TSTP Solution File: RNG068+1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : RNG068+1 : TPTP v8.1.0. 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 : n023.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  : 600s
% DateTime : Mon Jul 18 20:27:15 EDT 2022

% Result   : Theorem 2.23s 2.42s
% Output   : CNFRefutation 2.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : RNG068+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon May 30 06:26:12 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.38  # No SInE strategy applied
% 0.19/0.38  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.38  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.19/0.38  #
% 0.19/0.38  # Presaturation interreduction done
% 0.19/0.38  # Number of axioms: 90 Number of unprocessed: 90
% 0.19/0.38  # Tableaux proof search.
% 0.19/0.38  # APR header successfully linked.
% 0.19/0.38  # Hello from C++
% 1.06/1.25  # The folding up rule is enabled...
% 1.06/1.25  # Local unification is enabled...
% 1.06/1.25  # Any saturation attempts will use folding labels...
% 1.06/1.25  # 90 beginning clauses after preprocessing and clausification
% 1.06/1.25  # Creating start rules for all 1 conjectures.
% 1.06/1.25  # There are 1 start rule candidates:
% 1.06/1.25  # Found 40 unit axioms.
% 1.06/1.25  # 1 start rule tableaux created.
% 1.06/1.25  # 50 extension rule candidate clauses
% 1.06/1.25  # 40 unit axiom clauses
% 1.06/1.25  
% 1.06/1.25  # Requested 8, 32 cores available to the main process.
% 1.06/1.25  # There are not enough tableaux to fork, creating more from the initial 1
% 2.23/2.42  # There were 11 total branch saturation attempts.
% 2.23/2.42  # There were 0 of these attempts blocked.
% 2.23/2.42  # There were 0 deferred branch saturation attempts.
% 2.23/2.42  # There were 2 free duplicated saturations.
% 2.23/2.42  # There were 11 total successful branch saturations.
% 2.23/2.42  # There were 0 successful branch saturations in interreduction.
% 2.23/2.42  # There were 0 successful branch saturations on the branch.
% 2.23/2.42  # There were 9 successful branch saturations after the branch.
% 2.23/2.42  # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.23/2.42  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.23/2.42  # Begin clausification derivation
% 2.23/2.42  
% 2.23/2.42  # End clausification derivation
% 2.23/2.42  # Begin listing active clauses obtained from FOF to CNF conversion
% 2.23/2.42  cnf(i_0_83, hypothesis, (aScalar0(xR))).
% 2.23/2.42  cnf(i_0_88, hypothesis, (sdtasdt0(xR,xS)=xN)).
% 2.23/2.42  cnf(i_0_85, hypothesis, (aScalar0(xP))).
% 2.23/2.42  cnf(i_0_87, hypothesis, (aScalar0(xS))).
% 2.23/2.42  cnf(i_0_91, hypothesis, (sdtlseqdt0(sdtasdt0(xP,xP),xN))).
% 2.23/2.42  cnf(i_0_62, hypothesis, (sziznziztdt0(xs)=xp)).
% 2.23/2.42  cnf(i_0_2, plain, (aNaturalNumber0(sz00))).
% 2.23/2.42  cnf(i_0_11, plain, (aScalar0(sz0z00))).
% 2.23/2.42  cnf(i_0_67, hypothesis, (aScalar0(xA))).
% 2.23/2.42  cnf(i_0_69, hypothesis, (aScalar0(xB))).
% 2.23/2.42  cnf(i_0_92, hypothesis, (sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))))).
% 2.23/2.42  cnf(i_0_71, hypothesis, (aScalar0(xC))).
% 2.23/2.42  cnf(i_0_73, hypothesis, (aScalar0(xD))).
% 2.23/2.42  cnf(i_0_75, hypothesis, (aScalar0(xE))).
% 2.23/2.42  cnf(i_0_64, hypothesis, (sziznziztdt0(xt)=xq)).
% 2.23/2.42  cnf(i_0_77, hypothesis, (aScalar0(xF))).
% 2.23/2.42  cnf(i_0_79, hypothesis, (aScalar0(xG))).
% 2.23/2.42  cnf(i_0_81, hypothesis, (aScalar0(xH))).
% 2.23/2.42  cnf(i_0_89, hypothesis, (aScalar0(xN))).
% 2.23/2.42  cnf(i_0_58, hypothesis, (aVector0(xs))).
% 2.23/2.42  cnf(i_0_57, hypothesis, (aVector0(xt))).
% 2.23/2.42  cnf(i_0_63, hypothesis, (aVector0(xp))).
% 2.23/2.42  cnf(i_0_65, hypothesis, (aVector0(xq))).
% 2.23/2.42  cnf(i_0_82, hypothesis, (sdtasdt0(xC,xG)=xR)).
% 2.23/2.42  cnf(i_0_60, hypothesis, (aDimensionOf0(xt)=aDimensionOf0(xs))).
% 2.23/2.42  cnf(i_0_84, hypothesis, (sdtasdt0(xE,xH)=xP)).
% 2.23/2.42  cnf(i_0_86, hypothesis, (sdtasdt0(xF,xD)=xS)).
% 2.23/2.42  cnf(i_0_76, hypothesis, (sdtasdt0(xA,xA)=xF)).
% 2.23/2.42  cnf(i_0_78, hypothesis, (sdtasdt0(xB,xB)=xG)).
% 2.23/2.42  cnf(i_0_80, hypothesis, (sdtasdt0(xA,xB)=xH)).
% 2.23/2.42  cnf(i_0_70, hypothesis, (sdtasasdt0(xp,xp)=xC)).
% 2.23/2.42  cnf(i_0_72, hypothesis, (sdtasasdt0(xq,xq)=xD)).
% 2.23/2.42  cnf(i_0_74, hypothesis, (sdtasasdt0(xp,xq)=xE)).
% 2.23/2.42  cnf(i_0_66, hypothesis, (sdtlbdtrb0(xs,aDimensionOf0(xs))=xA)).
% 2.23/2.42  cnf(i_0_68, hypothesis, (sdtlbdtrb0(xt,aDimensionOf0(xs))=xB)).
% 2.23/2.42  cnf(i_0_90, hypothesis, (sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)))).
% 2.23/2.42  cnf(i_0_93, hypothesis, (sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN),xN)))).
% 2.23/2.42  cnf(i_0_94, hypothesis, (sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),xN),sdtasdt0(xS,xS)),xN)=sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),xN),sdtpldt0(sdtasdt0(xS,xS),xN)))).
% 2.23/2.42  cnf(i_0_61, hypothesis, (aDimensionOf0(xs)!=sz00)).
% 2.23/2.42  cnf(i_0_95, negated_conjecture, (~sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),xN),sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(xS,xS)))))).
% 2.23/2.42  cnf(i_0_3, plain, (szszuzczcdt0(X1)!=sz00|~aNaturalNumber0(X1))).
% 2.23/2.42  cnf(i_0_34, plain, (sdtlseqdt0(X1,X1)|~aScalar0(X1))).
% 2.23/2.42  cnf(i_0_4, plain, (aNaturalNumber0(szszuzczcdt0(X1))|~aNaturalNumber0(X1))).
% 2.23/2.42  cnf(i_0_45, plain, (aNaturalNumber0(aDimensionOf0(X1))|~aVector0(X1))).
% 2.23/2.42  cnf(i_0_14, plain, (aScalar0(smndt0(X1))|~aScalar0(X1))).
% 2.23/2.42  cnf(i_0_15, plain, (smndt0(sz0z00)=sz0z00|~aScalar0(X1))).
% 2.23/2.42  cnf(i_0_9, plain, (iLess0(X1,szszuzczcdt0(X1))|~aNaturalNumber0(X1))).
% 2.23/2.42  cnf(i_0_16, plain, (smndt0(smndt0(X1))=X1|~aScalar0(X1))).
% 2.23/2.42  cnf(i_0_22, plain, (sdtpldt0(X1,sz0z00)=X1|~aScalar0(X1))).
% 2.23/2.42  cnf(i_0_20, plain, (sdtasdt0(X1,sz0z00)=sz0z00|~aScalar0(X1))).
% 2.23/2.42  cnf(i_0_19, plain, (sdtasdt0(sz0z00,X1)=sz0z00|~aScalar0(X1))).
% 2.23/2.42  cnf(i_0_21, plain, (sdtpldt0(sz0z00,X1)=X1|~aScalar0(X1))).
% 2.23/2.42  cnf(i_0_42, plain, (sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))|~aScalar0(X1))).
% 2.23/2.42  cnf(i_0_18, plain, (sdtpldt0(X1,smndt0(X1))=sz0z00|~aScalar0(X1))).
% 2.23/2.42  cnf(i_0_7, plain, (X1=X2|szszuzczcdt0(X1)!=szszuzczcdt0(X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 2.23/2.42  cnf(i_0_12, plain, (aScalar0(sdtpldt0(X1,X2))|~aScalar0(X2)|~aScalar0(X1))).
% 2.23/2.42  cnf(i_0_13, plain, (aScalar0(sdtasdt0(X1,X2))|~aScalar0(X2)|~aScalar0(X1))).
% 2.23/2.42  cnf(i_0_46, plain, (aScalar0(sdtlbdtrb0(X1,X2))|~aVector0(X1)|~aNaturalNumber0(X2))).
% 2.23/2.42  cnf(i_0_17, plain, (sdtpldt0(smndt0(X1),X1)=sz0z00|~aScalar0(X1))).
% 2.23/2.42  cnf(i_0_56, plain, (sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))|~aVector0(X1))).
% 2.23/2.42  cnf(i_0_6, plain, (X1=sz00|aNaturalNumber0(esk1_1(X1))|~aNaturalNumber0(X1))).
% 2.23/2.42  cnf(i_0_5, plain, (szszuzczcdt0(esk1_1(X1))=X1|X1=sz00|~aNaturalNumber0(X1))).
% 2.23/2.42  cnf(i_0_35, plain, (X1=X2|~sdtlseqdt0(X2,X1)|~sdtlseqdt0(X1,X2)|~aScalar0(X2)|~aScalar0(X1))).
% 2.23/2.42  cnf(i_0_51, plain, (aDimensionOf0(X1)=sz00|aVector0(sziznziztdt0(X1))|~aVector0(X1))).
% 2.23/2.42  cnf(i_0_53, plain, (aScalar0(sdtasasdt0(X1,X2))|aDimensionOf0(X1)!=aDimensionOf0(X2)|~aVector0(X2)|~aVector0(X1))).
% 2.23/2.42  cnf(i_0_39, plain, (sdtlseqdt0(X1,X2)|sdtlseqdt0(X2,X1)|~aScalar0(X2)|~aScalar0(X1))).
% 2.23/2.42  cnf(i_0_31, plain, (smndt0(sdtasdt0(X1,X2))=sdtasdt0(X1,smndt0(X2))|~aScalar0(X2)|~aScalar0(X1))).
% 2.23/2.42  cnf(i_0_30, plain, (smndt0(sdtasdt0(X1,X2))=sdtasdt0(smndt0(X1),X2)|~aScalar0(X2)|~aScalar0(X1))).
% 2.23/2.42  cnf(i_0_41, plain, (sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))|~sdtlseqdt0(sz0z00,X2)|~sdtlseqdt0(sz0z00,X1)|~aScalar0(X2)|~aScalar0(X1))).
% 2.23/2.42  cnf(i_0_40, plain, (sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))|~sdtlseqdt0(sz0z00,X2)|~sdtlseqdt0(sz0z00,X1)|~aScalar0(X2)|~aScalar0(X1))).
% 2.23/2.42  cnf(i_0_50, plain, (szszuzczcdt0(aDimensionOf0(sziznziztdt0(X1)))=aDimensionOf0(X1)|aDimensionOf0(X1)=sz00|~aVector0(X1))).
% 2.23/2.42  cnf(i_0_36, plain, (sdtlseqdt0(X1,X2)|~sdtlseqdt0(X3,X2)|~sdtlseqdt0(X1,X3)|~aScalar0(X2)|~aScalar0(X3)|~aScalar0(X1))).
% 2.23/2.42  cnf(i_0_54, plain, (sdtasasdt0(X1,X2)=sz0z00|aDimensionOf0(X1)!=aDimensionOf0(X2)|aDimensionOf0(X2)!=sz00|~aVector0(X2)|~aVector0(X1))).
% 2.23/2.42  cnf(i_0_25, plain, (sdtpldt0(X1,X2)=sdtpldt0(X2,X1)|~aScalar0(X3)|~aScalar0(X2)|~aScalar0(X1))).
% 2.23/2.42  cnf(i_0_23, plain, (sdtasdt0(X1,X2)=sdtasdt0(X2,X1)|~aScalar0(X3)|~aScalar0(X2)|~aScalar0(X1))).
% 2.23/2.42  cnf(i_0_32, plain, (sdtasdt0(smndt0(X1),smndt0(X2))=sdtasdt0(X1,X2)|~aScalar0(X2)|~aScalar0(X1))).
% 2.23/2.42  cnf(i_0_26, plain, (sdtpldt0(sdtpldt0(X1,X2),X3)=sdtpldt0(X1,sdtpldt0(X2,X3))|~aScalar0(X3)|~aScalar0(X2)|~aScalar0(X1))).
% 2.23/2.42  cnf(i_0_24, plain, (sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))|~aScalar0(X3)|~aScalar0(X2)|~aScalar0(X1))).
% 2.23/2.42  cnf(i_0_43, plain, (X1=X2|sdtasdt0(X1,X1)!=sdtasdt0(X2,X2)|~sdtlseqdt0(sz0z00,X2)|~sdtlseqdt0(sz0z00,X1)|~aScalar0(X2)|~aScalar0(X1))).
% 2.23/2.42  cnf(i_0_28, plain, (sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))=sdtasdt0(X1,sdtpldt0(X2,X3))|~aScalar0(X3)|~aScalar0(X2)|~aScalar0(X1))).
% 2.23/2.42  cnf(i_0_52, plain, (aDimensionOf0(sziznziztdt0(X1))=aDimensionOf0(sziznziztdt0(X2))|aDimensionOf0(X2)=sz00|aDimensionOf0(X1)!=aDimensionOf0(X2)|~aVector0(X2)|~aVector0(X1))).
% 2.23/2.42  cnf(i_0_27, plain, (sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2))=sdtasdt0(sdtpldt0(X1,X3),X2)|~aScalar0(X2)|~aScalar0(X3)|~aScalar0(X1))).
% 2.23/2.42  cnf(i_0_37, plain, (sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))|~sdtlseqdt0(X2,X4)|~sdtlseqdt0(X1,X3)|~aScalar0(X4)|~aScalar0(X2)|~aScalar0(X3)|~aScalar0(X1))).
% 2.23/2.42  cnf(i_0_49, plain, (sdtlbdtrb0(sziznziztdt0(X1),X2)=sdtlbdtrb0(X1,X2)|aDimensionOf0(X1)=sz00|~aVector0(X1)|~aNaturalNumber0(X2))).
% 2.23/2.42  cnf(i_0_48, plain, (aDimensionOf0(X1)=sz00|X2=sziznziztdt0(X1)|aNaturalNumber0(esk2_2(X1,X2))|szszuzczcdt0(aDimensionOf0(X2))!=aDimensionOf0(X1)|~aVector0(X2)|~aVector0(X1))).
% 2.23/2.42  cnf(i_0_38, plain, (sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X4))|~sdtlseqdt0(sz0z00,X2)|~sdtlseqdt0(X2,X4)|~sdtlseqdt0(X1,X3)|~aScalar0(X4)|~aScalar0(X2)|~aScalar0(X3)|~aScalar0(X1))).
% 2.23/2.42  cnf(i_0_47, plain, (aDimensionOf0(X1)=sz00|X2=sziznziztdt0(X1)|sdtlbdtrb0(X2,esk2_2(X1,X2))!=sdtlbdtrb0(X1,esk2_2(X1,X2))|szszuzczcdt0(aDimensionOf0(X2))!=aDimensionOf0(X1)|~aVector0(X1)|~aVector0(X2))).
% 2.23/2.42  cnf(i_0_29, plain, (sdtpldt0(sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)),sdtpldt0(sdtasdt0(X4,X2),sdtasdt0(X4,X3)))=sdtasdt0(sdtpldt0(X1,X4),sdtpldt0(X2,X3))|~aScalar0(X3)|~aScalar0(X2)|~aScalar0(X4)|~aScalar0(X1))).
% 2.23/2.42  cnf(i_0_59, hypothesis, (sdtlseqdt0(sdtasdt0(sdtasasdt0(X1,X2),sdtasasdt0(X1,X2)),sdtasdt0(sdtasasdt0(X1,X1),sdtasasdt0(X2,X2)))|aDimensionOf0(X1)!=aDimensionOf0(X2)|~aVector0(X2)|~aVector0(X1)|~iLess0(aDimensionOf0(X1),aDimensionOf0(xs)))).
% 2.23/2.42  cnf(i_0_55, plain, (sdtpldt0(sdtasasdt0(sziznziztdt0(X1),sziznziztdt0(X2)),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),sdtlbdtrb0(X2,aDimensionOf0(X2))))=sdtasasdt0(X1,X2)|aDimensionOf0(X2)=sz00|aDimensionOf0(X1)!=aDimensionOf0(X2)|~aVector0(X2)|~aVector0(X1))).
% 2.23/2.42  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 2.23/2.42  # Begin printing tableau
% 2.23/2.42  # Found 14 steps
% 2.23/2.42  cnf(i_0_95, negated_conjecture, (~sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),xN),sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(xS,xS))))), inference(start_rule)).
% 2.23/2.42  cnf(i_0_99, plain, (~sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),xN),sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(xS,xS))))), inference(extension_rule, [i_0_37])).
% 2.23/2.42  cnf(i_0_236, plain, (~sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(xS,xS)))), inference(extension_rule, [i_0_37])).
% 2.23/2.42  cnf(i_0_237, plain, (~sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),xN))), inference(etableau_closure_rule, [i_0_237, ...])).
% 2.23/2.42  cnf(i_0_238, plain, (~aScalar0(sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(xS,xS)))), inference(etableau_closure_rule, [i_0_238, ...])).
% 2.23/2.42  cnf(i_0_239, plain, (~aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))), inference(etableau_closure_rule, [i_0_239, ...])).
% 2.23/2.42  cnf(i_0_240, plain, (~aScalar0(sdtpldt0(sdtasdt0(xR,xR),xN))), inference(etableau_closure_rule, [i_0_240, ...])).
% 2.23/2.42  cnf(i_0_241, plain, (~aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))), inference(etableau_closure_rule, [i_0_241, ...])).
% 2.23/2.42  cnf(i_0_417, plain, (~sdtlseqdt0(sdtasdt0(xP,xP),sdtasdt0(xS,xS))), inference(etableau_closure_rule, [i_0_417, ...])).
% 2.23/2.42  cnf(i_0_418, plain, (~sdtlseqdt0(sdtasdt0(xP,xP),sdtasdt0(xS,xR))), inference(etableau_closure_rule, [i_0_418, ...])).
% 2.23/2.42  cnf(i_0_419, plain, (~aScalar0(sdtasdt0(xS,xS))), inference(etableau_closure_rule, [i_0_419, ...])).
% 2.23/2.42  cnf(i_0_420, plain, (~aScalar0(sdtasdt0(xP,xP))), inference(etableau_closure_rule, [i_0_420, ...])).
% 2.23/2.42  cnf(i_0_421, plain, (~aScalar0(sdtasdt0(xS,xR))), inference(etableau_closure_rule, [i_0_421, ...])).
% 2.23/2.42  cnf(i_0_422, plain, (~aScalar0(sdtasdt0(xP,xP))), inference(etableau_closure_rule, [i_0_422, ...])).
% 2.23/2.42  # End printing tableau
% 2.23/2.42  # SZS output end
% 2.23/2.42  # Branches closed with saturation will be marked with an "s"
% 2.23/2.42  # Returning from population with 4 new_tableaux and 0 remaining starting tableaux.
% 2.23/2.42  # We now have 4 tableaux to operate on
% 2.23/2.42  # Found closed tableau during pool population.
% 2.23/2.42  # Proof search is over...
% 2.23/2.42  # Freeing feature tree
%------------------------------------------------------------------------------