TSTP Solution File: GRP368-1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : GRP368-1 : 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 : n008.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 09:06:10 EDT 2022

% Result   : Unsatisfiable 4.87s 1.02s
% Output   : CNFRefutation 4.87s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : GRP368-1 : 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 : n008.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 02:50:07 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: 34 Number of unprocessed: 34
% 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  # 34 beginning clauses after preprocessing and clausification
% 0.12/0.36  # Creating start rules for all 31 conjectures.
% 0.12/0.36  # There are 31 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  # 31 start rule tableaux created.
% 0.12/0.36  # 31 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.
% 3.98/0.88  # Creating equality axioms
% 3.98/0.88  # Ran out of tableaux, making start rules for all clauses
% 3.98/0.92  # Creating equality axioms
% 3.98/0.92  # Ran out of tableaux, making start rules for all clauses
% 4.55/0.93  # Creating equality axioms
% 4.55/0.93  # Ran out of tableaux, making start rules for all clauses
% 4.55/0.93  # Creating equality axioms
% 4.55/0.93  # Ran out of tableaux, making start rules for all clauses
% 4.55/0.93  # Creating equality axioms
% 4.55/0.93  # Ran out of tableaux, making start rules for all clauses
% 4.55/0.95  # Creating equality axioms
% 4.55/0.95  # Ran out of tableaux, making start rules for all clauses
% 4.87/0.97  # Creating equality axioms
% 4.87/0.97  # Ran out of tableaux, making start rules for all clauses
% 4.87/0.97  # Creating equality axioms
% 4.87/0.97  # Ran out of tableaux, making start rules for all clauses
% 4.87/1.02  # There were 2 total branch saturation attempts.
% 4.87/1.02  # There were 0 of these attempts blocked.
% 4.87/1.02  # There were 0 deferred branch saturation attempts.
% 4.87/1.02  # There were 0 free duplicated saturations.
% 4.87/1.02  # There were 1 total successful branch saturations.
% 4.87/1.02  # There were 0 successful branch saturations in interreduction.
% 4.87/1.02  # There were 0 successful branch saturations on the branch.
% 4.87/1.02  # There were 1 successful branch saturations after the branch.
% 4.87/1.02  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.87/1.02  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.87/1.02  # Begin clausification derivation
% 4.87/1.02  
% 4.87/1.02  # End clausification derivation
% 4.87/1.02  # Begin listing active clauses obtained from FOF to CNF conversion
% 4.87/1.02  cnf(i_0_35, plain, (multiply(identity,X1)=X1)).
% 4.87/1.02  cnf(i_0_36, plain, (multiply(inverse(X1),X1)=identity)).
% 4.87/1.02  cnf(i_0_37, plain, (multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3)))).
% 4.87/1.02  cnf(i_0_54, negated_conjecture, (inverse(sk_c1)=sk_c7|inverse(sk_c6)=sk_c5)).
% 4.87/1.02  cnf(i_0_64, negated_conjecture, (inverse(sk_c3)=sk_c5|inverse(sk_c6)=sk_c5)).
% 4.87/1.02  cnf(i_0_56, negated_conjecture, (inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c7)).
% 4.87/1.02  cnf(i_0_66, negated_conjecture, (inverse(sk_c3)=sk_c5|inverse(sk_c4)=sk_c7)).
% 4.87/1.02  cnf(i_0_39, negated_conjecture, (multiply(sk_c5,sk_c7)=sk_c6|inverse(sk_c6)=sk_c5)).
% 4.87/1.02  cnf(i_0_44, negated_conjecture, (multiply(sk_c7,sk_c2)=sk_c6|inverse(sk_c6)=sk_c5)).
% 4.87/1.02  cnf(i_0_49, negated_conjecture, (multiply(sk_c1,sk_c7)=sk_c2|inverse(sk_c6)=sk_c5)).
% 4.87/1.02  cnf(i_0_59, negated_conjecture, (multiply(sk_c3,sk_c5)=sk_c7|inverse(sk_c6)=sk_c5)).
% 4.87/1.02  cnf(i_0_41, negated_conjecture, (multiply(sk_c5,sk_c7)=sk_c6|inverse(sk_c4)=sk_c7)).
% 4.87/1.02  cnf(i_0_46, negated_conjecture, (multiply(sk_c7,sk_c2)=sk_c6|inverse(sk_c4)=sk_c7)).
% 4.87/1.02  cnf(i_0_51, negated_conjecture, (multiply(sk_c1,sk_c7)=sk_c2|inverse(sk_c4)=sk_c7)).
% 4.87/1.02  cnf(i_0_61, negated_conjecture, (multiply(sk_c3,sk_c5)=sk_c7|inverse(sk_c4)=sk_c7)).
% 4.87/1.02  cnf(i_0_55, negated_conjecture, (multiply(sk_c7,sk_c5)=sk_c6|inverse(sk_c1)=sk_c7)).
% 4.87/1.02  cnf(i_0_53, negated_conjecture, (multiply(sk_c6,sk_c7)=sk_c5|inverse(sk_c1)=sk_c7)).
% 4.87/1.02  cnf(i_0_57, negated_conjecture, (multiply(sk_c4,sk_c6)=sk_c7|inverse(sk_c1)=sk_c7)).
% 4.87/1.02  cnf(i_0_65, negated_conjecture, (multiply(sk_c7,sk_c5)=sk_c6|inverse(sk_c3)=sk_c5)).
% 4.87/1.02  cnf(i_0_63, negated_conjecture, (multiply(sk_c6,sk_c7)=sk_c5|inverse(sk_c3)=sk_c5)).
% 4.87/1.02  cnf(i_0_67, negated_conjecture, (multiply(sk_c4,sk_c6)=sk_c7|inverse(sk_c3)=sk_c5)).
% 4.87/1.02  cnf(i_0_40, negated_conjecture, (multiply(sk_c7,sk_c5)=sk_c6|multiply(sk_c5,sk_c7)=sk_c6)).
% 4.87/1.02  cnf(i_0_38, negated_conjecture, (multiply(sk_c6,sk_c7)=sk_c5|multiply(sk_c5,sk_c7)=sk_c6)).
% 4.87/1.02  cnf(i_0_42, negated_conjecture, (multiply(sk_c4,sk_c6)=sk_c7|multiply(sk_c5,sk_c7)=sk_c6)).
% 4.87/1.02  cnf(i_0_45, negated_conjecture, (multiply(sk_c7,sk_c2)=sk_c6|multiply(sk_c7,sk_c5)=sk_c6)).
% 4.87/1.02  cnf(i_0_50, negated_conjecture, (multiply(sk_c1,sk_c7)=sk_c2|multiply(sk_c7,sk_c5)=sk_c6)).
% 4.87/1.02  cnf(i_0_60, negated_conjecture, (multiply(sk_c3,sk_c5)=sk_c7|multiply(sk_c7,sk_c5)=sk_c6)).
% 4.87/1.02  cnf(i_0_43, negated_conjecture, (multiply(sk_c6,sk_c7)=sk_c5|multiply(sk_c7,sk_c2)=sk_c6)).
% 4.87/1.02  cnf(i_0_47, negated_conjecture, (multiply(sk_c4,sk_c6)=sk_c7|multiply(sk_c7,sk_c2)=sk_c6)).
% 4.87/1.02  cnf(i_0_48, negated_conjecture, (multiply(sk_c1,sk_c7)=sk_c2|multiply(sk_c6,sk_c7)=sk_c5)).
% 4.87/1.02  cnf(i_0_58, negated_conjecture, (multiply(sk_c3,sk_c5)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5)).
% 4.87/1.02  cnf(i_0_52, negated_conjecture, (multiply(sk_c1,sk_c7)=sk_c2|multiply(sk_c4,sk_c6)=sk_c7)).
% 4.87/1.02  cnf(i_0_62, negated_conjecture, (multiply(sk_c3,sk_c5)=sk_c7|multiply(sk_c4,sk_c6)=sk_c7)).
% 4.87/1.02  cnf(i_0_68, negated_conjecture, (multiply(sk_c7,multiply(X1,sk_c7))!=sk_c6|multiply(sk_c5,sk_c7)!=sk_c6|multiply(sk_c7,sk_c5)!=sk_c6|multiply(sk_c6,sk_c7)!=sk_c5|multiply(X2,sk_c6)!=sk_c7|multiply(X3,sk_c5)!=sk_c7|inverse(sk_c6)!=sk_c5|inverse(X2)!=sk_c7|inverse(X3)!=sk_c5|inverse(X1)!=sk_c7)).
% 4.87/1.02  cnf(i_0_780, plain, (X5=X5)).
% 4.87/1.02  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 4.87/1.02  # Begin printing tableau
% 4.87/1.02  # Found 7 steps
% 4.87/1.02  cnf(i_0_780, plain, (multiply(X1,X2)=multiply(X1,X2)), inference(start_rule)).
% 4.87/1.02  cnf(i_0_859, plain, (multiply(X1,X2)=multiply(X1,X2)), inference(extension_rule, [i_0_784])).
% 4.87/1.02  cnf(i_0_939, plain, (multiply(identity,X1)!=X1), inference(closure_rule, [i_0_35])).
% 4.87/1.02  cnf(i_0_937, plain, (multiply(multiply(X1,X2),X1)=multiply(multiply(X1,X2),multiply(identity,X1))), inference(extension_rule, [i_0_783])).
% 4.87/1.02  cnf(i_0_1016, plain, (multiply(multiply(X1,X2),multiply(identity,X1))!=multiply(X1,multiply(X2,multiply(identity,X1)))), inference(closure_rule, [i_0_37])).
% 4.87/1.02  cnf(i_0_1014, plain, (multiply(multiply(X1,X2),X1)=multiply(X1,multiply(X2,multiply(identity,X1)))), inference(extension_rule, [i_0_785])).
% 4.87/1.02  cnf(i_0_59747, plain, (inverse(multiply(X1,multiply(X2,multiply(identity,X1))))=inverse(multiply(multiply(X1,X2),X1))), inference(etableau_closure_rule, [i_0_59747, ...])).
% 4.87/1.02  # End printing tableau
% 4.87/1.02  # SZS output end
% 4.87/1.02  # Branches closed with saturation will be marked with an "s"
% 4.87/1.02  # Child (23047) has found a proof.
% 4.87/1.02  
% 4.87/1.02  # Proof search is over...
% 4.87/1.02  # Freeing feature tree
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