TSTP Solution File: GRP217-1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : GRP217-1 : 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 : 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 : Sat Jul 16 09:05:30 EDT 2022

% Result   : Unsatisfiable 2.60s 0.73s
% Output   : CNFRefutation 2.60s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : GRP217-1 : TPTP v8.1.0. Released v2.5.0.
% 0.08/0.15  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.14/0.37  % Computer : n005.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit : 300
% 0.14/0.37  % WCLimit  : 600
% 0.14/0.37  % DateTime : Mon Jun 13 21:32:39 EDT 2022
% 0.14/0.37  % CPUTime  : 
% 0.14/0.40  # No SInE strategy applied
% 0.14/0.40  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.14/0.40  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.14/0.40  #
% 0.14/0.40  # Presaturation interreduction done
% 0.14/0.40  # Number of axioms: 52 Number of unprocessed: 52
% 0.14/0.40  # Tableaux proof search.
% 0.14/0.40  # APR header successfully linked.
% 0.14/0.40  # Hello from C++
% 0.14/0.40  # The folding up rule is enabled...
% 0.14/0.40  # Local unification is enabled...
% 0.14/0.40  # Any saturation attempts will use folding labels...
% 0.14/0.40  # 52 beginning clauses after preprocessing and clausification
% 0.14/0.40  # Creating start rules for all 49 conjectures.
% 0.14/0.40  # There are 49 start rule candidates:
% 0.14/0.40  # Found 3 unit axioms.
% 0.14/0.40  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.14/0.40  # 49 start rule tableaux created.
% 0.14/0.40  # 49 extension rule candidate clauses
% 0.14/0.40  # 3 unit axiom clauses
% 0.14/0.40  
% 0.14/0.40  # Requested 8, 32 cores available to the main process.
% 2.60/0.71  # Creating equality axioms
% 2.60/0.71  # Ran out of tableaux, making start rules for all clauses
% 2.60/0.73  # There were 1 total branch saturation attempts.
% 2.60/0.73  # There were 0 of these attempts blocked.
% 2.60/0.73  # There were 0 deferred branch saturation attempts.
% 2.60/0.73  # There were 0 free duplicated saturations.
% 2.60/0.73  # There were 1 total successful branch saturations.
% 2.60/0.73  # There were 0 successful branch saturations in interreduction.
% 2.60/0.73  # There were 0 successful branch saturations on the branch.
% 2.60/0.73  # There were 1 successful branch saturations after the branch.
% 2.60/0.73  # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.60/0.73  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.60/0.73  # Begin clausification derivation
% 2.60/0.73  
% 2.60/0.73  # End clausification derivation
% 2.60/0.73  # Begin listing active clauses obtained from FOF to CNF conversion
% 2.60/0.73  cnf(i_0_53, plain, (multiply(identity,X1)=X1)).
% 2.60/0.73  cnf(i_0_54, plain, (multiply(inverse(X1),X1)=identity)).
% 2.60/0.73  cnf(i_0_55, plain, (multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3)))).
% 2.60/0.73  cnf(i_0_57, negated_conjecture, (inverse(sk_c6)=sk_c7|inverse(sk_c1)=sk_c11)).
% 2.60/0.73  cnf(i_0_61, negated_conjecture, (inverse(sk_c8)=sk_c11|inverse(sk_c1)=sk_c11)).
% 2.60/0.73  cnf(i_0_75, negated_conjecture, (inverse(sk_c2)=sk_c3|inverse(sk_c6)=sk_c7)).
% 2.60/0.73  cnf(i_0_99, negated_conjecture, (inverse(sk_c4)=sk_c11|inverse(sk_c6)=sk_c7)).
% 2.60/0.73  cnf(i_0_79, negated_conjecture, (inverse(sk_c2)=sk_c3|inverse(sk_c8)=sk_c11)).
% 2.60/0.73  cnf(i_0_103, negated_conjecture, (inverse(sk_c4)=sk_c11|inverse(sk_c8)=sk_c11)).
% 2.60/0.73  cnf(i_0_59, negated_conjecture, (multiply(sk_c11,sk_c9)=sk_c10|inverse(sk_c1)=sk_c11)).
% 2.60/0.73  cnf(i_0_56, negated_conjecture, (multiply(sk_c6,sk_c7)=sk_c11|inverse(sk_c1)=sk_c11)).
% 2.60/0.73  cnf(i_0_58, negated_conjecture, (multiply(sk_c7,sk_c10)=sk_c11|inverse(sk_c1)=sk_c11)).
% 2.60/0.73  cnf(i_0_60, negated_conjecture, (multiply(sk_c8,sk_c11)=sk_c9|inverse(sk_c1)=sk_c11)).
% 2.60/0.73  cnf(i_0_63, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|inverse(sk_c6)=sk_c7)).
% 2.60/0.73  cnf(i_0_87, negated_conjecture, (multiply(sk_c11,sk_c5)=sk_c10|inverse(sk_c6)=sk_c7)).
% 2.60/0.73  cnf(i_0_69, negated_conjecture, (multiply(sk_c2,sk_c3)=sk_c10|inverse(sk_c6)=sk_c7)).
% 2.60/0.73  cnf(i_0_81, negated_conjecture, (multiply(sk_c3,sk_c11)=sk_c10|inverse(sk_c6)=sk_c7)).
% 2.60/0.73  cnf(i_0_93, negated_conjecture, (multiply(sk_c4,sk_c11)=sk_c5|inverse(sk_c6)=sk_c7)).
% 2.60/0.73  cnf(i_0_67, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|inverse(sk_c8)=sk_c11)).
% 2.60/0.73  cnf(i_0_91, negated_conjecture, (multiply(sk_c11,sk_c5)=sk_c10|inverse(sk_c8)=sk_c11)).
% 2.60/0.73  cnf(i_0_73, negated_conjecture, (multiply(sk_c2,sk_c3)=sk_c10|inverse(sk_c8)=sk_c11)).
% 2.60/0.73  cnf(i_0_85, negated_conjecture, (multiply(sk_c3,sk_c11)=sk_c10|inverse(sk_c8)=sk_c11)).
% 2.60/0.73  cnf(i_0_97, negated_conjecture, (multiply(sk_c4,sk_c11)=sk_c5|inverse(sk_c8)=sk_c11)).
% 2.60/0.73  cnf(i_0_77, negated_conjecture, (multiply(sk_c11,sk_c9)=sk_c10|inverse(sk_c2)=sk_c3)).
% 2.60/0.73  cnf(i_0_74, negated_conjecture, (multiply(sk_c6,sk_c7)=sk_c11|inverse(sk_c2)=sk_c3)).
% 2.60/0.73  cnf(i_0_76, negated_conjecture, (multiply(sk_c7,sk_c10)=sk_c11|inverse(sk_c2)=sk_c3)).
% 2.60/0.73  cnf(i_0_78, negated_conjecture, (multiply(sk_c8,sk_c11)=sk_c9|inverse(sk_c2)=sk_c3)).
% 2.60/0.73  cnf(i_0_101, negated_conjecture, (multiply(sk_c11,sk_c9)=sk_c10|inverse(sk_c4)=sk_c11)).
% 2.60/0.73  cnf(i_0_98, negated_conjecture, (multiply(sk_c6,sk_c7)=sk_c11|inverse(sk_c4)=sk_c11)).
% 2.60/0.73  cnf(i_0_100, negated_conjecture, (multiply(sk_c7,sk_c10)=sk_c11|inverse(sk_c4)=sk_c11)).
% 2.60/0.73  cnf(i_0_102, negated_conjecture, (multiply(sk_c8,sk_c11)=sk_c9|inverse(sk_c4)=sk_c11)).
% 2.60/0.73  cnf(i_0_65, negated_conjecture, (multiply(sk_c11,sk_c9)=sk_c10|multiply(sk_c1,sk_c10)=sk_c11)).
% 2.60/0.73  cnf(i_0_62, negated_conjecture, (multiply(sk_c6,sk_c7)=sk_c11|multiply(sk_c1,sk_c10)=sk_c11)).
% 2.60/0.73  cnf(i_0_64, negated_conjecture, (multiply(sk_c7,sk_c10)=sk_c11|multiply(sk_c1,sk_c10)=sk_c11)).
% 2.60/0.73  cnf(i_0_66, negated_conjecture, (multiply(sk_c8,sk_c11)=sk_c9|multiply(sk_c1,sk_c10)=sk_c11)).
% 2.60/0.73  cnf(i_0_89, negated_conjecture, (multiply(sk_c11,sk_c5)=sk_c10|multiply(sk_c11,sk_c9)=sk_c10)).
% 2.60/0.73  cnf(i_0_71, negated_conjecture, (multiply(sk_c2,sk_c3)=sk_c10|multiply(sk_c11,sk_c9)=sk_c10)).
% 2.60/0.73  cnf(i_0_83, negated_conjecture, (multiply(sk_c3,sk_c11)=sk_c10|multiply(sk_c11,sk_c9)=sk_c10)).
% 2.60/0.73  cnf(i_0_95, negated_conjecture, (multiply(sk_c4,sk_c11)=sk_c5|multiply(sk_c11,sk_c9)=sk_c10)).
% 2.60/0.73  cnf(i_0_86, negated_conjecture, (multiply(sk_c6,sk_c7)=sk_c11|multiply(sk_c11,sk_c5)=sk_c10)).
% 2.60/0.73  cnf(i_0_88, negated_conjecture, (multiply(sk_c7,sk_c10)=sk_c11|multiply(sk_c11,sk_c5)=sk_c10)).
% 2.60/0.73  cnf(i_0_90, negated_conjecture, (multiply(sk_c8,sk_c11)=sk_c9|multiply(sk_c11,sk_c5)=sk_c10)).
% 2.60/0.73  cnf(i_0_68, negated_conjecture, (multiply(sk_c2,sk_c3)=sk_c10|multiply(sk_c6,sk_c7)=sk_c11)).
% 2.60/0.73  cnf(i_0_80, negated_conjecture, (multiply(sk_c3,sk_c11)=sk_c10|multiply(sk_c6,sk_c7)=sk_c11)).
% 2.60/0.73  cnf(i_0_92, negated_conjecture, (multiply(sk_c4,sk_c11)=sk_c5|multiply(sk_c6,sk_c7)=sk_c11)).
% 2.60/0.73  cnf(i_0_70, negated_conjecture, (multiply(sk_c2,sk_c3)=sk_c10|multiply(sk_c7,sk_c10)=sk_c11)).
% 2.60/0.73  cnf(i_0_82, negated_conjecture, (multiply(sk_c3,sk_c11)=sk_c10|multiply(sk_c7,sk_c10)=sk_c11)).
% 2.60/0.73  cnf(i_0_94, negated_conjecture, (multiply(sk_c4,sk_c11)=sk_c5|multiply(sk_c7,sk_c10)=sk_c11)).
% 2.60/0.73  cnf(i_0_72, negated_conjecture, (multiply(sk_c2,sk_c3)=sk_c10|multiply(sk_c8,sk_c11)=sk_c9)).
% 2.60/0.73  cnf(i_0_84, negated_conjecture, (multiply(sk_c3,sk_c11)=sk_c10|multiply(sk_c8,sk_c11)=sk_c9)).
% 2.60/0.73  cnf(i_0_96, negated_conjecture, (multiply(sk_c4,sk_c11)=sk_c5|multiply(sk_c8,sk_c11)=sk_c9)).
% 2.60/0.73  cnf(i_0_104, negated_conjecture, (multiply(sk_c11,multiply(X1,sk_c11))!=sk_c10|multiply(sk_c11,multiply(X2,sk_c11))!=sk_c10|multiply(inverse(X3),sk_c10)!=sk_c11|multiply(inverse(X4),sk_c11)!=sk_c10|multiply(X3,inverse(X3))!=sk_c11|multiply(X4,inverse(X4))!=sk_c10|multiply(X5,sk_c10)!=sk_c11|inverse(X1)!=sk_c11|inverse(X2)!=sk_c11|inverse(X5)!=sk_c11)).
% 2.60/0.73  cnf(i_0_3299, plain, (X10=X10)).
% 2.60/0.73  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 2.60/0.73  # Begin printing tableau
% 2.60/0.73  # Found 6 steps
% 2.60/0.73  cnf(i_0_3299, plain, (multiply(X1,X2)=multiply(X1,X2)), inference(start_rule)).
% 2.60/0.73  cnf(i_0_3414, plain, (multiply(X1,X2)=multiply(X1,X2)), inference(extension_rule, [i_0_3303])).
% 2.60/0.73  cnf(i_0_3530, plain, (multiply(identity,X1)!=X1), inference(closure_rule, [i_0_53])).
% 2.60/0.73  cnf(i_0_3528, plain, (multiply(multiply(X1,X2),X1)=multiply(multiply(X1,X2),multiply(identity,X1))), inference(extension_rule, [i_0_3302])).
% 2.60/0.73  cnf(i_0_3643, plain, (multiply(multiply(X1,X2),multiply(identity,X1))!=multiply(X1,multiply(X2,multiply(identity,X1)))), inference(closure_rule, [i_0_55])).
% 2.60/0.73  cnf(i_0_3641, plain, (multiply(multiply(X1,X2),X1)=multiply(X1,multiply(X2,multiply(identity,X1)))), inference(etableau_closure_rule, [i_0_3641, ...])).
% 2.60/0.73  # End printing tableau
% 2.60/0.73  # SZS output end
% 2.60/0.73  # Branches closed with saturation will be marked with an "s"
% 2.60/0.73  # Child (32015) has found a proof.
% 2.60/0.73  
% 2.60/0.73  # Proof search is over...
% 2.60/0.73  # Freeing feature tree
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