TSTP Solution File: LCL487+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL487+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n032.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 Aug 22 10:48:13 EDT 2023
% Result : Theorem 19.19s 9.25s
% Output : CNFRefutation 19.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 123
% Syntax : Number of formulae : 273 ( 116 unt; 92 typ; 0 def)
% Number of atoms : 257 ( 40 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 143 ( 67 ~; 55 |; 1 &)
% ( 13 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 6 >; 4 *; 0 +; 0 <<)
% Number of predicates : 34 ( 32 usr; 32 prp; 0-2 aty)
% Number of functors : 60 ( 60 usr; 55 con; 0-2 aty)
% Number of variables : 255 (; 255 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ is_a_theorem > or > implies > equiv > and > #nlpp > not > substitution_of_equivalents > r5 > r4 > r3 > r2 > r1 > or_3 > or_2 > or_1 > op_or > op_implies_or > op_implies_and > op_equiv > op_and > modus_tollens > modus_ponens > kn3 > kn2 > kn1 > implies_3 > implies_2 > implies_1 > equivalence_3 > equivalence_2 > equivalence_1 > cn3 > cn2 > cn1 > and_3 > and_2 > and_1 > #skF_33 > #skF_41 > #skF_52 > #skF_49 > #skF_20 > #skF_18 > #skF_17 > #skF_11 > #skF_31 > #skF_15 > #skF_25 > #skF_55 > #skF_38 > #skF_36 > #skF_54 > #skF_43 > #skF_19 > #skF_40 > #skF_48 > #skF_7 > #skF_37 > #skF_10 > #skF_16 > #skF_47 > #skF_26 > #skF_53 > #skF_14 > #skF_51 > #skF_5 > #skF_45 > #skF_46 > #skF_39 > #skF_6 > #skF_13 > #skF_2 > #skF_3 > #skF_1 > #skF_21 > #skF_9 > #skF_32 > #skF_50 > #skF_8 > #skF_30 > #skF_42 > #skF_4 > #skF_22 > #skF_29 > #skF_28 > #skF_35 > #skF_24 > #skF_27 > #skF_23 > #skF_44 > #skF_12 > #skF_34
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(implies_2,type,
implies_2: $o ).
tff(r1,type,
r1: $o ).
tff(equiv,type,
equiv: ( $i * $i ) > $i ).
tff('#skF_33',type,
'#skF_33': $i ).
tff('#skF_41',type,
'#skF_41': $i ).
tff(r3,type,
r3: $o ).
tff('#skF_52',type,
'#skF_52': $i ).
tff(equivalence_2,type,
equivalence_2: $o ).
tff('#skF_49',type,
'#skF_49': $i ).
tff(and_2,type,
and_2: $o ).
tff('#skF_20',type,
'#skF_20': $i ).
tff(op_implies_or,type,
op_implies_or: $o ).
tff('#skF_18',type,
'#skF_18': $i ).
tff('#skF_17',type,
'#skF_17': $i ).
tff(r5,type,
r5: $o ).
tff('#skF_11',type,
'#skF_11': $i ).
tff(kn3,type,
kn3: $o ).
tff('#skF_31',type,
'#skF_31': $i ).
tff('#skF_15',type,
'#skF_15': $i ).
tff('#skF_25',type,
'#skF_25': $i ).
tff(cn2,type,
cn2: $o ).
tff('#skF_55',type,
'#skF_55': $i ).
tff(r4,type,
r4: $o ).
tff('#skF_38',type,
'#skF_38': $i ).
tff('#skF_36',type,
'#skF_36': $i ).
tff('#skF_54',type,
'#skF_54': $i ).
tff('#skF_43',type,
'#skF_43': $i ).
tff(op_and,type,
op_and: $o ).
tff('#skF_19',type,
'#skF_19': $i ).
tff('#skF_40',type,
'#skF_40': $i ).
tff('#skF_48',type,
'#skF_48': $i ).
tff('#skF_7',type,
'#skF_7': $i ).
tff('#skF_37',type,
'#skF_37': $i ).
tff(and_3,type,
and_3: $o ).
tff(is_a_theorem,type,
is_a_theorem: $i > $o ).
tff(op_implies_and,type,
op_implies_and: $o ).
tff(equivalence_1,type,
equivalence_1: $o ).
tff('#skF_10',type,
'#skF_10': $i ).
tff(kn2,type,
kn2: $o ).
tff('#skF_16',type,
'#skF_16': $i ).
tff(equivalence_3,type,
equivalence_3: $o ).
tff(and_1,type,
and_1: $o ).
tff('#skF_47',type,
'#skF_47': $i ).
tff(cn1,type,
cn1: $o ).
tff('#skF_26',type,
'#skF_26': $i ).
tff('#skF_53',type,
'#skF_53': $i ).
tff('#skF_14',type,
'#skF_14': $i ).
tff('#skF_51',type,
'#skF_51': $i ).
tff(or_1,type,
or_1: $o ).
tff(implies_3,type,
implies_3: $o ).
tff('#skF_5',type,
'#skF_5': $i ).
tff('#skF_45',type,
'#skF_45': $i ).
tff('#skF_46',type,
'#skF_46': $i ).
tff('#skF_39',type,
'#skF_39': $i ).
tff(or,type,
or: ( $i * $i ) > $i ).
tff(modus_tollens,type,
modus_tollens: $o ).
tff(r2,type,
r2: $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_13',type,
'#skF_13': $i ).
tff(not,type,
not: $i > $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff(modus_ponens,type,
modus_ponens: $o ).
tff(op_or,type,
op_or: $o ).
tff('#skF_3',type,
'#skF_3': $i ).
tff(substitution_of_equivalents,type,
substitution_of_equivalents: $o ).
tff('#skF_1',type,
'#skF_1': $i ).
tff('#skF_21',type,
'#skF_21': $i ).
tff('#skF_9',type,
'#skF_9': $i ).
tff('#skF_32',type,
'#skF_32': $i ).
tff(op_equiv,type,
op_equiv: $o ).
tff('#skF_50',type,
'#skF_50': $i ).
tff('#skF_8',type,
'#skF_8': $i ).
tff('#skF_30',type,
'#skF_30': $i ).
tff('#skF_42',type,
'#skF_42': $i ).
tff(or_3,type,
or_3: $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_22',type,
'#skF_22': $i ).
tff(kn1,type,
kn1: $o ).
tff('#skF_29',type,
'#skF_29': $i ).
tff('#skF_28',type,
'#skF_28': $i ).
tff('#skF_35',type,
'#skF_35': $i ).
tff('#skF_24',type,
'#skF_24': $i ).
tff('#skF_27',type,
'#skF_27': $i ).
tff('#skF_23',type,
'#skF_23': $i ).
tff(and,type,
and: ( $i * $i ) > $i ).
tff(implies_1,type,
implies_1: $o ).
tff('#skF_44',type,
'#skF_44': $i ).
tff(implies,type,
implies: ( $i * $i ) > $i ).
tff(cn3,type,
cn3: $o ).
tff(or_2,type,
or_2: $o ).
tff('#skF_12',type,
'#skF_12': $i ).
tff('#skF_34',type,
'#skF_34': $i ).
tff(f_263,axiom,
op_equiv,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_op_equiv) ).
tff(f_214,axiom,
( op_equiv
=> ! [X,Y] : ( equiv(X,Y) = and(implies(X,Y),implies(Y,X)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+1.ax',op_equiv) ).
tff(f_262,axiom,
op_implies_and,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_op_implies_and) ).
tff(f_206,axiom,
( op_implies_and
=> ! [X,Y] : ( implies(X,Y) = not(and(X,not(Y))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+1.ax',op_implies_and) ).
tff(f_243,axiom,
op_implies_or,
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+4.ax',principia_op_implies_or) ).
tff(f_210,axiom,
( op_implies_or
=> ! [X,Y] : ( implies(X,Y) = or(not(X),Y) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+1.ax',op_implies_or) ).
tff(f_261,axiom,
op_or,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_op_or) ).
tff(f_198,axiom,
( op_or
=> ! [X,Y] : ( or(X,Y) = not(and(not(X),not(Y))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+1.ax',op_or) ).
tff(f_244,axiom,
op_and,
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+4.ax',principia_op_and) ).
tff(f_202,axiom,
( op_and
=> ! [X,Y] : ( and(X,Y) = not(or(not(X),not(Y))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+1.ax',op_and) ).
tff(f_250,axiom,
r2,
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+4.ax',principia_r2) ).
tff(f_155,axiom,
( r2
<=> ! [P,Q] : is_a_theorem(implies(Q,or(P,Q))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',r2) ).
tff(f_253,axiom,
r4,
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+4.ax',principia_r4) ).
tff(f_164,axiom,
( r4
<=> ! [P,Q,R] : is_a_theorem(implies(or(P,or(Q,R)),or(Q,or(P,R)))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',r4) ).
tff(f_247,axiom,
modus_ponens,
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+4.ax',principia_modus_ponens) ).
tff(f_60,axiom,
( modus_ponens
<=> ! [X,Y] :
( ( is_a_theorem(X)
& is_a_theorem(implies(X,Y)) )
=> is_a_theorem(Y) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',modus_ponens) ).
tff(f_249,axiom,
r1,
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+4.ax',principia_r1) ).
tff(f_151,axiom,
( r1
<=> ! [P] : is_a_theorem(implies(or(P,P),P)) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',r1) ).
tff(f_251,axiom,
r3,
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+4.ax',principia_r3) ).
tff(f_159,axiom,
( r3
<=> ! [P,Q] : is_a_theorem(implies(or(P,Q),or(Q,P))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',r3) ).
tff(f_72,axiom,
( modus_tollens
<=> ! [X,Y] : is_a_theorem(implies(implies(not(Y),not(X)),implies(X,Y))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',modus_tollens) ).
tff(f_125,axiom,
( kn1
<=> ! [P] : is_a_theorem(implies(P,and(P,P))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',kn1) ).
tff(f_76,axiom,
( implies_1
<=> ! [X,Y] : is_a_theorem(implies(X,implies(Y,X))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',implies_1) ).
tff(f_257,axiom,
substitution_of_equivalents,
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+4.ax',substitution_of_equivalents) ).
tff(f_67,axiom,
( substitution_of_equivalents
<=> ! [X,Y] :
( is_a_theorem(equiv(X,Y))
=> ( X = Y ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',substitution_of_equivalents) ).
tff(f_92,axiom,
( and_2
<=> ! [X,Y] : is_a_theorem(implies(and(X,Y),Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',and_2) ).
tff(f_254,axiom,
r5,
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+4.ax',principia_r5) ).
tff(f_168,axiom,
( r5
<=> ! [P,Q,R] : is_a_theorem(implies(implies(Q,R),implies(or(P,Q),or(P,R)))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',r5) ).
tff(f_129,axiom,
( kn2
<=> ! [P,Q] : is_a_theorem(implies(and(P,Q),P)) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',kn2) ).
tff(f_265,negated_conjecture,
~ and_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_and_1) ).
tff(f_88,axiom,
( and_1
<=> ! [X,Y] : is_a_theorem(implies(and(X,Y),X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',and_1) ).
tff(c_146,plain,
op_equiv,
inference(cnfTransformation,[status(thm)],[f_263]) ).
tff(c_120,plain,
! [X_64,Y_65] :
( ( and(implies(X_64,Y_65),implies(Y_65,X_64)) = equiv(X_64,Y_65) )
| ~ op_equiv ),
inference(cnfTransformation,[status(thm)],[f_214]) ).
tff(c_151,plain,
! [X_64,Y_65] : ( and(implies(X_64,Y_65),implies(Y_65,X_64)) = equiv(X_64,Y_65) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_120]) ).
tff(c_144,plain,
op_implies_and,
inference(cnfTransformation,[status(thm)],[f_262]) ).
tff(c_116,plain,
! [X_60,Y_61] :
( ( not(and(X_60,not(Y_61))) = implies(X_60,Y_61) )
| ~ op_implies_and ),
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_155,plain,
! [X_60,Y_61] : ( not(and(X_60,not(Y_61))) = implies(X_60,Y_61) ),
inference(demodulation,[status(thm),theory(equality)],[c_144,c_116]) ).
tff(c_5277,plain,
! [X_394,Y_395] : ( not(and(X_394,not(Y_395))) = implies(X_394,Y_395) ),
inference(demodulation,[status(thm),theory(equality)],[c_144,c_116]) ).
tff(c_5295,plain,
! [X_394,X_60,Y_61] : ( implies(X_394,and(X_60,not(Y_61))) = not(and(X_394,implies(X_60,Y_61))) ),
inference(superposition,[status(thm),theory(equality)],[c_155,c_5277]) ).
tff(c_122,plain,
op_implies_or,
inference(cnfTransformation,[status(thm)],[f_243]) ).
tff(c_118,plain,
! [X_62,Y_63] :
( ( or(not(X_62),Y_63) = implies(X_62,Y_63) )
| ~ op_implies_or ),
inference(cnfTransformation,[status(thm)],[f_210]) ).
tff(c_153,plain,
! [X_62,Y_63] : ( or(not(X_62),Y_63) = implies(X_62,Y_63) ),
inference(demodulation,[status(thm),theory(equality)],[c_122,c_118]) ).
tff(c_142,plain,
op_or,
inference(cnfTransformation,[status(thm)],[f_261]) ).
tff(c_112,plain,
! [X_56,Y_57] :
( ( not(and(not(X_56),not(Y_57))) = or(X_56,Y_57) )
| ~ op_or ),
inference(cnfTransformation,[status(thm)],[f_198]) ).
tff(c_159,plain,
! [X_56,Y_57] : ( implies(not(X_56),Y_57) = or(X_56,Y_57) ),
inference(demodulation,[status(thm),theory(equality)],[c_142,c_155,c_112]) ).
tff(c_6678,plain,
! [X_497,Y_498] : ( and(implies(X_497,Y_498),implies(Y_498,X_497)) = equiv(X_497,Y_498) ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_120]) ).
tff(c_11688,plain,
! [X_736,Y_737] : ( and(or(X_736,Y_737),implies(Y_737,not(X_736))) = equiv(not(X_736),Y_737) ),
inference(superposition,[status(thm),theory(equality)],[c_159,c_6678]) ).
tff(c_124,plain,
op_and,
inference(cnfTransformation,[status(thm)],[f_244]) ).
tff(c_114,plain,
! [X_58,Y_59] :
( ( not(or(not(X_58),not(Y_59))) = and(X_58,Y_59) )
| ~ op_and ),
inference(cnfTransformation,[status(thm)],[f_202]) ).
tff(c_5323,plain,
! [X_400,Y_401] : ( not(implies(X_400,not(Y_401))) = and(X_400,Y_401) ),
inference(demodulation,[status(thm),theory(equality)],[c_124,c_153,c_114]) ).
tff(c_157,plain,
! [X_58,Y_59] : ( not(implies(X_58,not(Y_59))) = and(X_58,Y_59) ),
inference(demodulation,[status(thm),theory(equality)],[c_124,c_153,c_114]) ).
tff(c_5326,plain,
! [X_58,X_400,Y_401] : ( and(X_58,implies(X_400,not(Y_401))) = not(implies(X_58,and(X_400,Y_401))) ),
inference(superposition,[status(thm),theory(equality)],[c_5323,c_157]) ).
tff(c_21768,plain,
! [X_1131,Y_1132] : ( not(implies(or(X_1131,Y_1132),and(Y_1132,X_1131))) = equiv(not(X_1131),Y_1132) ),
inference(superposition,[status(thm),theory(equality)],[c_11688,c_5326]) ).
tff(c_22406,plain,
! [X_62,Y_63] : ( not(implies(implies(X_62,Y_63),and(Y_63,not(X_62)))) = equiv(not(not(X_62)),Y_63) ),
inference(superposition,[status(thm),theory(equality)],[c_153,c_21768]) ).
tff(c_26078,plain,
! [X_1317,Y_1318] : ( equiv(not(not(X_1317)),Y_1318) = not(not(equiv(X_1317,Y_1318))) ),
inference(demodulation,[status(thm),theory(equality)],[c_151,c_5295,c_22406]) ).
tff(c_5199,plain,
! [X_384,Y_385] : ( implies(not(X_384),Y_385) = or(X_384,Y_385) ),
inference(demodulation,[status(thm),theory(equality)],[c_142,c_155,c_112]) ).
tff(c_132,plain,
r2,
inference(cnfTransformation,[status(thm)],[f_250]) ).
tff(c_98,plain,
! [Q_47,P_46] :
( is_a_theorem(implies(Q_47,or(P_46,Q_47)))
| ~ r2 ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_173,plain,
! [Q_47,P_46] : is_a_theorem(implies(Q_47,or(P_46,Q_47))),
inference(demodulation,[status(thm),theory(equality)],[c_132,c_98]) ).
tff(c_5210,plain,
! [X_384,P_46] : is_a_theorem(or(X_384,or(P_46,not(X_384)))),
inference(superposition,[status(thm),theory(equality)],[c_5199,c_173]) ).
tff(c_136,plain,
r4,
inference(cnfTransformation,[status(thm)],[f_253]) ).
tff(c_106,plain,
! [P_50,Q_51,R_52] :
( is_a_theorem(implies(or(P_50,or(Q_51,R_52)),or(Q_51,or(P_50,R_52))))
| ~ r4 ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_6845,plain,
! [P_509,Q_510,R_511] : is_a_theorem(implies(or(P_509,or(Q_510,R_511)),or(Q_510,or(P_509,R_511)))),
inference(demodulation,[status(thm),theory(equality)],[c_136,c_106]) ).
tff(c_128,plain,
modus_ponens,
inference(cnfTransformation,[status(thm)],[f_247]) ).
tff(c_2,plain,
! [Y_2,X_1] :
( is_a_theorem(Y_2)
| ~ is_a_theorem(implies(X_1,Y_2))
| ~ is_a_theorem(X_1)
| ~ modus_ponens ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_201,plain,
! [Y_2,X_1] :
( is_a_theorem(Y_2)
| ~ is_a_theorem(implies(X_1,Y_2))
| ~ is_a_theorem(X_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_128,c_2]) ).
tff(c_13272,plain,
! [Q_788,P_789,R_790] :
( is_a_theorem(or(Q_788,or(P_789,R_790)))
| ~ is_a_theorem(or(P_789,or(Q_788,R_790))) ),
inference(resolution,[status(thm)],[c_6845,c_201]) ).
tff(c_13338,plain,
! [P_791,X_792] : is_a_theorem(or(P_791,or(X_792,not(X_792)))),
inference(resolution,[status(thm)],[c_5210,c_13272]) ).
tff(c_130,plain,
r1,
inference(cnfTransformation,[status(thm)],[f_249]) ).
tff(c_94,plain,
! [P_45] :
( is_a_theorem(implies(or(P_45,P_45),P_45))
| ~ r1 ),
inference(cnfTransformation,[status(thm)],[f_151]) ).
tff(c_177,plain,
! [P_45] : is_a_theorem(implies(or(P_45,P_45),P_45)),
inference(demodulation,[status(thm),theory(equality)],[c_130,c_94]) ).
tff(c_5360,plain,
! [Y_402,X_403] :
( is_a_theorem(Y_402)
| ~ is_a_theorem(implies(X_403,Y_402))
| ~ is_a_theorem(X_403) ),
inference(demodulation,[status(thm),theory(equality)],[c_128,c_2]) ).
tff(c_5387,plain,
! [P_45] :
( is_a_theorem(P_45)
| ~ is_a_theorem(or(P_45,P_45)) ),
inference(resolution,[status(thm)],[c_177,c_5360]) ).
tff(c_13403,plain,
! [X_793] : is_a_theorem(or(X_793,not(X_793))),
inference(resolution,[status(thm)],[c_13338,c_5387]) ).
tff(c_134,plain,
r3,
inference(cnfTransformation,[status(thm)],[f_251]) ).
tff(c_102,plain,
! [P_48,Q_49] :
( is_a_theorem(implies(or(P_48,Q_49),or(Q_49,P_48)))
| ~ r3 ),
inference(cnfTransformation,[status(thm)],[f_159]) ).
tff(c_5315,plain,
! [P_398,Q_399] : is_a_theorem(implies(or(P_398,Q_399),or(Q_399,P_398))),
inference(demodulation,[status(thm),theory(equality)],[c_134,c_102]) ).
tff(c_5321,plain,
! [Y_63,X_62] : is_a_theorem(implies(or(Y_63,not(X_62)),implies(X_62,Y_63))),
inference(superposition,[status(thm),theory(equality)],[c_153,c_5315]) ).
tff(c_18,plain,
! [Y_6,X_5] :
( is_a_theorem(implies(implies(not(Y_6),not(X_5)),implies(X_5,Y_6)))
| ~ modus_tollens ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_191,plain,
! [Y_6,X_5] :
( is_a_theorem(implies(or(Y_6,not(X_5)),implies(X_5,Y_6)))
| ~ modus_tollens ),
inference(demodulation,[status(thm),theory(equality)],[c_159,c_18]) ).
tff(c_5857,plain,
~ modus_tollens,
inference(splitLeft,[status(thm)],[c_191]) ).
tff(c_16,plain,
( modus_tollens
| ~ is_a_theorem(implies(implies(not('#skF_6'),not('#skF_5')),implies('#skF_5','#skF_6'))) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_192,plain,
( modus_tollens
| ~ is_a_theorem(implies(or('#skF_6',not('#skF_5')),implies('#skF_5','#skF_6'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_159,c_16]) ).
tff(c_6002,plain,
~ is_a_theorem(implies(or('#skF_6',not('#skF_5')),implies('#skF_5','#skF_6'))),
inference(negUnitSimplification,[status(thm)],[c_5857,c_192]) ).
tff(c_6492,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5321,c_6002]) ).
tff(c_6535,plain,
! [Y_485,X_486] : is_a_theorem(implies(or(Y_485,not(X_486)),implies(X_486,Y_485))),
inference(splitRight,[status(thm)],[c_191]) ).
tff(c_6552,plain,
! [X_486,Y_485] :
( is_a_theorem(implies(X_486,Y_485))
| ~ is_a_theorem(or(Y_485,not(X_486))) ),
inference(resolution,[status(thm)],[c_6535,c_201]) ).
tff(c_13439,plain,
! [X_793] : is_a_theorem(implies(X_793,X_793)),
inference(resolution,[status(thm)],[c_13403,c_6552]) ).
tff(c_308,plain,
! [X_85,Y_86] : ( not(implies(X_85,not(Y_86))) = and(X_85,Y_86) ),
inference(demodulation,[status(thm),theory(equality)],[c_124,c_153,c_114]) ).
tff(c_323,plain,
! [X_85,Y_86,Y_63] : ( implies(implies(X_85,not(Y_86)),Y_63) = or(and(X_85,Y_86),Y_63) ),
inference(superposition,[status(thm),theory(equality)],[c_308,c_153]) ).
tff(c_263,plain,
! [X_77,Y_78] : ( or(not(X_77),Y_78) = implies(X_77,Y_78) ),
inference(demodulation,[status(thm),theory(equality)],[c_122,c_118]) ).
tff(c_273,plain,
! [X_77] : is_a_theorem(implies(implies(X_77,not(X_77)),not(X_77))),
inference(superposition,[status(thm),theory(equality)],[c_263,c_177]) ).
tff(c_2356,plain,
! [X_215] : is_a_theorem(or(and(X_215,X_215),not(X_215))),
inference(demodulation,[status(thm),theory(equality)],[c_323,c_273]) ).
tff(c_301,plain,
! [P_83,Q_84] : is_a_theorem(implies(or(P_83,Q_84),or(Q_84,P_83))),
inference(demodulation,[status(thm),theory(equality)],[c_134,c_102]) ).
tff(c_307,plain,
! [Y_63,X_62] : is_a_theorem(implies(or(Y_63,not(X_62)),implies(X_62,Y_63))),
inference(superposition,[status(thm),theory(equality)],[c_153,c_301]) ).
tff(c_619,plain,
~ is_a_theorem(implies(or('#skF_6',not('#skF_5')),implies('#skF_5','#skF_6'))),
inference(splitLeft,[status(thm)],[c_192]) ).
tff(c_1207,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_307,c_619]) ).
tff(c_1208,plain,
modus_tollens,
inference(splitRight,[status(thm)],[c_192]) ).
tff(c_1301,plain,
! [Y_148,X_149] : is_a_theorem(implies(or(Y_148,not(X_149)),implies(X_149,Y_148))),
inference(demodulation,[status(thm),theory(equality)],[c_1208,c_191]) ).
tff(c_1318,plain,
! [X_149,Y_148] :
( is_a_theorem(implies(X_149,Y_148))
| ~ is_a_theorem(or(Y_148,not(X_149))) ),
inference(resolution,[status(thm)],[c_1301,c_201]) ).
tff(c_2383,plain,
! [X_215] : is_a_theorem(implies(X_215,and(X_215,X_215))),
inference(resolution,[status(thm)],[c_2356,c_1318]) ).
tff(c_68,plain,
( kn1
| ~ is_a_theorem(implies('#skF_33',and('#skF_33','#skF_33'))) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_205,plain,
~ is_a_theorem(implies('#skF_33',and('#skF_33','#skF_33'))),
inference(splitLeft,[status(thm)],[c_68]) ).
tff(c_2388,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2383,c_205]) ).
tff(c_2389,plain,
kn1,
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_70,plain,
! [P_33] :
( is_a_theorem(implies(P_33,and(P_33,P_33)))
| ~ kn1 ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_5188,plain,
! [P_33] : is_a_theorem(implies(P_33,and(P_33,P_33))),
inference(demodulation,[status(thm),theory(equality)],[c_2389,c_70]) ).
tff(c_5385,plain,
! [P_33] :
( is_a_theorem(and(P_33,P_33))
| ~ is_a_theorem(P_33) ),
inference(resolution,[status(thm)],[c_5188,c_5360]) ).
tff(c_6685,plain,
! [Y_498] :
( is_a_theorem(equiv(Y_498,Y_498))
| ~ is_a_theorem(implies(Y_498,Y_498)) ),
inference(superposition,[status(thm),theory(equality)],[c_6678,c_5385]) ).
tff(c_13448,plain,
! [Y_498] : is_a_theorem(equiv(Y_498,Y_498)),
inference(demodulation,[status(thm),theory(equality)],[c_13439,c_6685]) ).
tff(c_26223,plain,
! [X_1319] : is_a_theorem(not(not(equiv(X_1319,not(not(X_1319)))))),
inference(superposition,[status(thm),theory(equality)],[c_26078,c_13448]) ).
tff(c_5218,plain,
! [X_386,Y_387] : ( or(not(X_386),Y_387) = implies(X_386,Y_387) ),
inference(demodulation,[status(thm),theory(equality)],[c_122,c_118]) ).
tff(c_5224,plain,
! [Y_387,X_386] : is_a_theorem(implies(Y_387,implies(X_386,Y_387))),
inference(superposition,[status(thm),theory(equality)],[c_5218,c_173]) ).
tff(c_22,plain,
! [X_7,Y_8] :
( is_a_theorem(implies(X_7,implies(Y_8,X_7)))
| ~ implies_1 ),
inference(cnfTransformation,[status(thm)],[f_76]) ).
tff(c_5216,plain,
~ implies_1,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_20,plain,
( implies_1
| ~ is_a_theorem(implies('#skF_7',implies('#skF_8','#skF_7'))) ),
inference(cnfTransformation,[status(thm)],[f_76]) ).
tff(c_5217,plain,
~ is_a_theorem(implies('#skF_7',implies('#skF_8','#skF_7'))),
inference(negUnitSimplification,[status(thm)],[c_5216,c_20]) ).
tff(c_5237,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5224,c_5217]) ).
tff(c_5241,plain,
! [X_388,Y_389] : is_a_theorem(implies(X_388,implies(Y_389,X_388))),
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_5268,plain,
! [X_392,Y_393] : is_a_theorem(or(X_392,implies(Y_393,not(X_392)))),
inference(superposition,[status(thm),theory(equality)],[c_159,c_5241]) ).
tff(c_6588,plain,
! [X_489,Y_490] : is_a_theorem(implies(X_489,implies(Y_490,not(not(X_489))))),
inference(superposition,[status(thm),theory(equality)],[c_153,c_5268]) ).
tff(c_7485,plain,
! [X_541,Y_542] : is_a_theorem(or(X_541,implies(Y_542,not(not(not(X_541)))))),
inference(superposition,[status(thm),theory(equality)],[c_159,c_6588]) ).
tff(c_169,plain,
! [P_48,Q_49] : is_a_theorem(implies(or(P_48,Q_49),or(Q_49,P_48))),
inference(demodulation,[status(thm),theory(equality)],[c_134,c_102]) ).
tff(c_5382,plain,
! [Q_49,P_48] :
( is_a_theorem(or(Q_49,P_48))
| ~ is_a_theorem(or(P_48,Q_49)) ),
inference(resolution,[status(thm)],[c_169,c_5360]) ).
tff(c_7627,plain,
! [Y_548,X_549] : is_a_theorem(or(implies(Y_548,not(not(not(X_549)))),X_549)),
inference(resolution,[status(thm)],[c_7485,c_5382]) ).
tff(c_5369,plain,
! [Y_57,X_56] :
( is_a_theorem(Y_57)
| ~ is_a_theorem(or(X_56,Y_57))
| ~ is_a_theorem(not(X_56)) ),
inference(superposition,[status(thm),theory(equality)],[c_159,c_5360]) ).
tff(c_7634,plain,
! [X_549,Y_548] :
( is_a_theorem(X_549)
| ~ is_a_theorem(not(implies(Y_548,not(not(not(X_549)))))) ),
inference(resolution,[status(thm)],[c_7627,c_5369]) ).
tff(c_7655,plain,
! [X_550,Y_551] :
( is_a_theorem(X_550)
| ~ is_a_theorem(and(Y_551,not(not(X_550)))) ),
inference(demodulation,[status(thm),theory(equality)],[c_157,c_7634]) ).
tff(c_7677,plain,
! [X_550] :
( is_a_theorem(X_550)
| ~ is_a_theorem(not(not(X_550))) ),
inference(resolution,[status(thm)],[c_5385,c_7655]) ).
tff(c_26265,plain,
! [X_1320] : is_a_theorem(equiv(X_1320,not(not(X_1320)))),
inference(resolution,[status(thm)],[c_26223,c_7677]) ).
tff(c_140,plain,
substitution_of_equivalents,
inference(cnfTransformation,[status(thm)],[f_257]) ).
tff(c_10,plain,
! [Y_4,X_3] :
( ( Y_4 = X_3 )
| ~ is_a_theorem(equiv(X_3,Y_4))
| ~ substitution_of_equivalents ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_196,plain,
! [Y_4,X_3] :
( ( Y_4 = X_3 )
| ~ is_a_theorem(equiv(X_3,Y_4)) ),
inference(demodulation,[status(thm),theory(equality)],[c_140,c_10]) ).
tff(c_26452,plain,
! [X_1321] : ( not(not(X_1321)) = X_1321 ),
inference(resolution,[status(thm)],[c_26265,c_196]) ).
tff(c_26865,plain,
! [X_60,X_1321] : ( implies(X_60,not(X_1321)) = not(and(X_60,X_1321)) ),
inference(superposition,[status(thm),theory(equality)],[c_26452,c_155]) ).
tff(c_5341,plain,
! [X_400,Y_401,Y_63] : ( implies(implies(X_400,not(Y_401)),Y_63) = or(and(X_400,Y_401),Y_63) ),
inference(superposition,[status(thm),theory(equality)],[c_5323,c_153]) ).
tff(c_6548,plain,
! [X_62,X_486] : is_a_theorem(implies(implies(X_62,not(X_486)),implies(X_486,not(X_62)))),
inference(superposition,[status(thm),theory(equality)],[c_153,c_6535]) ).
tff(c_8488,plain,
! [X_62,X_486] : is_a_theorem(or(and(X_62,X_486),implies(X_486,not(X_62)))),
inference(demodulation,[status(thm),theory(equality)],[c_5341,c_6548]) ).
tff(c_27695,plain,
! [X_62,X_486] : is_a_theorem(or(and(X_62,X_486),not(and(X_486,X_62)))),
inference(demodulation,[status(thm),theory(equality)],[c_26865,c_8488]) ).
tff(c_5344,plain,
! [X_400,Y_401,Y_57] : ( or(implies(X_400,not(Y_401)),Y_57) = implies(and(X_400,Y_401),Y_57) ),
inference(superposition,[status(thm),theory(equality)],[c_5323,c_159]) ).
tff(c_8892,plain,
! [X_600,Y_601,Y_602] : ( implies(and(X_600,not(Y_601)),Y_602) = or(implies(X_600,Y_601),Y_602) ),
inference(superposition,[status(thm),theory(equality)],[c_5277,c_153]) ).
tff(c_2476,plain,
! [X_229,Y_230] : ( not(implies(X_229,not(Y_230))) = and(X_229,Y_230) ),
inference(demodulation,[status(thm),theory(equality)],[c_124,c_153,c_114]) ).
tff(c_2494,plain,
! [X_229,Y_230,Y_57] : ( or(implies(X_229,not(Y_230)),Y_57) = implies(and(X_229,Y_230),Y_57) ),
inference(superposition,[status(thm),theory(equality)],[c_2476,c_159]) ).
tff(c_2420,plain,
! [X_219,Y_220] : ( or(not(X_219),Y_220) = implies(X_219,Y_220) ),
inference(demodulation,[status(thm),theory(equality)],[c_122,c_118]) ).
tff(c_2436,plain,
! [Y_221,X_222] : is_a_theorem(implies(Y_221,implies(X_222,Y_221))),
inference(superposition,[status(thm),theory(equality)],[c_2420,c_173]) ).
tff(c_2443,plain,
! [X_56,X_222] : is_a_theorem(or(X_56,implies(X_222,not(X_56)))),
inference(superposition,[status(thm),theory(equality)],[c_159,c_2436]) ).
tff(c_2507,plain,
! [Y_231,X_232] :
( is_a_theorem(Y_231)
| ~ is_a_theorem(implies(X_232,Y_231))
| ~ is_a_theorem(X_232) ),
inference(demodulation,[status(thm),theory(equality)],[c_128,c_2]) ).
tff(c_2664,plain,
! [Q_242,P_243] :
( is_a_theorem(or(Q_242,P_243))
| ~ is_a_theorem(or(P_243,Q_242)) ),
inference(resolution,[status(thm)],[c_169,c_2507]) ).
tff(c_2677,plain,
! [X_222,X_56] : is_a_theorem(or(implies(X_222,not(X_56)),X_56)),
inference(resolution,[status(thm)],[c_2443,c_2664]) ).
tff(c_5005,plain,
! [X_222,X_56] : is_a_theorem(implies(and(X_222,X_56),X_56)),
inference(demodulation,[status(thm),theory(equality)],[c_2494,c_2677]) ).
tff(c_38,plain,
! [X_16,Y_17] :
( is_a_theorem(implies(and(X_16,Y_17),Y_17))
| ~ and_2 ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_2391,plain,
~ and_2,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_36,plain,
( and_2
| ~ is_a_theorem(implies(and('#skF_16','#skF_17'),'#skF_17')) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_2399,plain,
~ is_a_theorem(implies(and('#skF_16','#skF_17'),'#skF_17')),
inference(negUnitSimplification,[status(thm)],[c_2391,c_36]) ).
tff(c_5184,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5005,c_2399]) ).
tff(c_5185,plain,
! [X_16,Y_17] : is_a_theorem(implies(and(X_16,Y_17),Y_17)),
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_9055,plain,
! [X_603,Y_604] : is_a_theorem(or(implies(X_603,Y_604),not(Y_604))),
inference(superposition,[status(thm),theory(equality)],[c_8892,c_5185]) ).
tff(c_9073,plain,
! [X_400,Y_401] : is_a_theorem(implies(and(X_400,Y_401),not(not(Y_401)))),
inference(superposition,[status(thm),theory(equality)],[c_5344,c_9055]) ).
tff(c_7109,plain,
! [X_525,Y_526] :
( is_a_theorem(implies(X_525,Y_526))
| ~ is_a_theorem(or(Y_526,not(X_525))) ),
inference(resolution,[status(thm)],[c_6535,c_201]) ).
tff(c_10302,plain,
! [X_678,X_679] :
( is_a_theorem(implies(X_678,not(X_679)))
| ~ is_a_theorem(implies(X_679,not(X_678))) ),
inference(superposition,[status(thm),theory(equality)],[c_153,c_7109]) ).
tff(c_10306,plain,
! [Y_401,X_400] : is_a_theorem(implies(not(Y_401),not(and(X_400,Y_401)))),
inference(resolution,[status(thm)],[c_9073,c_10302]) ).
tff(c_10344,plain,
! [Y_401,X_400] : is_a_theorem(or(Y_401,not(and(X_400,Y_401)))),
inference(demodulation,[status(thm),theory(equality)],[c_159,c_10306]) ).
tff(c_138,plain,
r5,
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_110,plain,
! [Q_54,R_55,P_53] :
( is_a_theorem(implies(implies(Q_54,R_55),implies(or(P_53,Q_54),or(P_53,R_55))))
| ~ r5 ),
inference(cnfTransformation,[status(thm)],[f_168]) ).
tff(c_6777,plain,
! [Q_502,R_503,P_504] : is_a_theorem(implies(implies(Q_502,R_503),implies(or(P_504,Q_502),or(P_504,R_503)))),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_110]) ).
tff(c_9556,plain,
! [P_639,Q_640,R_641] :
( is_a_theorem(implies(or(P_639,Q_640),or(P_639,R_641)))
| ~ is_a_theorem(implies(Q_640,R_641)) ),
inference(resolution,[status(thm)],[c_6777,c_201]) ).
tff(c_31279,plain,
! [P_1415,R_1416,Q_1417] :
( is_a_theorem(or(P_1415,R_1416))
| ~ is_a_theorem(or(P_1415,Q_1417))
| ~ is_a_theorem(implies(Q_1417,R_1416)) ),
inference(resolution,[status(thm)],[c_9556,c_201]) ).
tff(c_31395,plain,
! [Y_401,R_1416,X_400] :
( is_a_theorem(or(Y_401,R_1416))
| ~ is_a_theorem(implies(not(and(X_400,Y_401)),R_1416)) ),
inference(resolution,[status(thm)],[c_10344,c_31279]) ).
tff(c_42864,plain,
! [Y_1789,R_1790,X_1791] :
( is_a_theorem(or(Y_1789,R_1790))
| ~ is_a_theorem(or(and(X_1791,Y_1789),R_1790)) ),
inference(demodulation,[status(thm),theory(equality)],[c_159,c_31395]) ).
tff(c_43166,plain,
! [X_1792,X_1793] : is_a_theorem(or(X_1792,not(and(X_1792,X_1793)))),
inference(resolution,[status(thm)],[c_27695,c_42864]) ).
tff(c_43229,plain,
! [X_1792,X_1793] : is_a_theorem(implies(and(X_1792,X_1793),X_1792)),
inference(resolution,[status(thm)],[c_43166,c_6552]) ).
tff(c_72,plain,
( kn2
| ~ is_a_theorem(implies(and('#skF_34','#skF_35'),'#skF_34')) ),
inference(cnfTransformation,[status(thm)],[f_129]) ).
tff(c_5196,plain,
~ is_a_theorem(implies(and('#skF_34','#skF_35'),'#skF_34')),
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_43244,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_43229,c_5196]) ).
tff(c_43245,plain,
kn2,
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_74,plain,
! [P_34,Q_35] :
( is_a_theorem(implies(and(P_34,Q_35),P_34))
| ~ kn2 ),
inference(cnfTransformation,[status(thm)],[f_129]) ).
tff(c_43292,plain,
! [P_34,Q_35] : is_a_theorem(implies(and(P_34,Q_35),P_34)),
inference(demodulation,[status(thm),theory(equality)],[c_43245,c_74]) ).
tff(c_148,plain,
~ and_1,
inference(cnfTransformation,[status(thm)],[f_265]) ).
tff(c_32,plain,
( and_1
| ~ is_a_theorem(implies(and('#skF_14','#skF_15'),'#skF_14')) ),
inference(cnfTransformation,[status(thm)],[f_88]) ).
tff(c_190,plain,
~ is_a_theorem(implies(and('#skF_14','#skF_15'),'#skF_14')),
inference(negUnitSimplification,[status(thm)],[c_148,c_32]) ).
tff(c_43296,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_43292,c_190]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL487+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.33 % Computer : n032.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Aug 3 13:47:06 EDT 2023
% 0.13/0.33 % CPUTime :
% 19.19/9.25 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.52/9.27
% 19.52/9.27 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 19.67/9.31
% 19.67/9.31 Inference rules
% 19.67/9.31 ----------------------
% 19.67/9.31 #Ref : 0
% 19.67/9.31 #Sup : 10262
% 19.67/9.31 #Fact : 0
% 19.67/9.31 #Define : 0
% 19.67/9.31 #Split : 99
% 19.67/9.31 #Chain : 0
% 19.67/9.31 #Close : 0
% 19.67/9.31
% 19.67/9.31 Ordering : KBO
% 19.67/9.31
% 19.67/9.31 Simplification rules
% 19.67/9.31 ----------------------
% 19.67/9.31 #Subsume : 2388
% 19.67/9.31 #Demod : 7469
% 19.67/9.31 #Tautology : 2568
% 19.67/9.31 #SimpNegUnit : 40
% 19.67/9.31 #BackRed : 213
% 19.67/9.31
% 19.67/9.31 #Partial instantiations: 0
% 19.67/9.31 #Strategies tried : 1
% 19.67/9.31
% 19.67/9.31 Timing (in seconds)
% 19.67/9.31 ----------------------
% 19.67/9.32 Preprocessing : 0.61
% 19.67/9.32 Parsing : 0.30
% 19.67/9.32 CNF conversion : 0.05
% 19.67/9.32 Main loop : 7.64
% 19.67/9.32 Inferencing : 1.57
% 19.67/9.32 Reduction : 3.70
% 19.67/9.32 Demodulation : 2.68
% 19.67/9.32 BG Simplification : 0.09
% 19.67/9.32 Subsumption : 1.80
% 19.67/9.32 Abstraction : 0.10
% 19.67/9.32 MUC search : 0.00
% 19.67/9.32 Cooper : 0.00
% 19.67/9.32 Total : 8.33
% 19.67/9.32 Index Insertion : 0.00
% 19.67/9.32 Index Deletion : 0.00
% 19.67/9.32 Index Matching : 0.00
% 19.67/9.32 BG Taut test : 0.00
%------------------------------------------------------------------------------