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Etableau---0.67.UNS-Ass.s

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%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : LCL243-3 : TPTP v9.3.1. Released v2.3.0.
% 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 : n003.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 12:00:54 PM UTC 2026

% Result   : Unsatisfiable 3.50s 3.99s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL243-3 : TPTP v9.3.1. Released v2.3.0.
% 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 : n003.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 06:35:35 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.13/0.37  # No SInE strategy applied
% 0.13/0.37  # Auto-Mode selected heuristic G_E___208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.13/0.37  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.13/0.37  #
% 0.13/0.37  # Presaturation interreduction done
% 0.13/0.37  # Number of axioms: 8 Number of unprocessed: 8
% 0.13/0.37  # Tableaux proof search.
% 0.13/0.37  # APR header successfully linked.
% 0.13/0.37  # Hello from C++
% 0.46/0.74  # The folding up rule is enabled...
% 0.46/0.74  # Local unification is enabled...
% 0.46/0.74  # Any saturation attempts will use folding labels...
% 0.46/0.74  # 8 beginning clauses after preprocessing and clausification
% 0.46/0.74  # Creating start rules for all 1 conjectures.
% 0.46/0.74  # There are 1 start rule candidates:
% 0.46/0.74  # Found 6 unit axioms.
% 0.46/0.74  # 1 start rule tableaux created.
% 0.46/0.74  # 2 extension rule candidate clauses
% 0.46/0.74  # 6 unit axiom clauses
% 0.46/0.74  
% 0.46/0.74  # Requested 8, 32 cores available to the main process.
% 0.46/0.74  # There are not enough tableaux to fork, creating more from the initial 1
% 3.46/3.73  # Ran out of tableaux, making start rules for all clauses
% 3.46/3.73  # Returning from population with 8 new_tableaux and 0 remaining starting tableaux.
% 3.46/3.73  # We now have 8 tableaux to operate on
% 3.50/3.99  # There were 8 total branch saturation attempts.
% 3.50/3.99  # There were 0 of these attempts blocked.
% 3.50/3.99  # There were 0 deferred branch saturation attempts.
% 3.50/3.99  # There were 0 free duplicated saturations.
% 3.50/3.99  # There were 1 total successful branch saturations.
% 3.50/3.99  # There were 0 successful branch saturations in interreduction.
% 3.50/3.99  # There were 0 successful branch saturations on the branch.
% 3.50/3.99  # There were 1 successful branch saturations after the branch.
% 3.50/3.99  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.50/3.99  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.50/3.99  # Begin clausification derivation
% 3.50/3.99  
% 3.50/3.99  # End clausification derivation
% 3.50/3.99  # Begin listing active clauses obtained from FOF to CNF conversion
% 3.50/3.99  cnf(i_0_12, plain, (axiom(or(not(X1),or(X2,X1))))).
% 3.50/3.99  cnf(i_0_11, plain, (axiom(or(not(or(X1,X1)),X1)))).
% 3.50/3.99  cnf(i_0_13, plain, (axiom(or(not(or(X1,X2)),or(X2,X1))))).
% 3.50/3.99  cnf(i_0_14, plain, (axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))))).
% 3.50/3.99  cnf(i_0_15, plain, (axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))))).
% 3.50/3.99  cnf(i_0_20, negated_conjecture, (~theorem(or(not(or(not(p),or(not(q),r))),or(not(not(or(not(p),not(q)))),r))))).
% 3.50/3.99  cnf(i_0_17, plain, (theorem(X1)|~axiom(X1))).
% 3.50/3.99  cnf(i_0_18, plain, (theorem(X1)|~theorem(or(not(X2),X1))|~theorem(X2))).
% 3.50/3.99  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 3.50/3.99  # Begin printing tableau
% 3.50/3.99  # Found 8 steps
% 3.50/3.99  cnf(i_0_18, plain, (theorem(or(not(or(not(p),or(not(q),r))),or(not(not(or(not(p),not(q)))),r)))|~theorem(or(not(or(or(not(or(not(p),or(not(q),r))),or(not(not(or(not(p),not(q)))),r)),or(not(or(not(p),or(not(q),r))),or(not(not(or(not(p),not(q)))),r)))),or(not(or(not(p),or(not(q),r))),or(not(not(or(not(p),not(q)))),r))))|~theorem(or(or(not(or(not(p),or(not(q),r))),or(not(not(or(not(p),not(q)))),r)),or(not(or(not(p),or(not(q),r))),or(not(not(or(not(p),not(q)))),r))))), inference(start_rule)).
% 3.50/3.99  cnf(i_0_396505, plain, (theorem(or(not(or(not(p),or(not(q),r))),or(not(not(or(not(p),not(q)))),r)))), inference(closure_rule, [i_0_20])).
% 3.50/3.99  cnf(i_0_396506, plain, (~theorem(or(not(or(or(not(or(not(p),or(not(q),r))),or(not(not(or(not(p),not(q)))),r)),or(not(or(not(p),or(not(q),r))),or(not(not(or(not(p),not(q)))),r)))),or(not(or(not(p),or(not(q),r))),or(not(not(or(not(p),not(q)))),r))))), inference(extension_rule, [i_0_17])).
% 3.50/3.99  cnf(i_0_396514, plain, (~axiom(or(not(or(or(not(or(not(p),or(not(q),r))),or(not(not(or(not(p),not(q)))),r)),or(not(or(not(p),or(not(q),r))),or(not(not(or(not(p),not(q)))),r)))),or(not(or(not(p),or(not(q),r))),or(not(not(or(not(p),not(q)))),r))))), inference(closure_rule, [i_0_11])).
% 3.50/3.99  cnf(i_0_396507, plain, (~theorem(or(or(not(or(not(p),or(not(q),r))),or(not(not(or(not(p),not(q)))),r)),or(not(or(not(p),or(not(q),r))),or(not(not(or(not(p),not(q)))),r))))), inference(extension_rule, [i_0_18])).
% 3.50/3.99  cnf(i_0_396517, plain, (~theorem(or(not(or(or(not(or(not(p),or(not(q),r))),or(not(not(or(not(p),not(q)))),r)),or(not(or(not(p),or(not(q),r))),or(not(not(or(not(p),not(q)))),r)))),or(not(or(not(p),or(not(q),r))),or(not(not(or(not(p),not(q)))),r))))), inference(closure_rule, [i_0_396506])).
% 3.50/3.99  cnf(i_0_396516, plain, (~theorem(or(not(or(not(or(or(not(or(not(p),or(not(q),r))),or(not(not(or(not(p),not(q)))),r)),or(not(or(not(p),or(not(q),r))),or(not(not(or(not(p),not(q)))),r)))),or(not(or(not(p),or(not(q),r))),or(not(not(or(not(p),not(q)))),r)))),or(or(not(or(not(p),or(not(q),r))),or(not(not(or(not(p),not(q)))),r)),or(not(or(not(p),or(not(q),r))),or(not(not(or(not(p),not(q)))),r)))))), inference(extension_rule, [i_0_17])).
% 3.50/3.99  cnf(i_0_396519, plain, (~axiom(or(not(or(not(or(or(not(or(not(p),or(not(q),r))),or(not(not(or(not(p),not(q)))),r)),or(not(or(not(p),or(not(q),r))),or(not(not(or(not(p),not(q)))),r)))),or(not(or(not(p),or(not(q),r))),or(not(not(or(not(p),not(q)))),r)))),or(or(not(or(not(p),or(not(q),r))),or(not(not(or(not(p),not(q)))),r)),or(not(or(not(p),or(not(q),r))),or(not(not(or(not(p),not(q)))),r)))))), inference(etableau_closure_rule, [i_0_396519, ...])).
% 3.50/3.99  # End printing tableau
% 3.50/3.99  # SZS output end
% 3.50/3.99  # Branches closed with saturation will be marked with an "s"
% 3.50/4.00  # Child (3246474) has found a proof.
% 3.50/4.00  
% 3.50/4.00  # Proof search is over...
% 3.50/4.00  # Freeing feature tree
%------------------------------------------------------------------------------