (hskp24|hskp23|hskp22)).
% 0.21/0.50  cnf(i_0_53, negated_conjecture, (c1_1(a143)|~hskp19)).
% 0.21/0.50  cnf(i_0_59, negated_conjecture, (~hskp18|~c2_1(a138))).
% 0.21/0.50  cnf(i_0_51, negated_conjecture, (~hskp20|~c0_1(a144))).
% 0.21/0.50  cnf(i_0_46, negated_conjecture, (~hskp21|~c0_1(a147))).
% 0.21/0.50  cnf(i_0_43, negated_conjecture, (~hskp22|~c3_1(a148))).
% 0.21/0.50  cnf(i_0_42, negated_conjecture, (c1_1(a148)|~hskp22)).
% 0.21/0.50  cnf(i_0_39, negated_conjecture, (~hskp23|~c3_1(a149))).
% 0.21/0.50  cnf(i_0_35, negated_conjecture, (~hskp24|~c2_1(a150))).
% 0.21/0.50  cnf(i_0_30, negated_conjecture, (~hskp25|~c0_1(a152))).
% 0.21/0.50  cnf(i_0_27, negated_conjecture, (~hskp26|~c0_1(a153))).
% 0.21/0.50  cnf(i_0_38, negated_conjecture, (c1_1(a149)|~hskp23)).
% 0.21/0.50  cnf(i_0_34, negated_conjecture, (c1_1(a150)|~hskp24)).
% 0.21/0.50  cnf(i_0_26, negated_conjecture, (~hskp26|~c3_1(a153))).
% 0.21/0.50  cnf(i_0_23, negated_conjecture, (~hskp27|~c1_1(a157))).
% 0.21/0.50  cnf(i_0_18, negated_conjecture, (~hskp28|~c0_1(a158))).
% 0.21/0.50  cnf(i_0_25, negated_conjecture, (c1_1(a153)|~hskp26)).
% 0.21/0.50  cnf(i_0_19, negated_conjecture, (c1_1(a158)|~hskp28)).
% 0.21/0.50  cnf(i_0_110, negated_conjecture, (c0_1(a139)|~hskp5)).
% 0.21/0.50  cnf(i_0_106, negated_conjecture, (c0_1(a140)|~hskp6)).
% 0.21/0.50  cnf(i_0_91, negated_conjecture, (c0_1(a146)|~hskp10)).
% 0.21/0.50  cnf(i_0_67, negated_conjecture, (c0_1(a161)|~hskp16)).
% 0.21/0.50  cnf(i_0_61, negated_conjecture, (c0_1(a134)|~hskp17)).
% 0.21/0.50  cnf(i_0_58, negated_conjecture, (c0_1(a138)|~hskp18)).
% 0.21/0.50  cnf(i_0_54, negated_conjecture, (c0_1(a143)|~hskp19)).
% 0.21/0.50  cnf(i_0_37, negated_conjecture, (c0_1(a149)|~hskp23)).
% 0.21/0.50  cnf(i_0_33, negated_conjecture, (c0_1(a150)|~hskp24)).
% 0.21/0.50  cnf(i_0_114, negated_conjecture, (c3_1(a137)|~hskp4)).
% 0.21/0.50  cnf(i_0_102, negated_conjecture, (c3_1(a141)|~hskp7)).
% 0.21/0.50  cnf(i_0_99, negated_conjecture, (c3_1(a142)|~hskp8)).
% 0.21/0.50  cnf(i_0_57, negated_conjecture, (c3_1(a138)|~hskp18)).
% 0.21/0.50  cnf(i_0_49, negated_conjecture, (c3_1(a144)|~hskp20)).
% 0.21/0.50  cnf(i_0_45, negated_conjecture, (c3_1(a147)|~hskp21)).
% 0.21/0.50  cnf(i_0_31, negated_conjecture, (c3_1(a152)|~hskp25)).
% 0.21/0.50  cnf(i_0_22, negated_conjecture, (c3_1(a157)|~hskp27)).
% 0.21/0.50  cnf(i_0_127, negated_conjecture, (c2_1(a133)|~hskp1)).
% 0.21/0.50  cnf(i_0_119, negated_conjecture, (c2_1(a136)|~hskp3)).
% 0.21/0.50  cnf(i_0_111, negated_conjecture, (c2_1(a139)|~hskp5)).
% 0.21/0.50  cnf(i_0_103, negated_conjecture, (c2_1(a141)|~hskp7)).
% 0.21/0.50  cnf(i_0_74, negated_conjecture, (c2_1(a159)|~hskp14)).
% 0.21/0.50  cnf(i_0_66, negated_conjecture, (c2_1(a161)|~hskp16)).
% 0.21/0.50  cnf(i_0_63, negated_conjecture, (c2_1(a134)|~hskp17)).
% 0.21/0.50  cnf(i_0_55, negated_conjecture, (c2_1(a143)|~hskp19)).
% 0.21/0.50  cnf(i_0_50, negated_conjecture, (c2_1(a144)|~hskp20)).
% 0.21/0.50  cnf(i_0_47, negated_conjecture, (c2_1(a147)|~hskp21)).
% 0.21/0.50  cnf(i_0_41, negated_conjecture, (c2_1(a148)|~hskp22)).
% 0.21/0.50  cnf(i_0_29, negated_conjecture, (c2_1(a152)|~hskp25)).
% 0.21/0.50  cnf(i_0_21, negated_conjecture, (c2_1(a157)|~hskp27)).
% 0.21/0.50  cnf(i_0_17, negated_conjecture, (c2_1(a158)|~hskp28)).
% 0.21/0.50  cnf(i_0_14, negated_conjecture, (hskp4|hskp3|~c2_1(X1)|~c3_1(X1)|~c0_1(X1)|~ndr1_0)).
% 0.21/0.50  cnf(i_0_16, negated_conjecture, (c2_1(X1)|hskp1|c0_1(X1)|hskp0|~c3_1(X1)|~ndr1_0)).
% 0.21/0.50  cnf(i_0_15, negated_conjecture, (hskp17|hskp2|c1_1(X1)|~c3_1(X1)|~c0_1(X1)|~ndr1_0)).
% 0.21/0.50  cnf(i_0_1, negated_conjecture, (hskp16|hskp15|c0_1(X1)|~c2_1(X1)|~c3_1(X1)|~ndr1_0)).
% 0.21/0.50  cnf(i_0_11, negated_conjecture, (hskp8|hskp7|c3_1(X1)|~c2_1(X1)|~c1_1(X1)|~ndr1_0)).
% 0.21/0.50  cnf(i_0_9, negated_conjecture, (hskp10|hskp9|c3_1(X1)|~c2_1(X1)|~c1_1(X1)|~ndr1_0)).
% 0.21/0.50  cnf(i_0_2, negated_conjecture, (hskp28|hskp14|c3_1(X1)|c0_1(X1)|~c1_1(X1)|~ndr1_0)).
% 0.21/0.50  cnf(i_0_10, negated_conjecture, (hskp20|hskp19|c0_1(X1)|c1_1(X1)|~c2_1(X1)|~ndr1_0)).
% 0.21/0.50  cnf(i_0_8, negated_conjecture, (c3_1(X1)|c1_1(X2)|~c2_1(X2)|~c2_1(X1)|~c3_1(X2)|~c1_1(X1)|~ndr1_0)).
% 0.21/0.50  cnf(i_0_4, negated_conjecture, (hskp12|c2_1(X1)|c3_1(X2)|~c2_1(X2)|~c3_1(X1)|~c0_1(X2)|~c1_1(X1)|~ndr1_0)).
% 0.21/0.50  cnf(i_0_7, negated_conjecture, (hskp21|c2_1(X1)|c3_1(X2)|c0_1(X1)|c1_1(X2)|~c2_1(X2)|~c1_1(X1)|~ndr1_0)).
% 0.21/0.50  cnf(i_0_12, negated_conjecture, (c2_1(X1)|c2_1(X2)|c0_1(X1)|c0_1(X3)|~c2_1(X3)|~c0_1(X2)|~c1_1(X3)|~c1_1(X2)|~c1_1(X1)|~ndr1_0)).
% 0.21/0.50  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.21/0.50  # Begin printing tableau
% 0.21/0.50  # Found 7 steps
% 0.21/0.50  cnf(i_0_4, negated_conjecture, (hskp12|c2_1(a150)|c3_1(a149)|~c2_1(a149)|~c3_1(a150)|~c0_1(a149)|~c1_1(a150)|~ndr1_0), inference(start_rule)).
% 0.21/0.50  cnf(i_0_151, plain, (hskp12), inference(closure_rule, [i_0_0])).
% 0.21/0.50  cnf(i_0_152, plain, (c2_1(a150)), inference(extension_rule, [i_0_35])).
% 0.21/0.50  cnf(i_0_5989, plain, (~hskp24), inference(extension_rule, [i_0_6])).
% 0.21/0.50  cnf(i_0_6131, plain, (hskp23), inference(extension_rule, [i_0_37])).
% 0.21/0.50  cnf(i_0_6132, plain, (hskp22), inference(extension_rule, [i_0_41])).
% 0.21/0.50  cnf(i_0_153, plain, (c3_1(a149)), inference(extension_rule, [i_0_39])).
% 0.21/0.50  # End printing tableau
% 0.21/0.50  # SZS output end
% 0.21/0.50  # Branches closed with saturation will be marked with an "s"
% 0.21/0.50  # Child (27245) has found a proof.
% 0.21/0.50  
% 0.21/0.50  # Proof search is over...
% 0.21/0.50  # Freeing feature tree
%------------------------------------------------------------------------------