TSTP Solution File: GRP307-1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : GRP307-1 : 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 : n020.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 09:05:54 EDT 2022

% Result   : Unsatisfiable 258.08s 32.79s
% Output   : CNFRefutation 258.08s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : GRP307-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12  % 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 : n020.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 Jun 14 08:29:34 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.36  # No SInE strategy applied
% 0.18/0.36  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.18/0.36  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.18/0.36  #
% 0.18/0.36  # Presaturation interreduction done
% 0.18/0.36  # Number of axioms: 64 Number of unprocessed: 64
% 0.18/0.36  # Tableaux proof search.
% 0.18/0.36  # APR header successfully linked.
% 0.18/0.36  # Hello from C++
% 0.18/0.36  # The folding up rule is enabled...
% 0.18/0.36  # Local unification is enabled...
% 0.18/0.36  # Any saturation attempts will use folding labels...
% 0.18/0.36  # 64 beginning clauses after preprocessing and clausification
% 0.18/0.36  # Creating start rules for all 61 conjectures.
% 0.18/0.36  # There are 61 start rule candidates:
% 0.18/0.36  # Found 3 unit axioms.
% 0.18/0.36  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.18/0.36  # 61 start rule tableaux created.
% 0.18/0.36  # 61 extension rule candidate clauses
% 0.18/0.36  # 3 unit axiom clauses
% 0.18/0.36  
% 0.18/0.36  # Requested 8, 32 cores available to the main process.
% 5.42/1.04  # Creating equality axioms
% 5.42/1.04  # Ran out of tableaux, making start rules for all clauses
% 5.42/1.05  # Creating equality axioms
% 5.42/1.05  # Ran out of tableaux, making start rules for all clauses
% 5.42/1.06  # Creating equality axioms
% 5.42/1.06  # Ran out of tableaux, making start rules for all clauses
% 5.42/1.06  # Creating equality axioms
% 5.42/1.06  # Ran out of tableaux, making start rules for all clauses
% 5.42/1.06  # Creating equality axioms
% 5.42/1.06  # Ran out of tableaux, making start rules for all clauses
% 5.42/1.06  # Creating equality axioms
% 5.42/1.06  # Ran out of tableaux, making start rules for all clauses
% 5.78/1.10  # Creating equality axioms
% 5.78/1.10  # Ran out of tableaux, making start rules for all clauses
% 8.10/1.40  # Creating equality axioms
% 8.10/1.40  # Ran out of tableaux, making start rules for all clauses
% 258.08/32.79  # There were 61 total branch saturation attempts.
% 258.08/32.79  # There were 0 of these attempts blocked.
% 258.08/32.79  # There were 0 deferred branch saturation attempts.
% 258.08/32.79  # There were 0 free duplicated saturations.
% 258.08/32.79  # There were 22 total successful branch saturations.
% 258.08/32.79  # There were 1 successful branch saturations in interreduction.
% 258.08/32.79  # There were 0 successful branch saturations on the branch.
% 258.08/32.79  # There were 21 successful branch saturations after the branch.
% 258.08/32.79  # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 258.08/32.79  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 258.08/32.79  # Begin clausification derivation
% 258.08/32.79  
% 258.08/32.79  # End clausification derivation
% 258.08/32.79  # Begin listing active clauses obtained from FOF to CNF conversion
% 258.08/32.79  cnf(i_0_65, plain, (multiply(identity,X1)=X1)).
% 258.08/32.79  cnf(i_0_66, plain, (multiply(inverse(X1),X1)=identity)).
% 258.08/32.79  cnf(i_0_67, plain, (multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3)))).
% 258.08/32.79  cnf(i_0_79, negated_conjecture, (inverse(sk_c3)=sk_c11|inverse(sk_c11)=sk_c9)).
% 258.08/32.79  cnf(i_0_81, negated_conjecture, (inverse(sk_c4)=sk_c10|inverse(sk_c11)=sk_c9)).
% 258.08/32.79  cnf(i_0_83, negated_conjecture, (inverse(sk_c5)=sk_c8|inverse(sk_c11)=sk_c9)).
% 258.08/32.79  cnf(i_0_85, negated_conjecture, (inverse(sk_c7)=sk_c6|inverse(sk_c11)=sk_c9)).
% 258.08/32.79  cnf(i_0_86, negated_conjecture, (inverse(sk_c6)=sk_c8|inverse(sk_c11)=sk_c9)).
% 258.08/32.79  cnf(i_0_119, negated_conjecture, (inverse(sk_c1)=sk_c11|inverse(sk_c3)=sk_c11)).
% 258.08/32.79  cnf(i_0_121, negated_conjecture, (inverse(sk_c1)=sk_c11|inverse(sk_c4)=sk_c10)).
% 258.08/32.79  cnf(i_0_123, negated_conjecture, (inverse(sk_c1)=sk_c11|inverse(sk_c5)=sk_c8)).
% 258.08/32.79  cnf(i_0_125, negated_conjecture, (inverse(sk_c1)=sk_c11|inverse(sk_c7)=sk_c6)).
% 258.08/32.79  cnf(i_0_126, negated_conjecture, (inverse(sk_c1)=sk_c11|inverse(sk_c6)=sk_c8)).
% 258.08/32.79  cnf(i_0_78, negated_conjecture, (multiply(sk_c3,sk_c11)=sk_c10|inverse(sk_c11)=sk_c9)).
% 258.08/32.79  cnf(i_0_80, negated_conjecture, (multiply(sk_c4,sk_c10)=sk_c9|inverse(sk_c11)=sk_c9)).
% 258.08/32.79  cnf(i_0_82, negated_conjecture, (multiply(sk_c5,sk_c8)=sk_c11|inverse(sk_c11)=sk_c9)).
% 258.08/32.79  cnf(i_0_84, negated_conjecture, (multiply(sk_c8,sk_c10)=sk_c11|inverse(sk_c11)=sk_c9)).
% 258.08/32.79  cnf(i_0_87, negated_conjecture, (multiply(sk_c7,sk_c8)=sk_c6|inverse(sk_c11)=sk_c9)).
% 258.08/32.79  cnf(i_0_69, negated_conjecture, (multiply(sk_c11,sk_c10)=sk_c9|inverse(sk_c3)=sk_c11)).
% 258.08/32.79  cnf(i_0_99, negated_conjecture, (multiply(sk_c11,sk_c2)=sk_c10|inverse(sk_c3)=sk_c11)).
% 258.08/32.79  cnf(i_0_89, negated_conjecture, (multiply(sk_c9,sk_c10)=sk_c11|inverse(sk_c3)=sk_c11)).
% 258.08/32.79  cnf(i_0_109, negated_conjecture, (multiply(sk_c1,sk_c11)=sk_c2|inverse(sk_c3)=sk_c11)).
% 258.08/32.79  cnf(i_0_71, negated_conjecture, (multiply(sk_c11,sk_c10)=sk_c9|inverse(sk_c4)=sk_c10)).
% 258.08/32.79  cnf(i_0_101, negated_conjecture, (multiply(sk_c11,sk_c2)=sk_c10|inverse(sk_c4)=sk_c10)).
% 258.08/32.79  cnf(i_0_91, negated_conjecture, (multiply(sk_c9,sk_c10)=sk_c11|inverse(sk_c4)=sk_c10)).
% 258.08/32.79  cnf(i_0_111, negated_conjecture, (multiply(sk_c1,sk_c11)=sk_c2|inverse(sk_c4)=sk_c10)).
% 258.08/32.79  cnf(i_0_73, negated_conjecture, (multiply(sk_c11,sk_c10)=sk_c9|inverse(sk_c5)=sk_c8)).
% 258.08/32.79  cnf(i_0_103, negated_conjecture, (multiply(sk_c11,sk_c2)=sk_c10|inverse(sk_c5)=sk_c8)).
% 258.08/32.79  cnf(i_0_93, negated_conjecture, (multiply(sk_c9,sk_c10)=sk_c11|inverse(sk_c5)=sk_c8)).
% 258.08/32.79  cnf(i_0_113, negated_conjecture, (multiply(sk_c1,sk_c11)=sk_c2|inverse(sk_c5)=sk_c8)).
% 258.08/32.79  cnf(i_0_75, negated_conjecture, (multiply(sk_c11,sk_c10)=sk_c9|inverse(sk_c7)=sk_c6)).
% 258.08/32.79  cnf(i_0_105, negated_conjecture, (multiply(sk_c11,sk_c2)=sk_c10|inverse(sk_c7)=sk_c6)).
% 258.08/32.79  cnf(i_0_95, negated_conjecture, (multiply(sk_c9,sk_c10)=sk_c11|inverse(sk_c7)=sk_c6)).
% 258.08/32.79  cnf(i_0_115, negated_conjecture, (multiply(sk_c1,sk_c11)=sk_c2|inverse(sk_c7)=sk_c6)).
% 258.08/32.79  cnf(i_0_76, negated_conjecture, (multiply(sk_c11,sk_c10)=sk_c9|inverse(sk_c6)=sk_c8)).
% 258.08/32.79  cnf(i_0_106, negated_conjecture, (multiply(sk_c11,sk_c2)=sk_c10|inverse(sk_c6)=sk_c8)).
% 258.08/32.79  cnf(i_0_96, negated_conjecture, (multiply(sk_c9,sk_c10)=sk_c11|inverse(sk_c6)=sk_c8)).
% 258.08/32.79  cnf(i_0_116, negated_conjecture, (multiply(sk_c1,sk_c11)=sk_c2|inverse(sk_c6)=sk_c8)).
% 258.08/32.79  cnf(i_0_118, negated_conjecture, (multiply(sk_c3,sk_c11)=sk_c10|inverse(sk_c1)=sk_c11)).
% 258.08/32.79  cnf(i_0_120, negated_conjecture, (multiply(sk_c4,sk_c10)=sk_c9|inverse(sk_c1)=sk_c11)).
% 258.08/32.79  cnf(i_0_122, negated_conjecture, (multiply(sk_c5,sk_c8)=sk_c11|inverse(sk_c1)=sk_c11)).
% 258.08/32.79  cnf(i_0_124, negated_conjecture, (multiply(sk_c8,sk_c10)=sk_c11|inverse(sk_c1)=sk_c11)).
% 258.08/32.79  cnf(i_0_127, negated_conjecture, (multiply(sk_c7,sk_c8)=sk_c6|inverse(sk_c1)=sk_c11)).
% 258.08/32.79  cnf(i_0_68, negated_conjecture, (multiply(sk_c3,sk_c11)=sk_c10|multiply(sk_c11,sk_c10)=sk_c9)).
% 258.08/32.79  cnf(i_0_70, negated_conjecture, (multiply(sk_c4,sk_c10)=sk_c9|multiply(sk_c11,sk_c10)=sk_c9)).
% 258.08/32.79  cnf(i_0_72, negated_conjecture, (multiply(sk_c5,sk_c8)=sk_c11|multiply(sk_c11,sk_c10)=sk_c9)).
% 258.08/32.79  cnf(i_0_74, negated_conjecture, (multiply(sk_c8,sk_c10)=sk_c11|multiply(sk_c11,sk_c10)=sk_c9)).
% 258.08/32.79  cnf(i_0_77, negated_conjecture, (multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c11,sk_c10)=sk_c9)).
% 258.08/32.79  cnf(i_0_98, negated_conjecture, (multiply(sk_c3,sk_c11)=sk_c10|multiply(sk_c11,sk_c2)=sk_c10)).
% 258.08/32.79  cnf(i_0_100, negated_conjecture, (multiply(sk_c4,sk_c10)=sk_c9|multiply(sk_c11,sk_c2)=sk_c10)).
% 258.08/32.79  cnf(i_0_102, negated_conjecture, (multiply(sk_c5,sk_c8)=sk_c11|multiply(sk_c11,sk_c2)=sk_c10)).
% 258.08/32.79  cnf(i_0_104, negated_conjecture, (multiply(sk_c8,sk_c10)=sk_c11|multiply(sk_c11,sk_c2)=sk_c10)).
% 258.08/32.79  cnf(i_0_107, negated_conjecture, (multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c11,sk_c2)=sk_c10)).
% 258.08/32.79  cnf(i_0_88, negated_conjecture, (multiply(sk_c3,sk_c11)=sk_c10|multiply(sk_c9,sk_c10)=sk_c11)).
% 258.08/32.79  cnf(i_0_90, negated_conjecture, (multiply(sk_c4,sk_c10)=sk_c9|multiply(sk_c9,sk_c10)=sk_c11)).
% 258.08/32.79  cnf(i_0_92, negated_conjecture, (multiply(sk_c5,sk_c8)=sk_c11|multiply(sk_c9,sk_c10)=sk_c11)).
% 258.08/32.79  cnf(i_0_94, negated_conjecture, (multiply(sk_c8,sk_c10)=sk_c11|multiply(sk_c9,sk_c10)=sk_c11)).
% 258.08/32.79  cnf(i_0_97, negated_conjecture, (multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c9,sk_c10)=sk_c11)).
% 258.08/32.79  cnf(i_0_108, negated_conjecture, (multiply(sk_c1,sk_c11)=sk_c2|multiply(sk_c3,sk_c11)=sk_c10)).
% 258.08/32.79  cnf(i_0_110, negated_conjecture, (multiply(sk_c1,sk_c11)=sk_c2|multiply(sk_c4,sk_c10)=sk_c9)).
% 258.08/32.79  cnf(i_0_112, negated_conjecture, (multiply(sk_c1,sk_c11)=sk_c2|multiply(sk_c5,sk_c8)=sk_c11)).
% 258.08/32.79  cnf(i_0_114, negated_conjecture, (multiply(sk_c1,sk_c11)=sk_c2|multiply(sk_c8,sk_c10)=sk_c11)).
% 258.08/32.79  cnf(i_0_117, negated_conjecture, (multiply(sk_c1,sk_c11)=sk_c2|multiply(sk_c7,sk_c8)=sk_c6)).
% 258.08/32.79  cnf(i_0_128, negated_conjecture, (multiply(sk_c11,multiply(X1,sk_c11))!=sk_c10|inverse(multiply(X2,inverse(X3)))!=inverse(X3)|multiply(inverse(X3),sk_c10)!=sk_c11|multiply(X2,inverse(X3))!=inverse(X2)|multiply(sk_c11,sk_c10)!=sk_c9|multiply(sk_c9,sk_c10)!=sk_c11|multiply(X3,inverse(X3))!=sk_c11|multiply(X4,sk_c10)!=sk_c9|multiply(X5,sk_c11)!=sk_c10|inverse(sk_c11)!=sk_c9|inverse(X4)!=sk_c10|inverse(X5)!=sk_c11|inverse(X1)!=sk_c11)).
% 258.08/32.79  cnf(i_0_2140, plain, (X9=X9)).
% 258.08/32.79  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 258.08/32.79  # Begin printing tableau
% 258.08/32.79  # Found 6 steps
% 258.08/32.79  cnf(i_0_2140, plain, (sk_c1=sk_c1), inference(start_rule)).
% 258.08/32.79  cnf(i_0_2282, plain, (sk_c1=sk_c1), inference(extension_rule, [i_0_2145])).
% 258.08/32.79  cnf(i_0_1660391, plain, (inverse(sk_c1)=inverse(sk_c1)), inference(extension_rule, [i_0_2143])).
% 258.08/32.79  cnf(i_0_2602019, plain, (sk_c11!=inverse(sk_c1)), inference(extension_rule, [i_0_127])).
% 258.08/32.79  cnf(i_0_2602018, plain, (inverse(sk_c1)=sk_c11), inference(etableau_closure_rule, [i_0_2602018, ...])).
% 258.08/32.79  cnf(i_0_2619308, plain, (multiply(sk_c7,sk_c8)=sk_c6), inference(etableau_closure_rule, [i_0_2619308, ...])).
% 258.08/32.79  # End printing tableau
% 258.08/32.79  # SZS output end
% 258.08/32.79  # Branches closed with saturation will be marked with an "s"
% 258.08/32.80  # Child (19508) has found a proof.
% 258.08/32.80  
% 258.08/32.80  # Proof search is over...
% 258.08/32.80  # Freeing feature tree
%------------------------------------------------------------------------------