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Etableau---0.67.THM-Ass.s

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%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SWX207+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 : n016.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 07:00:44 PM UTC 2026

% Result   : Theorem 0.20s 0.37s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWX207+1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.17/0.34  % Computer : n016.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Tue May  5 11:35:36 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.20/0.37  # No SInE strategy applied
% 0.20/0.37  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.37  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.20/0.37  #
% 0.20/0.37  # Presaturation interreduction done
% 0.20/0.37  # Number of axioms: 27 Number of unprocessed: 27
% 0.20/0.37  # Tableaux proof search.
% 0.20/0.37  # APR header successfully linked.
% 0.20/0.37  # Hello from C++
% 0.20/0.37  # The folding up rule is enabled...
% 0.20/0.37  # Local unification is enabled...
% 0.20/0.37  # Any saturation attempts will use folding labels...
% 0.20/0.37  # 27 beginning clauses after preprocessing and clausification
% 0.20/0.37  # Creating start rules for all 1 conjectures.
% 0.20/0.37  # There are 1 start rule candidates:
% 0.20/0.37  # Found 26 unit axioms.
% 0.20/0.37  # 1 start rule tableaux created.
% 0.20/0.37  # 1 extension rule candidate clauses
% 0.20/0.37  # 26 unit axiom clauses
% 0.20/0.37  
% 0.20/0.37  # Requested 8, 32 cores available to the main process.
% 0.20/0.37  # There are not enough tableaux to fork, creating more from the initial 1
% 0.20/0.37  # There were 1 total branch saturation attempts.
% 0.20/0.37  # There were 0 of these attempts blocked.
% 0.20/0.37  # There were 0 deferred branch saturation attempts.
% 0.20/0.37  # There were 0 free duplicated saturations.
% 0.20/0.37  # There were 1 total successful branch saturations.
% 0.20/0.37  # There were 0 successful branch saturations in interreduction.
% 0.20/0.37  # There were 0 successful branch saturations on the branch.
% 0.20/0.37  # There were 1 successful branch saturations after the branch.
% 0.20/0.37  # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.37  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.37  # Begin clausification derivation
% 0.20/0.37  
% 0.20/0.37  # End clausification derivation
% 0.20/0.37  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.20/0.37  cnf(i_0_25, plain, (linP(pE)=nil)).
% 0.20/0.37  cnf(i_0_5, plain, (proj1AP(aP(X1))=X1)).
% 0.20/0.37  cnf(i_0_6, plain, (proj1BP(bP(X1))=X1)).
% 0.20/0.37  cnf(i_0_19, plain, (append(nil,X1)=X1)).
% 0.20/0.37  cnf(i_0_23, plain, (linP(pA)=cons(a,nil))).
% 0.20/0.37  cnf(i_0_24, plain, (linP(pB)=cons(b,nil))).
% 0.20/0.37  cnf(i_0_1, plain, (head(cons(X1,X2))=X1)).
% 0.20/0.37  cnf(i_0_2, plain, (tail(cons(X1,X2))=X2)).
% 0.20/0.37  cnf(i_0_17, plain, (proj1C(c2(X1,X2))=X1)).
% 0.20/0.37  cnf(i_0_18, plain, (proj2C(c2(X1,X2))=X2)).
% 0.20/0.37  cnf(i_0_26, plain, (linC(c2(X1,X2))=append(linP(X1),linP(X2)))).
% 0.20/0.37  cnf(i_0_20, plain, (append(cons(X1,X2),X3)=cons(X1,append(X2,X3)))).
% 0.20/0.37  cnf(i_0_21, plain, (cons(a,append(linP(X1),cons(a,nil)))=linP(aP(X1)))).
% 0.20/0.37  cnf(i_0_22, plain, (cons(b,append(linP(X1),cons(b,nil)))=linP(bP(X1)))).
% 0.20/0.37  cnf(i_0_4, plain, (b!=a)).
% 0.20/0.37  cnf(i_0_14, plain, (pB!=pA)).
% 0.20/0.37  cnf(i_0_15, plain, (pE!=pA)).
% 0.20/0.37  cnf(i_0_16, plain, (pE!=pB)).
% 0.20/0.37  cnf(i_0_8, plain, (aP(X1)!=pA)).
% 0.20/0.37  cnf(i_0_9, plain, (aP(X1)!=pB)).
% 0.20/0.37  cnf(i_0_10, plain, (aP(X1)!=pE)).
% 0.20/0.37  cnf(i_0_11, plain, (bP(X1)!=pA)).
% 0.20/0.37  cnf(i_0_12, plain, (bP(X1)!=pB)).
% 0.20/0.37  cnf(i_0_13, plain, (bP(X1)!=pE)).
% 0.20/0.37  cnf(i_0_3, plain, (cons(X1,X2)!=nil)).
% 0.20/0.37  cnf(i_0_7, plain, (bP(X1)!=aP(X2))).
% 0.20/0.37  cnf(i_0_27, negated_conjecture, (X1=X2|linC(X1)!=linC(X2))).
% 0.20/0.37  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.20/0.37  # Begin printing tableau
% 0.20/0.37  # Found 5 steps
% 0.20/0.37  cnf(i_0_27, negated_conjecture, (b=a|linC(b)!=linC(a)), inference(start_rule)).
% 0.20/0.37  cnf(i_0_28, plain, (b=a), inference(closure_rule, [i_0_4])).
% 0.20/0.37  cnf(i_0_29, plain, (linC(b)!=linC(a)), inference(extension_rule, [i_0_27])).
% 0.20/0.37  cnf(i_0_31, plain, (linC(linC(b))!=linC(linC(a))), inference(extension_rule, [i_0_27])).
% 0.20/0.37  cnf(i_0_33, plain, (linC(linC(linC(b)))!=linC(linC(linC(a)))), inference(etableau_closure_rule, [i_0_33, ...])).
% 0.20/0.37  # End printing tableau
% 0.20/0.37  # SZS output end
% 0.20/0.37  # Branches closed with saturation will be marked with an "s"
% 0.20/0.37  # Returning from population with 1 new_tableaux and 0 remaining starting tableaux.
% 0.20/0.37  # We now have 1 tableaux to operate on
% 0.20/0.37  # Found closed tableau during pool population.
% 0.20/0.37  # Proof search is over...
% 0.20/0.37  # Freeing feature tree
%------------------------------------------------------------------------------