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 : n007.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   : Satisfiable 0.19s 0.41s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN431-1 : TPTP v8.1.0. Released v2.1.0.
% 0.06/0.12  % 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 : n007.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 07:06:33 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.37  # No SInE strategy applied
% 0.12/0.37  # Auto-Mode selected heuristic G_E___207_C18_F1_AE_CS_SP_PI_PS_S0S
% 0.12/0.37  # and selection function SelectComplexG.
% 0.12/0.37  #
% 0.12/0.37  # Presaturation interreduction done
% 0.12/0.37  # Number of axioms: 132 Number of unprocessed: 132
% 0.12/0.37  # Tableaux proof search.
% 0.12/0.37  # APR header successfully linked.
% 0.12/0.37  # Hello from C++
% 0.12/0.37  # The folding up rule is enabled...
% 0.12/0.37  # Local unification is enabled...
% 0.12/0.37  # Any saturation attempts will use folding labels...
% 0.12/0.37  # 132 beginning clauses after preprocessing and clausification
% 0.12/0.37  # Creating start rules for all 132 conjectures.
% 0.12/0.37  # There are 132 start rule candidates:
% 0.12/0.37  # Found 0 unit axioms.
% 0.12/0.37  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.12/0.37  # 132 start rule tableaux created.
% 0.12/0.37  # 132 extension rule candidate clauses
% 0.12/0.37  # 0 unit axiom clauses
% 0.12/0.37  
% 0.12/0.37  # Requested 8, 32 cores available to the main process.
% 0.19/0.40  # 20628 Satisfiable branch
% 0.19/0.41  # Satisfiable branch found.
% 0.19/0.41  # There were 1 total branch saturation attempts.
% 0.19/0.41  # There were 0 of these attempts blocked.
% 0.19/0.41  # There were 0 deferred branch saturation attempts.
% 0.19/0.41  # There were 0 free duplicated saturations.
% 0.19/0.41  # There were 0 total successful branch saturations.
% 0.19/0.41  # There were 0 successful branch saturations in interreduction.
% 0.19/0.41  # There were 0 successful branch saturations on the branch.
% 0.19/0.41  # There were 0 successful branch saturations after the branch.
% 0.19/0.41  # SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.41  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.41  # Begin clausification derivation
% 0.19/0.41  
% 0.19/0.41  # End clausification derivation
% 0.19/0.41  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.41  cnf(i_0_133, negated_conjecture, (ndr1_0|~hskp28)).
% 0.19/0.41  cnf(i_0_134, negated_conjecture, (ndr1_0|~hskp27)).
% 0.19/0.41  cnf(i_0_135, negated_conjecture, (ndr1_0|~hskp26)).
% 0.19/0.41  cnf(i_0_136, negated_conjecture, (ndr1_0|~hskp25)).
% 0.19/0.41  cnf(i_0_137, negated_conjecture, (ndr1_0|~hskp24)).
% 0.19/0.41  cnf(i_0_138, negated_conjecture, (ndr1_0|~hskp23)).
% 0.19/0.41  cnf(i_0_139, negated_conjecture, (ndr1_0|~hskp22)).
% 0.19/0.41  cnf(i_0_140, negated_conjecture, (ndr1_0|~hskp21)).
% 0.19/0.41  cnf(i_0_141, negated_conjecture, (ndr1_0|~hskp20)).
% 0.19/0.41  cnf(i_0_142, negated_conjecture, (ndr1_0|~hskp19)).
% 0.19/0.41  cnf(i_0_143, negated_conjecture, (ndr1_0|~hskp18)).
% 0.19/0.41  cnf(i_0_144, negated_conjecture, (ndr1_0|~hskp17)).
% 0.19/0.41  cnf(i_0_145, negated_conjecture, (ndr1_0|~hskp16)).
% 0.19/0.41  cnf(i_0_146, negated_conjecture, (ndr1_0|~hskp15)).
% 0.19/0.41  cnf(i_0_147, negated_conjecture, (ndr1_0|~hskp14)).
% 0.19/0.41  cnf(i_0_148, negated_conjecture, (ndr1_0|~hskp13)).
% 0.19/0.41  cnf(i_0_149, negated_conjecture, (ndr1_0|~hskp12)).
% 0.19/0.41  cnf(i_0_150, negated_conjecture, (ndr1_0|~hskp11)).
% 0.19/0.41  cnf(i_0_151, negated_conjecture, (ndr1_0|~hskp10)).
% 0.19/0.41  cnf(i_0_152, negated_conjecture, (ndr1_0|~hskp9)).
% 0.19/0.41  cnf(i_0_153, negated_conjecture, (ndr1_0|~hskp8)).
% 0.19/0.41  cnf(i_0_154, negated_conjecture, (ndr1_0|~hskp7)).
% 0.19/0.41  cnf(i_0_155, negated_conjecture, (ndr1_0|~hskp6)).
% 0.19/0.41  cnf(i_0_156, negated_conjecture, (ndr1_0|~hskp5)).
% 0.19/0.41  cnf(i_0_157, negated_conjecture, (ndr1_0|~hskp4)).
% 0.19/0.41  cnf(i_0_158, negated_conjecture, (ndr1_0|~hskp3)).
% 0.19/0.41  cnf(i_0_159, negated_conjecture, (ndr1_0|~hskp2)).
% 0.19/0.41  cnf(i_0_160, negated_conjecture, (ndr1_0|~hskp1)).
% 0.19/0.41  cnf(i_0_161, negated_conjecture, (ndr1_0|~hskp0)).
% 0.19/0.41  cnf(i_0_210, negated_conjecture, (~c0_1(a158)|~hskp28)).
% 0.19/0.41  cnf(i_0_211, negated_conjecture, (~c1_1(a157)|~hskp27)).
% 0.19/0.41  cnf(i_0_213, negated_conjecture, (~c3_1(a153)|~hskp26)).
% 0.19/0.41  cnf(i_0_212, negated_conjecture, (~c0_1(a153)|~hskp26)).
% 0.19/0.41  cnf(i_0_166, negated_conjecture, (c1_1(a158)|~hskp28)).
% 0.19/0.41  cnf(i_0_214, negated_conjecture, (~c0_1(a152)|~hskp25)).
% 0.19/0.41  cnf(i_0_215, negated_conjecture, (~c2_1(a150)|~hskp24)).
% 0.19/0.41  cnf(i_0_216, negated_conjecture, (~c3_1(a149)|~hskp23)).
% 0.19/0.41  cnf(i_0_217, negated_conjecture, (~c3_1(a148)|~hskp22)).
% 0.19/0.41  cnf(i_0_165, negated_conjecture, (hskp3|hskp13|hskp27)).
% 0.19/0.41  cnf(i_0_170, negated_conjecture, (c1_1(a153)|~hskp26)).
% 0.19/0.41  cnf(i_0_218, negated_conjecture, (~c0_1(a147)|~hskp21)).
% 0.19/0.41  cnf(i_0_219, negated_conjecture, (~c0_1(a144)|~hskp20)).
% 0.19/0.41  cnf(i_0_220, negated_conjecture, (~c2_1(a138)|~hskp18)).
% 0.19/0.41  cnf(i_0_221, negated_conjecture, (~c3_1(a134)|~hskp17)).
% 0.19/0.41  cnf(i_0_173, negated_conjecture, (c1_1(a150)|~hskp24)).
% 0.19/0.41  cnf(i_0_222, negated_conjecture, (~c1_1(a161)|~hskp16)).
% 0.19/0.41  cnf(i_0_223, negated_conjecture, (~c1_1(a160)|~hskp15)).
% 0.19/0.41  cnf(i_0_224, negated_conjecture, (~c2_1(a160)|~hskp15)).
% 0.19/0.41  cnf(i_0_225, negated_conjecture, (~c3_1(a160)|~hskp15)).
% 0.19/0.41  cnf(i_0_164, negated_conjecture, (hskp11|hskp25|hskp26)).
% 0.19/0.41  cnf(i_0_175, negated_conjecture, (c1_1(a149)|~hskp23)).
% 0.19/0.41  cnf(i_0_226, negated_conjecture, (~c3_1(a159)|~hskp14)).
% 0.19/0.41  cnf(i_0_227, negated_conjecture, (~c3_1(a156)|~hskp13)).
% 0.19/0.41  cnf(i_0_228, negated_conjecture, (~c0_1(a156)|~hskp13)).
% 0.19/0.41  cnf(i_0_231, negated_conjecture, (~c1_1(a154)|~hskp12)).
% 0.19/0.41  cnf(i_0_177, negated_conjecture, (c1_1(a148)|~hskp22)).
% 0.19/0.41  cnf(i_0_229, negated_conjecture, (~c2_1(a154)|~hskp12)).
% 0.19/0.41  cnf(i_0_230, negated_conjecture, (~c3_1(a154)|~hskp12)).
% 0.19/0.41  cnf(i_0_232, negated_conjecture, (~c3_1(a151)|~hskp11)).
% 0.19/0.41  cnf(i_0_233, negated_conjecture, (~c0_1(a151)|~hskp11)).
% 0.19/0.41  cnf(i_0_163, negated_conjecture, (hskp22|hskp23|hskp24)).
% 0.19/0.41  cnf(i_0_185, negated_conjecture, (c1_1(a143)|~hskp19)).
% 0.19/0.41  cnf(i_0_235, negated_conjecture, (~c1_1(a146)|~hskp10)).
% 0.19/0.41  cnf(i_0_234, negated_conjecture, (~c2_1(a146)|~hskp10)).
% 0.19/0.41  cnf(i_0_236, negated_conjecture, (~c2_1(a145)|~hskp9)).
% 0.19/0.41  cnf(i_0_238, negated_conjecture, (~c3_1(a145)|~hskp9)).
% 0.19/0.41  cnf(i_0_192, negated_conjecture, (c1_1(a159)|~hskp14)).
% 0.19/0.41  cnf(i_0_237, negated_conjecture, (~c0_1(a145)|~hskp9)).
% 0.19/0.41  cnf(i_0_239, negated_conjecture, (~c0_1(a142)|~hskp8)).
% 0.19/0.41  cnf(i_0_240, negated_conjecture, (~c1_1(a141)|~hskp7)).
% 0.19/0.41  cnf(i_0_241, negated_conjecture, (~c3_1(a140)|~hskp6)).
% 0.19/0.41  cnf(i_0_162, negated_conjecture, (hskp5|hskp6|hskp18)).
% 0.19/0.41  cnf(i_0_194, negated_conjecture, (c1_1(a156)|~hskp13)).
% 0.19/0.41  cnf(i_0_242, negated_conjecture, (~c1_1(a139)|~hskp5)).
% 0.19/0.41  cnf(i_0_243, negated_conjecture, (~c2_1(a137)|~hskp4)).
% 0.19/0.41  cnf(i_0_245, negated_conjecture, (~c3_1(a136)|~hskp3)).
% 0.19/0.41  cnf(i_0_244, negated_conjecture, (~c0_1(a136)|~hskp3)).
% 0.19/0.41  cnf(i_0_195, negated_conjecture, (c1_1(a151)|~hskp11)).
% 0.19/0.41  cnf(i_0_246, negated_conjecture, (~c2_1(a135)|~hskp2)).
% 0.19/0.41  cnf(i_0_247, negated_conjecture, (~c0_1(a135)|~hskp2)).
% 0.19/0.41  cnf(i_0_248, negated_conjecture, (~c1_1(a133)|~hskp1)).
% 0.19/0.41  cnf(i_0_249, negated_conjecture, (~c0_1(a133)|~hskp1)).
% 0.19/0.41  cnf(i_0_198, negated_conjecture, (c1_1(a142)|~hskp8)).
% 0.19/0.41  cnf(i_0_201, negated_conjecture, (c1_1(a140)|~hskp6)).
% 0.19/0.41  cnf(i_0_250, negated_conjecture, (~c1_1(a132)|~hskp0)).
% 0.19/0.41  cnf(i_0_252, negated_conjecture, (~c3_1(a132)|~hskp0)).
% 0.19/0.41  cnf(i_0_251, negated_conjecture, (~c0_1(a132)|~hskp0)).
% 0.19/0.41  cnf(i_0_205, negated_conjecture, (c1_1(a137)|~hskp4)).
% 0.19/0.41  cnf(i_0_208, negated_conjecture, (c1_1(a135)|~hskp2)).
% 0.19/0.41  cnf(i_0_167, negated_conjecture, (c2_1(a158)|~hskp28)).
% 0.19/0.41  cnf(i_0_169, negated_conjecture, (c2_1(a157)|~hskp27)).
% 0.19/0.41  cnf(i_0_172, negated_conjecture, (c2_1(a152)|~hskp25)).
% 0.19/0.41  cnf(i_0_178, negated_conjecture, (c2_1(a148)|~hskp22)).
% 0.19/0.41  cnf(i_0_179, negated_conjecture, (c2_1(a147)|~hskp21)).
% 0.19/0.41  cnf(i_0_181, negated_conjecture, (c2_1(a144)|~hskp20)).
% 0.19/0.41  cnf(i_0_183, negated_conjecture, (c2_1(a143)|~hskp19)).
% 0.19/0.41  cnf(i_0_188, negated_conjecture, (c2_1(a134)|~hskp17)).
% 0.19/0.41  cnf(i_0_191, negated_conjecture, (c2_1(a161)|~hskp16)).
% 0.19/0.41  cnf(i_0_193, negated_conjecture, (c2_1(a159)|~hskp14)).
% 0.19/0.41  cnf(i_0_199, negated_conjecture, (c2_1(a141)|~hskp7)).
% 0.19/0.41  cnf(i_0_203, negated_conjecture, (c2_1(a139)|~hskp5)).
% 0.19/0.41  cnf(i_0_207, negated_conjecture, (c2_1(a136)|~hskp3)).
% 0.19/0.41  cnf(i_0_209, negated_conjecture, (c2_1(a133)|~hskp1)).
% 0.19/0.41  cnf(i_0_168, negated_conjecture, (c3_1(a157)|~hskp27)).
% 0.19/0.41  cnf(i_0_171, negated_conjecture, (c3_1(a152)|~hskp25)).
% 0.19/0.41  cnf(i_0_180, negated_conjecture, (c3_1(a147)|~hskp21)).
% 0.19/0.41  cnf(i_0_182, negated_conjecture, (c3_1(a144)|~hskp20)).
% 0.19/0.41  cnf(i_0_187, negated_conjecture, (c3_1(a138)|~hskp18)).
% 0.19/0.41  cnf(i_0_197, negated_conjecture, (c3_1(a142)|~hskp8)).
% 0.19/0.41  cnf(i_0_200, negated_conjecture, (c3_1(a141)|~hskp7)).
% 0.19/0.41  cnf(i_0_206, negated_conjecture, (c3_1(a137)|~hskp4)).
% 0.19/0.41  cnf(i_0_174, negated_conjecture, (c0_1(a150)|~hskp24)).
% 0.19/0.41  cnf(i_0_176, negated_conjecture, (c0_1(a149)|~hskp23)).
% 0.19/0.41  cnf(i_0_184, negated_conjecture, (c0_1(a143)|~hskp19)).
% 0.19/0.41  cnf(i_0_186, negated_conjecture, (c0_1(a138)|~hskp18)).
% 0.19/0.41  cnf(i_0_189, negated_conjecture, (c0_1(a134)|~hskp17)).
% 0.19/0.41  cnf(i_0_190, negated_conjecture, (c0_1(a161)|~hskp16)).
% 0.19/0.41  cnf(i_0_196, negated_conjecture, (c0_1(a146)|~hskp10)).
% 0.19/0.41  cnf(i_0_202, negated_conjecture, (c0_1(a140)|~hskp6)).
% 0.19/0.41  cnf(i_0_204, negated_conjecture, (c0_1(a139)|~hskp5)).
% 0.19/0.41  cnf(i_0_260, negated_conjecture, (hskp3|hskp4|~c0_1(X1)|~c3_1(X1)|~c2_1(X1)|~ndr1_0)).
% 0.19/0.41  cnf(i_0_255, negated_conjecture, (c0_1(X1)|c3_1(X1)|hskp14|hskp28|~c1_1(X1)|~ndr1_0)).
% 0.19/0.41  cnf(i_0_256, negated_conjecture, (c1_1(X1)|hskp2|hskp17|~c0_1(X1)|~c3_1(X1)|~ndr1_0)).
% 0.19/0.41  cnf(i_0_259, negated_conjecture, (c0_1(X1)|hskp15|hskp16|~c3_1(X1)|~c2_1(X1)|~ndr1_0)).
% 0.19/0.41  cnf(i_0_258, negated_conjecture, (c3_1(X1)|hskp9|hskp10|~c2_1(X1)|~c1_1(X1)|~ndr1_0)).
% 0.19/0.41  cnf(i_0_257, negated_conjecture, (c3_1(X1)|hskp7|hskp8|~c2_1(X1)|~c1_1(X1)|~ndr1_0)).
% 0.19/0.41  cnf(i_0_254, negated_conjecture, (c0_1(X1)|c1_1(X1)|hskp19|hskp20|~c2_1(X1)|~ndr1_0)).
% 0.19/0.41  cnf(i_0_253, negated_conjecture, (c0_1(X1)|c2_1(X1)|hskp0|hskp1|~c3_1(X1)|~ndr1_0)).
% 0.19/0.41  cnf(i_0_262, negated_conjecture, (c3_1(X1)|c1_1(X2)|~c3_1(X2)|~c2_1(X1)|~c2_1(X2)|~c1_1(X1)|~ndr1_0)).
% 0.19/0.41  cnf(i_0_263, negated_conjecture, (c3_1(X1)|c2_1(X2)|hskp12|~c0_1(X1)|~c3_1(X2)|~c2_1(X1)|~c1_1(X2)|~ndr1_0)).
% 0.19/0.41  cnf(i_0_261, negated_conjecture, (c0_1(X1)|c3_1(X2)|c2_1(X1)|c1_1(X2)|hskp21|~c2_1(X2)|~c1_1(X1)|~ndr1_0)).
% 0.19/0.41  cnf(i_0_264, negated_conjecture, (c0_1(X1)|c0_1(X2)|c2_1(X3)|c2_1(X2)|~c0_1(X3)|~c2_1(X1)|~c1_1(X2)|~c1_1(X3)|~c1_1(X1)|~ndr1_0)).
% 0.19/0.41  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.19/0.41  # Begin printing tableau
% 0.19/0.41  # Found 4 steps
% 0.19/0.41  cnf(i_0_257, negated_conjecture, (c3_1(a132)|hskp7|hskp8|~c2_1(a132)|~c1_1(a132)|~ndr1_0), inference(start_rule)).
% 0.19/0.41  cnf(i_0_310, plain, (c3_1(a132)), inference(extension_rule, [i_0_252])).
% 0.19/0.41  cnf(i_0_740, plain, (~hskp0), inference(extension_rule, [i_0_253])).
% 0.19/0.41  cnf(i_0_778, plain, (~c3_1(a132)), inference(closure_rule, [i_0_310])).
% 0.19/0.41  # End printing tableau
% 0.19/0.41  # SZS output end
% 0.19/0.41  # Branches closed with saturation will be marked with an "s"
% 0.19/0.42  # Child (20628) has found a proof.
% 0.19/0.42  
% 0.19/0.43  # Proof search is over...
% 0.19/0.43  # Freeing feature tree
%------------------------------------------------------------------------------