TSTP Solution File: GRP318-1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : GRP318-1 : TPTP v8.1.0. Released v2.5.0.
% 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 : n009.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 : Sat Jul 16 09:05:57 EDT 2022

% Result   : Unsatisfiable 75.46s 9.87s
% Output   : CNFRefutation 75.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : GRP318-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.12  % 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 : n009.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 : Mon Jun 13 11:44:08 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: 64 Number of unprocessed: 64
% 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  # 64 beginning clauses after preprocessing and clausification
% 0.12/0.36  # Creating start rules for all 61 conjectures.
% 0.12/0.36  # There are 61 start rule candidates:
% 0.12/0.36  # Found 3 unit axioms.
% 0.12/0.36  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.12/0.36  # 61 start rule tableaux created.
% 0.12/0.36  # 61 extension rule candidate clauses
% 0.12/0.36  # 3 unit axiom clauses
% 0.12/0.36  
% 0.12/0.36  # Requested 8, 32 cores available to the main process.
% 3.38/0.79  # Creating equality axioms
% 3.38/0.79  # Ran out of tableaux, making start rules for all clauses
% 3.58/0.81  # Creating equality axioms
% 3.58/0.81  # Ran out of tableaux, making start rules for all clauses
% 3.58/0.81  # Creating equality axioms
% 3.58/0.81  # Ran out of tableaux, making start rules for all clauses
% 3.58/0.81  # Creating equality axioms
% 3.58/0.81  # Ran out of tableaux, making start rules for all clauses
% 3.58/0.81  # Creating equality axioms
% 3.58/0.81  # Ran out of tableaux, making start rules for all clauses
% 3.58/0.82  # Creating equality axioms
% 3.58/0.82  # Ran out of tableaux, making start rules for all clauses
% 3.80/0.83  # Creating equality axioms
% 3.80/0.83  # Ran out of tableaux, making start rules for all clauses
% 4.58/0.96  # Creating equality axioms
% 4.58/0.96  # Ran out of tableaux, making start rules for all clauses
% 75.46/9.87  # There were 20 total branch saturation attempts.
% 75.46/9.87  # There were 0 of these attempts blocked.
% 75.46/9.87  # There were 0 deferred branch saturation attempts.
% 75.46/9.87  # There were 0 free duplicated saturations.
% 75.46/9.87  # There were 7 total successful branch saturations.
% 75.46/9.87  # There were 0 successful branch saturations in interreduction.
% 75.46/9.87  # There were 0 successful branch saturations on the branch.
% 75.46/9.87  # There were 7 successful branch saturations after the branch.
% 75.46/9.87  # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 75.46/9.87  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 75.46/9.87  # Begin clausification derivation
% 75.46/9.87  
% 75.46/9.87  # End clausification derivation
% 75.46/9.87  # Begin listing active clauses obtained from FOF to CNF conversion
% 75.46/9.87  cnf(i_0_65, plain, (multiply(identity,X1)=X1)).
% 75.46/9.87  cnf(i_0_66, plain, (multiply(inverse(X1),X1)=identity)).
% 75.46/9.87  cnf(i_0_67, plain, (multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3)))).
% 75.46/9.87  cnf(i_0_89, negated_conjecture, (inverse(sk_c1)=sk_c11|inverse(sk_c4)=sk_c12)).
% 75.46/9.87  cnf(i_0_119, negated_conjecture, (inverse(sk_c2)=sk_c12|inverse(sk_c4)=sk_c12)).
% 75.46/9.87  cnf(i_0_91, negated_conjecture, (inverse(sk_c1)=sk_c11|inverse(sk_c5)=sk_c11)).
% 75.46/9.87  cnf(i_0_121, negated_conjecture, (inverse(sk_c2)=sk_c12|inverse(sk_c5)=sk_c11)).
% 75.46/9.87  cnf(i_0_93, negated_conjecture, (inverse(sk_c1)=sk_c11|inverse(sk_c6)=sk_c9)).
% 75.46/9.87  cnf(i_0_123, negated_conjecture, (inverse(sk_c2)=sk_c12|inverse(sk_c6)=sk_c9)).
% 75.46/9.87  cnf(i_0_95, negated_conjecture, (inverse(sk_c1)=sk_c11|inverse(sk_c8)=sk_c7)).
% 75.46/9.87  cnf(i_0_125, negated_conjecture, (inverse(sk_c2)=sk_c12|inverse(sk_c8)=sk_c7)).
% 75.46/9.87  cnf(i_0_96, negated_conjecture, (inverse(sk_c1)=sk_c11|inverse(sk_c7)=sk_c9)).
% 75.46/9.87  cnf(i_0_126, negated_conjecture, (inverse(sk_c2)=sk_c12|inverse(sk_c7)=sk_c9)).
% 75.46/9.87  cnf(i_0_69, negated_conjecture, (multiply(sk_c11,sk_c12)=sk_c10|inverse(sk_c4)=sk_c12)).
% 75.46/9.87  cnf(i_0_99, negated_conjecture, (multiply(sk_c12,sk_c3)=sk_c11|inverse(sk_c4)=sk_c12)).
% 75.46/9.87  cnf(i_0_79, negated_conjecture, (multiply(sk_c1,sk_c11)=sk_c12|inverse(sk_c4)=sk_c12)).
% 75.46/9.87  cnf(i_0_109, negated_conjecture, (multiply(sk_c2,sk_c12)=sk_c3|inverse(sk_c4)=sk_c12)).
% 75.46/9.87  cnf(i_0_71, negated_conjecture, (multiply(sk_c11,sk_c12)=sk_c10|inverse(sk_c5)=sk_c11)).
% 75.46/9.87  cnf(i_0_101, negated_conjecture, (multiply(sk_c12,sk_c3)=sk_c11|inverse(sk_c5)=sk_c11)).
% 75.46/9.87  cnf(i_0_81, negated_conjecture, (multiply(sk_c1,sk_c11)=sk_c12|inverse(sk_c5)=sk_c11)).
% 75.46/9.87  cnf(i_0_111, negated_conjecture, (multiply(sk_c2,sk_c12)=sk_c3|inverse(sk_c5)=sk_c11)).
% 75.46/9.87  cnf(i_0_73, negated_conjecture, (multiply(sk_c11,sk_c12)=sk_c10|inverse(sk_c6)=sk_c9)).
% 75.46/9.87  cnf(i_0_103, negated_conjecture, (multiply(sk_c12,sk_c3)=sk_c11|inverse(sk_c6)=sk_c9)).
% 75.46/9.87  cnf(i_0_83, negated_conjecture, (multiply(sk_c1,sk_c11)=sk_c12|inverse(sk_c6)=sk_c9)).
% 75.46/9.87  cnf(i_0_113, negated_conjecture, (multiply(sk_c2,sk_c12)=sk_c3|inverse(sk_c6)=sk_c9)).
% 75.46/9.87  cnf(i_0_75, negated_conjecture, (multiply(sk_c11,sk_c12)=sk_c10|inverse(sk_c8)=sk_c7)).
% 75.46/9.87  cnf(i_0_105, negated_conjecture, (multiply(sk_c12,sk_c3)=sk_c11|inverse(sk_c8)=sk_c7)).
% 75.46/9.87  cnf(i_0_85, negated_conjecture, (multiply(sk_c1,sk_c11)=sk_c12|inverse(sk_c8)=sk_c7)).
% 75.46/9.87  cnf(i_0_115, negated_conjecture, (multiply(sk_c2,sk_c12)=sk_c3|inverse(sk_c8)=sk_c7)).
% 75.46/9.87  cnf(i_0_76, negated_conjecture, (multiply(sk_c11,sk_c12)=sk_c10|inverse(sk_c7)=sk_c9)).
% 75.46/9.87  cnf(i_0_106, negated_conjecture, (multiply(sk_c12,sk_c3)=sk_c11|inverse(sk_c7)=sk_c9)).
% 75.46/9.87  cnf(i_0_86, negated_conjecture, (multiply(sk_c1,sk_c11)=sk_c12|inverse(sk_c7)=sk_c9)).
% 75.46/9.87  cnf(i_0_116, negated_conjecture, (multiply(sk_c2,sk_c12)=sk_c3|inverse(sk_c7)=sk_c9)).
% 75.46/9.87  cnf(i_0_88, negated_conjecture, (multiply(sk_c4,sk_c12)=sk_c11|inverse(sk_c1)=sk_c11)).
% 75.46/9.87  cnf(i_0_90, negated_conjecture, (multiply(sk_c5,sk_c11)=sk_c10|inverse(sk_c1)=sk_c11)).
% 75.46/9.87  cnf(i_0_92, negated_conjecture, (multiply(sk_c6,sk_c9)=sk_c12|inverse(sk_c1)=sk_c11)).
% 75.46/9.87  cnf(i_0_94, negated_conjecture, (multiply(sk_c9,sk_c11)=sk_c12|inverse(sk_c1)=sk_c11)).
% 75.46/9.87  cnf(i_0_97, negated_conjecture, (multiply(sk_c8,sk_c9)=sk_c7|inverse(sk_c1)=sk_c11)).
% 75.46/9.87  cnf(i_0_118, negated_conjecture, (multiply(sk_c4,sk_c12)=sk_c11|inverse(sk_c2)=sk_c12)).
% 75.46/9.87  cnf(i_0_120, negated_conjecture, (multiply(sk_c5,sk_c11)=sk_c10|inverse(sk_c2)=sk_c12)).
% 75.46/9.87  cnf(i_0_122, negated_conjecture, (multiply(sk_c6,sk_c9)=sk_c12|inverse(sk_c2)=sk_c12)).
% 75.46/9.87  cnf(i_0_124, negated_conjecture, (multiply(sk_c9,sk_c11)=sk_c12|inverse(sk_c2)=sk_c12)).
% 75.46/9.87  cnf(i_0_127, negated_conjecture, (multiply(sk_c8,sk_c9)=sk_c7|inverse(sk_c2)=sk_c12)).
% 75.46/9.87  cnf(i_0_68, negated_conjecture, (multiply(sk_c4,sk_c12)=sk_c11|multiply(sk_c11,sk_c12)=sk_c10)).
% 75.46/9.87  cnf(i_0_70, negated_conjecture, (multiply(sk_c5,sk_c11)=sk_c10|multiply(sk_c11,sk_c12)=sk_c10)).
% 75.46/9.87  cnf(i_0_72, negated_conjecture, (multiply(sk_c6,sk_c9)=sk_c12|multiply(sk_c11,sk_c12)=sk_c10)).
% 75.46/9.87  cnf(i_0_74, negated_conjecture, (multiply(sk_c9,sk_c11)=sk_c12|multiply(sk_c11,sk_c12)=sk_c10)).
% 75.46/9.87  cnf(i_0_77, negated_conjecture, (multiply(sk_c8,sk_c9)=sk_c7|multiply(sk_c11,sk_c12)=sk_c10)).
% 75.46/9.87  cnf(i_0_98, negated_conjecture, (multiply(sk_c4,sk_c12)=sk_c11|multiply(sk_c12,sk_c3)=sk_c11)).
% 75.46/9.87  cnf(i_0_100, negated_conjecture, (multiply(sk_c5,sk_c11)=sk_c10|multiply(sk_c12,sk_c3)=sk_c11)).
% 75.46/9.87  cnf(i_0_102, negated_conjecture, (multiply(sk_c6,sk_c9)=sk_c12|multiply(sk_c12,sk_c3)=sk_c11)).
% 75.46/9.87  cnf(i_0_104, negated_conjecture, (multiply(sk_c9,sk_c11)=sk_c12|multiply(sk_c12,sk_c3)=sk_c11)).
% 75.46/9.87  cnf(i_0_107, negated_conjecture, (multiply(sk_c8,sk_c9)=sk_c7|multiply(sk_c12,sk_c3)=sk_c11)).
% 75.46/9.87  cnf(i_0_78, negated_conjecture, (multiply(sk_c1,sk_c11)=sk_c12|multiply(sk_c4,sk_c12)=sk_c11)).
% 75.46/9.87  cnf(i_0_108, negated_conjecture, (multiply(sk_c2,sk_c12)=sk_c3|multiply(sk_c4,sk_c12)=sk_c11)).
% 75.46/9.87  cnf(i_0_80, negated_conjecture, (multiply(sk_c1,sk_c11)=sk_c12|multiply(sk_c5,sk_c11)=sk_c10)).
% 75.46/9.87  cnf(i_0_110, negated_conjecture, (multiply(sk_c2,sk_c12)=sk_c3|multiply(sk_c5,sk_c11)=sk_c10)).
% 75.46/9.87  cnf(i_0_82, negated_conjecture, (multiply(sk_c1,sk_c11)=sk_c12|multiply(sk_c6,sk_c9)=sk_c12)).
% 75.46/9.87  cnf(i_0_112, negated_conjecture, (multiply(sk_c2,sk_c12)=sk_c3|multiply(sk_c6,sk_c9)=sk_c12)).
% 75.46/9.87  cnf(i_0_84, negated_conjecture, (multiply(sk_c1,sk_c11)=sk_c12|multiply(sk_c9,sk_c11)=sk_c12)).
% 75.46/9.87  cnf(i_0_114, negated_conjecture, (multiply(sk_c2,sk_c12)=sk_c3|multiply(sk_c9,sk_c11)=sk_c12)).
% 75.46/9.87  cnf(i_0_87, negated_conjecture, (multiply(sk_c1,sk_c11)=sk_c12|multiply(sk_c8,sk_c9)=sk_c7)).
% 75.46/9.87  cnf(i_0_117, negated_conjecture, (multiply(sk_c2,sk_c12)=sk_c3|multiply(sk_c8,sk_c9)=sk_c7)).
% 75.46/9.87  cnf(i_0_128, negated_conjecture, (multiply(sk_c12,multiply(X1,sk_c12))!=sk_c11|inverse(multiply(X2,inverse(X3)))!=inverse(X3)|multiply(inverse(X3),sk_c11)!=sk_c12|multiply(X2,inverse(X3))!=inverse(X2)|multiply(sk_c11,sk_c12)!=sk_c10|multiply(X3,inverse(X3))!=sk_c12|multiply(X4,sk_c11)!=sk_c10|multiply(X5,sk_c12)!=sk_c11|multiply(X6,sk_c11)!=sk_c12|inverse(X4)!=sk_c11|inverse(X5)!=sk_c12|inverse(X1)!=sk_c12|inverse(X6)!=sk_c11)).
% 75.46/9.87  cnf(i_0_2539, plain, (X10=X10)).
% 75.46/9.87  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 75.46/9.87  # Begin printing tableau
% 75.46/9.87  # Found 8 steps
% 75.46/9.87  cnf(i_0_2539, plain, (X2=X2), inference(start_rule)).
% 75.46/9.87  cnf(i_0_2681, plain, (X2=X2), inference(extension_rule, [i_0_2543])).
% 75.46/9.87  cnf(i_0_2824, plain, (multiply(identity,X4)!=X4), inference(closure_rule, [i_0_65])).
% 75.46/9.87  cnf(i_0_2822, plain, (multiply(X2,multiply(identity,X4))=multiply(X2,X4)), inference(extension_rule, [i_0_2543])).
% 75.46/9.87  cnf(i_0_649012, plain, (multiply(identity,X6)!=X6), inference(closure_rule, [i_0_65])).
% 75.46/9.87  cnf(i_0_649010, plain, (multiply(multiply(X2,multiply(identity,X4)),multiply(identity,X6))=multiply(multiply(X2,X4),X6)), inference(extension_rule, [i_0_2543])).
% 75.46/9.87  cnf(i_0_863816, plain, (multiply(identity,X7)!=X7), inference(closure_rule, [i_0_65])).
% 75.46/9.87  cnf(i_0_863814, plain, (multiply(multiply(multiply(X2,multiply(identity,X4)),multiply(identity,X6)),multiply(identity,X7))=multiply(multiply(multiply(X2,X4),X6),X7)), inference(etableau_closure_rule, [i_0_863814, ...])).
% 75.46/9.87  # End printing tableau
% 75.46/9.87  # SZS output end
% 75.46/9.87  # Branches closed with saturation will be marked with an "s"
% 75.46/9.88  # Child (14087) has found a proof.
% 75.46/9.88  
% 75.46/9.88  # Proof search is over...
% 75.46/9.88  # Freeing feature tree
%------------------------------------------------------------------------------