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Etableau---0.67.CSA-Ass.s

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%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : LCL653+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 : n031.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 12:01:37 PM UTC 2026

% Result   : CounterSatisfiable 1.88s 0.68s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL653+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
% 0.10/0.36  % Computer : n031.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sat Sep  5 18:11:10 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.40  # No SInE strategy applied
% 0.10/0.40  # Auto-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI
% 0.10/0.40  # and selection function SelectNewComplexAHP.
% 0.10/0.40  #
% 0.10/0.40  # Presaturation interreduction done
% 0.10/0.40  # Number of axioms: 50 Number of unprocessed: 50
% 0.10/0.40  # Tableaux proof search.
% 0.10/0.40  # APR header successfully linked.
% 0.10/0.40  # Hello from C++
% 0.10/0.40  # The folding up rule is enabled...
% 0.10/0.40  # Local unification is enabled...
% 0.10/0.40  # Any saturation attempts will use folding labels...
% 0.10/0.40  # 50 beginning clauses after preprocessing and clausification
% 0.10/0.40  # Creating start rules for all 18 conjectures.
% 0.10/0.40  # There are 18 start rule candidates:
% 0.10/0.40  # Found 5 unit axioms.
% 0.10/0.40  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.10/0.40  # 18 start rule tableaux created.
% 0.10/0.40  # 45 extension rule candidate clauses
% 0.10/0.40  # 5 unit axiom clauses
% 0.10/0.40  
% 0.10/0.40  # Requested 8, 32 cores available to the main process.
% 1.88/0.67  # 3587066 Satisfiable branch
% 1.88/0.68  # Satisfiable branch found.
% 1.88/0.68  # There were 1 total branch saturation attempts.
% 1.88/0.68  # There were 0 of these attempts blocked.
% 1.88/0.68  # There were 0 deferred branch saturation attempts.
% 1.88/0.68  # There were 0 free duplicated saturations.
% 1.88/0.68  # There were 0 total successful branch saturations.
% 1.88/0.68  # There were 0 successful branch saturations in interreduction.
% 1.88/0.68  # There were 0 successful branch saturations on the branch.
% 1.88/0.68  # There were 0 successful branch saturations after the branch.
% 1.88/0.68  # SZS status CounterSatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.88/0.68  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.88/0.68  # Begin clausification derivation
% 1.88/0.68  
% 1.88/0.68  # End clausification derivation
% 1.88/0.68  # Begin listing active clauses obtained from FOF to CNF conversion
% 1.88/0.68  cnf(i_0_10, negated_conjecture, (r1(esk1_0,esk5_0))).
% 1.88/0.68  cnf(i_0_5, negated_conjecture, (r1(esk1_0,esk8_0))).
% 1.88/0.68  cnf(i_0_9, negated_conjecture, (r1(esk5_0,esk6_0))).
% 1.88/0.68  cnf(i_0_7, negated_conjecture, (r1(esk5_0,esk7_0))).
% 1.88/0.68  cnf(i_0_6, negated_conjecture, (~p1(esk7_0))).
% 1.88/0.68  cnf(i_0_8, negated_conjecture, (p1(X1)|~r1(esk6_0,X1))).
% 1.88/0.68  cnf(i_0_13, negated_conjecture, (epred1_1(X1)|~r1(esk1_0,X1))).
% 1.88/0.68  cnf(i_0_18, negated_conjecture, (~p4(X1)|~r1(esk1_0,X1))).
% 1.88/0.68  cnf(i_0_3, negated_conjecture, (~p2(esk9_1(X1))|~r1(esk8_0,X1))).
% 1.88/0.68  cnf(i_0_21, plain, (~epred1_1(X1)|~p2(X2)|~p3(esk21_1(X1))|~r1(esk22_1(X1),X2))).
% 1.88/0.68  cnf(i_0_22, plain, (r1(X1,esk22_1(X1))|~epred1_1(X1)|~p3(esk21_1(X1)))).
% 1.88/0.68  cnf(i_0_4, negated_conjecture, (r1(X1,esk9_1(X1))|~r1(esk8_0,X1))).
% 1.88/0.68  cnf(i_0_11, negated_conjecture, (p1(X1)|~p1(esk4_1(X2))|~r1(esk1_0,X2)|~r1(X3,X1)|~r1(X2,X3))).
% 1.88/0.68  cnf(i_0_1, negated_conjecture, (p1(esk10_1(X1))|~p1(X2)|~r1(esk1_0,X1)|~r1(X3,X2)|~r1(X1,X3))).
% 1.88/0.68  cnf(i_0_2, negated_conjecture, (r1(X1,esk10_1(X1))|~p1(X2)|~r1(esk1_0,X1)|~r1(X3,X2)|~r1(X1,X3))).
% 1.88/0.68  cnf(i_0_20, plain, (p2(esk20_1(X1))|r1(X1,esk22_1(X1))|~epred1_1(X1))).
% 1.88/0.68  cnf(i_0_26, plain, (r1(X1,esk22_1(X1))|r1(X1,esk20_1(X1))|~epred1_1(X1))).
% 1.88/0.68  cnf(i_0_24, plain, (r1(esk20_1(X1),esk21_1(X1))|r1(X1,esk22_1(X1))|~epred1_1(X1))).
% 1.88/0.68  cnf(i_0_25, plain, (r1(X1,esk20_1(X1))|~epred1_1(X1)|~p2(X2)|~r1(esk22_1(X1),X2))).
% 1.88/0.68  cnf(i_0_19, plain, (p2(esk20_1(X1))|~epred1_1(X1)|~p2(X2)|~r1(esk22_1(X1),X2))).
% 1.88/0.68  cnf(i_0_23, plain, (r1(esk20_1(X1),esk21_1(X1))|~epred1_1(X1)|~p2(X2)|~r1(esk22_1(X1),X2))).
% 1.88/0.68  cnf(i_0_39, plain, (~epred1_1(X1)|~p2(X2)|~p3(esk14_3(X1,X3,X4))|~r1(esk15_1(X1),X2)|~r1(X3,X4)|~r1(X1,X3))).
% 1.88/0.68  cnf(i_0_12, negated_conjecture, (p1(X1)|r1(X2,esk4_1(X2))|~r1(esk1_0,X2)|~r1(X3,X1)|~r1(X2,X3))).
% 1.88/0.68  cnf(i_0_31, plain, (r1(X1,esk17_2(X2,X1))|~epred1_1(X2)|~p2(X3)|~r1(esk16_2(X2,X1),X3)|~r1(X2,X1))).
% 1.88/0.68  cnf(i_0_16, negated_conjecture, (r1(X1,esk2_3(X2,X3,X1))|~p1(X4)|~r1(esk3_1(X2),X4)|~r1(esk1_0,X2)|~r1(X3,X1)|~r1(X2,X3))).
% 1.88/0.68  cnf(i_0_15, negated_conjecture, (p1(esk2_3(X1,X2,X3))|r1(X1,esk3_1(X1))|~r1(esk1_0,X1)|~r1(X2,X3)|~r1(X1,X2))).
% 1.88/0.68  cnf(i_0_36, plain, (r1(X1,esk17_2(X2,X1))|r1(X1,esk16_2(X2,X1))|~epred1_1(X2)|~r1(X2,X1))).
% 1.88/0.68  cnf(i_0_38, plain, (p2(esk13_3(X1,X2,X3))|r1(X1,esk15_1(X1))|~epred1_1(X1)|~r1(X2,X3)|~r1(X1,X2))).
% 1.88/0.68  cnf(i_0_44, plain, (r1(X1,esk13_3(X2,X3,X1))|r1(X2,esk15_1(X2))|~epred1_1(X2)|~r1(X3,X1)|~r1(X2,X3))).
% 1.88/0.68  cnf(i_0_40, plain, (r1(X1,esk15_1(X1))|~epred1_1(X1)|~p3(esk14_3(X1,X2,X3))|~r1(X2,X3)|~r1(X1,X2))).
% 1.88/0.68  cnf(i_0_28, plain, (~epred1_1(X1)|~p2(X2)|~p3(esk19_3(X1,X3,X4))|~r1(esk16_2(X1,X3),X2)|~r1(esk17_2(X1,X3),X4)|~r1(X1,X3))).
% 1.88/0.68  cnf(i_0_43, plain, (r1(X1,esk13_3(X2,X3,X1))|~epred1_1(X2)|~p2(X4)|~r1(esk15_1(X2),X4)|~r1(X3,X1)|~r1(X2,X3))).
% 1.88/0.68  cnf(i_0_33, plain, (r1(X1,esk16_2(X2,X1))|~epred1_1(X2)|~p3(esk19_3(X2,X1,X3))|~r1(esk17_2(X2,X1),X3)|~r1(X2,X1))).
% 1.88/0.68  cnf(i_0_14, negated_conjecture, (p1(esk2_3(X1,X2,X3))|~p1(X4)|~r1(esk3_1(X1),X4)|~r1(esk1_0,X1)|~r1(X2,X3)|~r1(X1,X2))).
% 1.88/0.68  cnf(i_0_45, plain, (p2(X1)|~epred1_1(X2)|~p2(X3)|~p2(X4)|~r1(esk12_3(X2,X4,X5),X3)|~r1(X4,X1)|~r1(X4,X5)|~r1(X2,X4))).
% 1.88/0.68  cnf(i_0_37, plain, (p2(esk13_3(X1,X2,X3))|~epred1_1(X1)|~p2(X4)|~r1(esk15_1(X1),X4)|~r1(X2,X3)|~r1(X1,X2))).
% 1.88/0.68  cnf(i_0_46, plain, (p2(X1)|r1(X2,esk12_3(X3,X4,X2))|~epred1_1(X3)|~p2(X4)|~r1(X4,X1)|~r1(X4,X2)|~r1(X3,X4))).
% 1.88/0.68  cnf(i_0_17, negated_conjecture, (r1(X1,esk2_3(X2,X3,X1))|r1(X2,esk3_1(X2))|~r1(esk1_0,X2)|~r1(X3,X1)|~r1(X2,X3))).
% 1.88/0.68  cnf(i_0_32, plain, (p2(esk18_3(X1,X2,X3))|r1(X2,esk16_2(X1,X2))|~epred1_1(X1)|~r1(esk17_2(X1,X2),X3)|~r1(X1,X2))).
% 1.88/0.68  cnf(i_0_35, plain, (r1(X1,esk18_3(X2,X3,X1))|r1(X3,esk16_2(X2,X3))|~epred1_1(X2)|~r1(esk17_2(X2,X3),X1)|~r1(X2,X3))).
% 1.88/0.68  cnf(i_0_47, plain, (~epred1_1(X1)|~p2(X2)|~p2(X3)|~p3(esk11_3(X1,X3,X4))|~r1(esk12_3(X1,X3,X5),X2)|~r1(X3,X4)|~r1(X3,X5)|~r1(X1,X3))).
% 1.88/0.68  cnf(i_0_30, plain, (r1(X1,esk18_3(X2,X3,X1))|~epred1_1(X2)|~p2(X4)|~r1(esk16_2(X2,X3),X4)|~r1(esk17_2(X2,X3),X1)|~r1(X2,X3))).
% 1.88/0.68  cnf(i_0_48, plain, (r1(X1,esk12_3(X2,X3,X1))|~epred1_1(X2)|~p2(X3)|~p3(esk11_3(X2,X3,X4))|~r1(X3,X4)|~r1(X3,X1)|~r1(X2,X3))).
% 1.88/0.68  cnf(i_0_27, plain, (p2(esk18_3(X1,X2,X3))|~epred1_1(X1)|~p2(X4)|~r1(esk16_2(X1,X2),X4)|~r1(esk17_2(X1,X2),X3)|~r1(X1,X2))).
% 1.88/0.68  cnf(i_0_42, plain, (r1(esk13_3(X1,X2,X3),esk14_3(X1,X2,X3))|r1(X1,esk15_1(X1))|~epred1_1(X1)|~r1(X2,X3)|~r1(X1,X2))).
% 1.88/0.68  cnf(i_0_41, plain, (r1(esk13_3(X1,X2,X3),esk14_3(X1,X2,X3))|~epred1_1(X1)|~p2(X4)|~r1(esk15_1(X1),X4)|~r1(X2,X3)|~r1(X1,X2))).
% 1.88/0.68  cnf(i_0_49, plain, (r1(X1,esk11_3(X2,X3,X1))|~epred1_1(X2)|~p2(X4)|~p2(X3)|~r1(esk12_3(X2,X3,X5),X4)|~r1(X3,X1)|~r1(X3,X5)|~r1(X2,X3))).
% 1.88/0.68  cnf(i_0_50, plain, (r1(X1,esk12_3(X2,X3,X1))|r1(X4,esk11_3(X2,X3,X4))|~epred1_1(X2)|~p2(X3)|~r1(X3,X4)|~r1(X3,X1)|~r1(X2,X3))).
% 1.88/0.68  cnf(i_0_29, plain, (r1(esk18_3(X1,X2,X3),esk19_3(X1,X2,X3))|~epred1_1(X1)|~p2(X4)|~r1(esk16_2(X1,X2),X4)|~r1(esk17_2(X1,X2),X3)|~r1(X1,X2))).
% 1.88/0.68  cnf(i_0_34, plain, (r1(esk18_3(X1,X2,X3),esk19_3(X1,X2,X3))|r1(X2,esk16_2(X1,X2))|~epred1_1(X1)|~r1(esk17_2(X1,X2),X3)|~r1(X1,X2))).
% 1.88/0.68  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 1.88/0.68  # Begin printing tableau
% 1.88/0.68  # Found 6 steps
% 1.88/0.68  cnf(i_0_16, negated_conjecture, (r1(esk7_0,esk2_3(esk8_0,esk5_0,esk7_0))|~p1(esk22_1(esk6_0))|~r1(esk3_1(esk8_0),esk22_1(esk6_0))|~r1(esk1_0,esk8_0)|~r1(esk5_0,esk7_0)|~r1(esk8_0,esk5_0)), inference(start_rule)).
% 1.88/0.68  cnf(i_0_67, plain, (r1(esk7_0,esk2_3(esk8_0,esk5_0,esk7_0))), inference(closure_rule, [i_0_0])).
% 1.88/0.68  cnf(i_0_70, plain, (~r1(esk1_0,esk8_0)), inference(closure_rule, [i_0_5])).
% 1.88/0.68  cnf(i_0_71, plain, (~r1(esk5_0,esk7_0)), inference(closure_rule, [i_0_7])).
% 1.88/0.68  cnf(i_0_68, plain, (~p1(esk22_1(esk6_0))), inference(extension_rule, [i_0_8])).
% 1.88/0.68  cnf(i_0_24970, plain, (~r1(esk6_0,esk22_1(esk6_0))), inference(extension_rule, [i_0_22])).
% 1.88/0.68  # End printing tableau
% 1.88/0.68  # SZS output end
% 1.88/0.68  # Branches closed with saturation will be marked with an "s"
% 1.88/0.68  # Child (3587066) has found a proof.
% 1.88/0.68  
% 1.88/0.68  # Proof search is over...
% 1.88/0.68  # Freeing feature tree
%------------------------------------------------------------------------------