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Etableau---0.67.THM-Ass.s

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%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : LCL674+1.001 : TPTP v9.3.1. Released v4.0.0.
% 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 : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Sep  7 12:01:44 PM UTC 2026

% Result   : Theorem 0.08s 0.39s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL674+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.08/0.35  % Computer : n011.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Sat Sep  5 02:04:58 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.08/0.39  # No SInE strategy applied
% 0.08/0.39  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN
% 0.08/0.39  # and selection function PSelectComplexExceptUniqMaxHorn.
% 0.08/0.39  #
% 0.08/0.39  # Presaturation interreduction done
% 0.08/0.39  # Number of axioms: 19 Number of unprocessed: 18
% 0.08/0.39  # Tableaux proof search.
% 0.08/0.39  # APR header successfully linked.
% 0.08/0.39  # Hello from C++
% 0.08/0.39  # The folding up rule is enabled...
% 0.08/0.39  # Local unification is enabled...
% 0.08/0.39  # Any saturation attempts will use folding labels...
% 0.08/0.39  # 18 beginning clauses after preprocessing and clausification
% 0.08/0.39  # Creating start rules for all 16 conjectures.
% 0.08/0.39  # There are 16 start rule candidates:
% 0.08/0.39  # Found 3 unit axioms.
% 0.08/0.39  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.08/0.39  # 16 start rule tableaux created.
% 0.08/0.39  # 15 extension rule candidate clauses
% 0.08/0.39  # 3 unit axiom clauses
% 0.08/0.39  
% 0.08/0.39  # Requested 8, 32 cores available to the main process.
% 0.08/0.39  # Closed tableau found in foldup close cycle with 1 folds and 3 closures done.
% 0.08/0.39  # There were 0 total branch saturation attempts.
% 0.08/0.39  # There were 0 of these attempts blocked.
% 0.08/0.39  # There were 0 deferred branch saturation attempts.
% 0.08/0.39  # There were 0 free duplicated saturations.
% 0.08/0.39  # There were 0 total successful branch saturations.
% 0.08/0.39  # There were 0 successful branch saturations in interreduction.
% 0.08/0.39  # There were 0 successful branch saturations on the branch.
% 0.08/0.39  # There were 0 successful branch saturations after the branch.
% 0.08/0.39  # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.39  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.39  # Begin clausification derivation
% 0.08/0.39  
% 0.08/0.39  # End clausification derivation
% 0.08/0.39  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.08/0.39  cnf(i_0_3, negated_conjecture, (p100(esk1_0))).
% 0.08/0.39  cnf(i_0_1, plain, (r1(X1,X1))).
% 0.08/0.39  cnf(i_0_4, negated_conjecture, (~p101(esk1_0))).
% 0.08/0.39  cnf(i_0_19, negated_conjecture, (p2(X1)|~r1(esk1_0,X1))).
% 0.08/0.39  cnf(i_0_6, negated_conjecture, (p101(X1)|~p102(X1)|~r1(esk1_0,X1))).
% 0.08/0.39  cnf(i_0_5, negated_conjecture, (p100(X1)|~p101(X1)|~r1(esk1_0,X1))).
% 0.08/0.39  cnf(i_0_13, negated_conjecture, (p101(X1)|p2(esk3_1(X1))|~p100(X1)|~r1(esk1_0,X1))).
% 0.08/0.39  cnf(i_0_17, negated_conjecture, (p101(X1)|~p100(X1)|~p2(esk2_1(X1))|~r1(esk1_0,X1))).
% 0.08/0.39  cnf(i_0_16, negated_conjecture, (p101(X1)|~p100(X1)|~p102(esk2_1(X1))|~r1(esk1_0,X1))).
% 0.08/0.39  cnf(i_0_12, negated_conjecture, (p101(X1)|~p100(X1)|~p102(esk3_1(X1))|~r1(esk1_0,X1))).
% 0.08/0.39  cnf(i_0_2, plain, (r1(X1,X2)|~r1(X3,X2)|~r1(X1,X3))).
% 0.08/0.39  cnf(i_0_15, negated_conjecture, (p101(esk2_1(X1))|p101(X1)|~p100(X1)|~r1(esk1_0,X1))).
% 0.08/0.39  cnf(i_0_11, negated_conjecture, (p101(esk3_1(X1))|p101(X1)|~p100(X1)|~r1(esk1_0,X1))).
% 0.08/0.39  cnf(i_0_18, negated_conjecture, (p101(X1)|r1(X1,esk2_1(X1))|~p100(X1)|~r1(esk1_0,X1))).
% 0.08/0.39  cnf(i_0_14, negated_conjecture, (p101(X1)|r1(X1,esk3_1(X1))|~p100(X1)|~r1(esk1_0,X1))).
% 0.08/0.39  cnf(i_0_9, negated_conjecture, (p2(X1)|~p101(X1)|~p101(X2)|~r1(esk1_0,X2)|~r1(X2,X1))).
% 0.08/0.39  cnf(i_0_7, negated_conjecture, (p1(X1)|~p1(X2)|~p100(X1)|~p100(X2)|~r1(esk1_0,X2)|~r1(X2,X1))).
% 0.08/0.39  cnf(i_0_8, negated_conjecture, (p1(X1)|~p1(X2)|~p100(X2)|~p100(X1)|~r1(esk1_0,X1)|~r1(X1,X2))).
% 0.08/0.39  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.08/0.39  # Begin printing tableau
% 0.08/0.39  # Found 15 steps
% 0.08/0.39  cnf(i_0_15, negated_conjecture, (p101(esk2_1(esk1_0))|p101(esk1_0)|~p100(esk1_0)|~r1(esk1_0,esk1_0)), inference(start_rule)).
% 0.08/0.39  cnf(i_0_50, plain, (p101(esk1_0)), inference(closure_rule, [i_0_4])).
% 0.08/0.39  cnf(i_0_51, plain, (~p100(esk1_0)), inference(closure_rule, [i_0_3])).
% 0.08/0.39  cnf(i_0_52, plain, (~r1(esk1_0,esk1_0)), inference(closure_rule, [i_0_1])).
% 0.08/0.39  cnf(i_0_49, plain, (p101(esk2_1(esk1_0))), inference(extension_rule, [i_0_9])).
% 0.08/0.39  cnf(i_0_96, plain, (~p101(esk2_1(esk1_0))), inference(closure_rule, [i_0_49])).
% 0.08/0.39  cnf(i_0_98, plain, (~r1(esk2_1(esk1_0),esk2_1(esk1_0))), inference(closure_rule, [i_0_1])).
% 0.08/0.39  cnf(i_0_94, plain, (p2(esk2_1(esk1_0))), inference(extension_rule, [i_0_17])).
% 0.08/0.39  cnf(i_0_138, plain, (p101(esk1_0)), inference(closure_rule, [i_0_4])).
% 0.08/0.39  cnf(i_0_139, plain, (~p100(esk1_0)), inference(closure_rule, [i_0_3])).
% 0.08/0.39  cnf(i_0_141, plain, (~r1(esk1_0,esk1_0)), inference(closure_rule, [i_0_1])).
% 0.08/0.39  cnf(i_0_97, plain, (~r1(esk1_0,esk2_1(esk1_0))), inference(extension_rule, [i_0_18])).
% 0.08/0.39  cnf(i_0_221, plain, (p101(esk1_0)), inference(closure_rule, [i_0_4])).
% 0.08/0.39  cnf(i_0_223, plain, (~p100(esk1_0)), inference(closure_rule, [i_0_3])).
% 0.08/0.39  cnf(i_0_224, plain, (~r1(esk1_0,esk1_0)), inference(closure_rule, [i_0_1])).
% 0.08/0.39  # End printing tableau
% 0.08/0.39  # SZS output end
% 0.08/0.39  # Branches closed with saturation will be marked with an "s"
% 0.08/0.39  # Child (345696) has found a proof.
% 0.08/0.39  
% 0.08/0.39  # Proof search is over...
% 0.08/0.39  # Freeing feature tree
%------------------------------------------------------------------------------