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Etableau---0.67.THM-Ass.s

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%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SEV629+1 : TPTP v9.3.0. Released v9.3.0.
% 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 : n017.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  : 300s
% DateTime : Tue May  5 06:52:00 PM UTC 2026

% Result   : Theorem 0.30s 0.57s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem  : SEV629+1 : TPTP v9.3.0. Released v9.3.0.
% 0.10/0.14  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.18/0.36  % Computer : n017.cluster.edu
% 0.18/0.36  % Model    : x86_64 x86_64
% 0.18/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36  % Memory   : 8042.1875MB
% 0.18/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36  % CPULimit : 300
% 0.18/0.36  % WCLimit  : 300
% 0.18/0.36  % DateTime : Tue May  5 06:19:12 EDT 2026
% 0.18/0.36  % CPUTime  : 
% 0.30/0.56  # SinE strategy is gf120_h_gu_RUU_F100_L00500
% 0.30/0.56  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.30/0.56  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.30/0.56  #
% 0.30/0.56  # Presaturation interreduction done
% 0.30/0.56  # Number of axioms: 28 Number of unprocessed: 28
% 0.30/0.56  # Tableaux proof search.
% 0.30/0.56  # APR header successfully linked.
% 0.30/0.56  # Hello from C++
% 0.30/0.57  # The folding up rule is enabled...
% 0.30/0.57  # Local unification is enabled...
% 0.30/0.57  # Any saturation attempts will use folding labels...
% 0.30/0.57  # 28 beginning clauses after preprocessing and clausification
% 0.30/0.57  # Creating start rules for all 1 conjectures.
% 0.30/0.57  # There are 1 start rule candidates:
% 0.30/0.57  # Found 3 unit axioms.
% 0.30/0.57  # 1 start rule tableaux created.
% 0.30/0.57  # 25 extension rule candidate clauses
% 0.30/0.57  # 3 unit axiom clauses
% 0.30/0.57  
% 0.30/0.57  # Requested 8, 32 cores available to the main process.
% 0.30/0.57  # There are not enough tableaux to fork, creating more from the initial 1
% 0.30/0.57  # There were 1 total branch saturation attempts.
% 0.30/0.57  # There were 0 of these attempts blocked.
% 0.30/0.57  # There were 0 deferred branch saturation attempts.
% 0.30/0.57  # There were 0 free duplicated saturations.
% 0.30/0.57  # There were 1 total successful branch saturations.
% 0.30/0.57  # There were 0 successful branch saturations in interreduction.
% 0.30/0.57  # There were 0 successful branch saturations on the branch.
% 0.30/0.57  # There were 1 successful branch saturations after the branch.
% 0.30/0.57  # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.30/0.57  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.30/0.57  # Begin clausification derivation
% 0.30/0.57  
% 0.30/0.57  # End clausification derivation
% 0.30/0.57  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.30/0.57  cnf(i_0_6, plain, (cType___24t(cA))).
% 0.30/0.57  cnf(i_0_9, plain, (c_24__type__32360___24t(cHahnSets_2eset__subset))).
% 0.30/0.57  cnf(i_0_1, negated_conjecture, (~cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(c_24__type__35378,happ(cHahnSets_2eset__subset,cA)))).
% 0.30/0.57  cnf(i_0_8, plain, (t(X1,c_24__type__35378)|~c_24__type__35378___24t(X1))).
% 0.30/0.57  cnf(i_0_7, plain, (c_24__type__35378___24t(X1)|~t(X1,c_24__type__35378))).
% 0.30/0.57  cnf(i_0_15, plain, (c_24__type__32360___24t(X1)|cType___24t(esk2_1(X1)))).
% 0.30/0.57  cnf(i_0_14, plain, (c_24__type__32360___24t(X1)|c_24__type__36___24t(esk2_1(X1),esk3_1(X1)))).
% 0.30/0.57  cnf(i_0_40, plain, (c_24__type__36___24t(X1,X2)|~cProp___24t(happ(X2,esk6_2(X1,X2))))).
% 0.30/0.57  cnf(i_0_17, plain, (cHahnSets_2eset__subset___24a3(X1,X2,X3)|~p(happ(X3,esk5_3(X1,X2,X3))))).
% 0.30/0.57  cnf(i_0_13, plain, (c_24__type__32360___24t(X1)|c_24__type__36___24t(esk2_1(X1),esk4_1(X1)))).
% 0.30/0.57  cnf(i_0_11, plain, (cHahnSets_2eset__subset___24a3(X1,X2,X3)|~p(happ(happ(happ(cHahnSets_2eset__subset,X1),X2),X3)))).
% 0.30/0.57  cnf(i_0_3, plain, (cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(X1,X2)|t(esk1_2(X1,X2),X1))).
% 0.30/0.57  cnf(i_0_10, plain, (p(happ(happ(happ(cHahnSets_2eset__subset,X1),X2),X3))|~cHahnSets_2eset__subset___24a3(X1,X2,X3))).
% 0.30/0.57  cnf(i_0_2, plain, (cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(X1,X2)|~p(happ(happ(X2,esk1_2(X1,X2)),esk1_2(X1,X2))))).
% 0.30/0.57  cnf(i_0_12, plain, (c_24__type__32360___24t(X1)|~cProp___24t(happ(happ(happ(X1,esk2_1(X1)),esk3_1(X1)),esk4_1(X1))))).
% 0.30/0.57  cnf(i_0_41, plain, (c_24__type__36___24t(X1,X2)|t(esk6_2(X1,X2),X1))).
% 0.30/0.57  cnf(i_0_42, plain, (cProp___24t(happ(X1,X2))|~c_24__type__36___24t(X3,X1)|~t(X2,X3))).
% 0.30/0.57  cnf(i_0_19, plain, (cHahnSets_2eset__subset___24a3(X1,X2,X3)|t(esk5_3(X1,X2,X3),X1))).
% 0.30/0.57  cnf(i_0_4, plain, (p(happ(happ(X1,X2),X2))|~cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(X3,X1)|~t(X2,X3))).
% 0.30/0.57  cnf(i_0_20, plain, (p(happ(X1,X2))|~cHahnSets_2eset__subset___24a3(X3,X4,X1)|~t(X2,X3)|~p(happ(X4,X2)))).
% 0.30/0.57  cnf(i_0_18, plain, (cHahnSets_2eset__subset___24a3(X1,X2,X3)|p(happ(X2,esk5_3(X1,X2,X3))))).
% 0.30/0.57  cnf(i_0_48, plain, (t(esk9_2(X1,X2),X1)|~c_24__type__36___24t(X1,X2)|~t(X3,X1)|~cType___24t(X1)|~p(happ(X2,X3)))).
% 0.30/0.57  cnf(i_0_16, plain, (cProp___24t(happ(happ(happ(X1,X2),X3),X4))|~c_24__type__32360___24t(X1)|~c_24__type__36___24t(X2,X4)|~c_24__type__36___24t(X2,X3)|~cType___24t(X2))).
% 0.30/0.57  cnf(i_0_43, plain, (p(happ(X1,X2))|~c_24__type__36___24t(X3,X1)|~t(X2,X3)|~cType___24t(X3)|~p(happ(X1,esk7_2(X3,X1))))).
% 0.30/0.57  cnf(i_0_45, plain, (p(happ(X1,X2))|~c_24__type__36___24t(X3,X1)|~t(X2,X3)|~cType___24t(X3)|~p(happ(X1,esk8_2(X3,X1))))).
% 0.30/0.57  cnf(i_0_47, plain, (p(happ(X1,esk9_2(X2,X1)))|~c_24__type__36___24t(X2,X1)|~t(X3,X2)|~cType___24t(X2)|~p(happ(X1,X3)))).
% 0.30/0.57  cnf(i_0_44, plain, (t(esk7_2(X1,X2),X1)|p(happ(X2,X3))|~c_24__type__36___24t(X1,X2)|~t(X3,X1)|~cType___24t(X1))).
% 0.30/0.57  cnf(i_0_46, plain, (t(esk8_2(X1,X2),X1)|p(happ(X2,X3))|~c_24__type__36___24t(X1,X2)|~t(X3,X1)|~cType___24t(X1))).
% 0.30/0.57  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.30/0.57  # Begin printing tableau
% 0.30/0.57  # Found 4 steps
% 0.30/0.57  cnf(i_0_1, negated_conjecture, (~cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(c_24__type__35378,happ(cHahnSets_2eset__subset,cA))), inference(start_rule)).
% 0.30/0.57  cnf(i_0_49, plain, (~cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2(c_24__type__35378,happ(cHahnSets_2eset__subset,cA))), inference(extension_rule, [i_0_2])).
% 0.30/0.57  cnf(i_0_71, plain, (~p(happ(happ(happ(cHahnSets_2eset__subset,cA),esk1_2(c_24__type__35378,happ(cHahnSets_2eset__subset,cA))),esk1_2(c_24__type__35378,happ(cHahnSets_2eset__subset,cA))))), inference(extension_rule, [i_0_10])).
% 0.30/0.57  cnf(i_0_144, plain, (~cHahnSets_2eset__subset___24a3(cA,esk1_2(c_24__type__35378,happ(cHahnSets_2eset__subset,cA)),esk1_2(c_24__type__35378,happ(cHahnSets_2eset__subset,cA)))), inference(etableau_closure_rule, [i_0_144, ...])).
% 0.30/0.57  # End printing tableau
% 0.30/0.57  # SZS output end
% 0.30/0.57  # Branches closed with saturation will be marked with an "s"
% 0.30/0.57  # Returning from population with 2 new_tableaux and 0 remaining starting tableaux.
% 0.30/0.57  # We now have 2 tableaux to operate on
% 0.30/0.57  # Found closed tableau during pool population.
% 0.30/0.57  # Proof search is over...
% 0.30/0.57  # Freeing feature tree
%------------------------------------------------------------------------------