TSTP Solution File: LCL510+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL510+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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n026.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 10:48:16 EDT 2023
% Result : Theorem 19.06s 9.58s
% Output : CNFRefutation 19.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 113
% Syntax : Number of formulae : 265 ( 93 unt; 92 typ; 0 def)
% Number of atoms : 266 ( 18 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 185 ( 92 ~; 78 |; 1 &)
% ( 10 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 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 : 287 (; 287 !; 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_258,axiom,
op_or,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_op_or) ).
tff(f_259,axiom,
op_implies_and,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/LCL006+1.ax',op_implies_and) ).
tff(f_198,axiom,
( op_or
=> ! [X,Y] : ( or(X,Y) = not(and(not(X),not(Y))) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+1.ax',op_or) ).
tff(f_249,axiom,
kn1,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+5.ax',rosser_kn1) ).
tff(f_125,axiom,
( kn1
<=> ! [P] : is_a_theorem(implies(P,and(P,P))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',kn1) ).
tff(f_250,axiom,
kn2,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+5.ax',rosser_kn2) ).
tff(f_129,axiom,
( kn2
<=> ! [P,Q] : is_a_theorem(implies(and(P,Q),P)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',kn2) ).
tff(f_251,axiom,
kn3,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+5.ax',rosser_kn3) ).
tff(f_133,axiom,
( kn3
<=> ! [P,Q,R] : is_a_theorem(implies(implies(P,Q),implies(not(and(Q,R)),not(and(R,P))))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',kn3) ).
tff(f_247,axiom,
modus_ponens,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+5.ax',rosser_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/sandbox2/benchmark/Axioms/LCL006+0.ax',modus_ponens) ).
tff(f_260,axiom,
op_equiv,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/LCL006+1.ax',op_equiv) ).
tff(f_112,axiom,
( equivalence_1
<=> ! [X,Y] : is_a_theorem(implies(equiv(X,Y),implies(X,Y))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',equivalence_1) ).
tff(f_146,axiom,
( cn3
<=> ! [P] : is_a_theorem(implies(implies(not(P),P),P)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',cn3) ).
tff(f_151,axiom,
( r1
<=> ! [P] : is_a_theorem(implies(or(P,P),P)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',r1) ).
tff(f_159,axiom,
( r3
<=> ! [P,Q] : is_a_theorem(implies(or(P,Q),or(Q,P))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',r3) ).
tff(f_155,axiom,
( r2
<=> ! [P,Q] : is_a_theorem(implies(Q,or(P,Q))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',r2) ).
tff(f_262,negated_conjecture,
~ or_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_or_2) ).
tff(f_104,axiom,
( or_2
<=> ! [X,Y] : is_a_theorem(implies(Y,or(X,Y))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',or_2) ).
tff(c_138,plain,
op_or,
inference(cnfTransformation,[status(thm)],[f_258]) ).
tff(c_140,plain,
op_implies_and,
inference(cnfTransformation,[status(thm)],[f_259]) ).
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_151,plain,
! [X_60,Y_61] : ( not(and(X_60,not(Y_61))) = implies(X_60,Y_61) ),
inference(demodulation,[status(thm),theory(equality)],[c_140,c_116]) ).
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_153,plain,
! [X_56,Y_57] : ( implies(not(X_56),Y_57) = or(X_56,Y_57) ),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_151,c_112]) ).
tff(c_12242,plain,
! [X_757,Y_758] : ( implies(not(X_757),Y_758) = or(X_757,Y_758) ),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_151,c_112]) ).
tff(c_130,plain,
kn1,
inference(cnfTransformation,[status(thm)],[f_249]) ).
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_167,plain,
! [P_33] : is_a_theorem(implies(P_33,and(P_33,P_33))),
inference(demodulation,[status(thm),theory(equality)],[c_130,c_70]) ).
tff(c_12249,plain,
! [X_757] : is_a_theorem(or(X_757,and(not(X_757),not(X_757)))),
inference(superposition,[status(thm),theory(equality)],[c_12242,c_167]) ).
tff(c_132,plain,
kn2,
inference(cnfTransformation,[status(thm)],[f_250]) ).
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_163,plain,
! [P_34,Q_35] : is_a_theorem(implies(and(P_34,Q_35),P_34)),
inference(demodulation,[status(thm),theory(equality)],[c_132,c_74]) ).
tff(c_12256,plain,
! [X_759,Y_760] : ( not(and(X_759,not(Y_760))) = implies(X_759,Y_760) ),
inference(demodulation,[status(thm),theory(equality)],[c_140,c_116]) ).
tff(c_12265,plain,
! [X_759,Y_760,Y_57] : ( or(and(X_759,not(Y_760)),Y_57) = implies(implies(X_759,Y_760),Y_57) ),
inference(superposition,[status(thm),theory(equality)],[c_12256,c_153]) ).
tff(c_134,plain,
kn3,
inference(cnfTransformation,[status(thm)],[f_251]) ).
tff(c_78,plain,
! [P_36,Q_37,R_38] :
( is_a_theorem(implies(implies(P_36,Q_37),implies(not(and(Q_37,R_38)),not(and(R_38,P_36)))))
| ~ kn3 ),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_12765,plain,
! [P_809,Q_810,R_811] : is_a_theorem(implies(implies(P_809,Q_810),or(and(Q_810,R_811),not(and(R_811,P_809))))),
inference(demodulation,[status(thm),theory(equality)],[c_134,c_153,c_78]) ).
tff(c_12796,plain,
! [Y_61,Q_810,X_60] : is_a_theorem(implies(implies(not(Y_61),Q_810),or(and(Q_810,X_60),implies(X_60,Y_61)))),
inference(superposition,[status(thm),theory(equality)],[c_151,c_12765]) ).
tff(c_12804,plain,
! [Y_812,Q_813,X_814] : is_a_theorem(implies(or(Y_812,Q_813),or(and(Q_813,X_814),implies(X_814,Y_812)))),
inference(demodulation,[status(thm),theory(equality)],[c_153,c_12796]) ).
tff(c_12829,plain,
! [Y_57,Q_813,X_56] : is_a_theorem(implies(or(Y_57,Q_813),or(and(Q_813,not(X_56)),or(X_56,Y_57)))),
inference(superposition,[status(thm),theory(equality)],[c_153,c_12804]) ).
tff(c_12837,plain,
! [Y_815,Q_816,X_817] : is_a_theorem(implies(or(Y_815,Q_816),implies(implies(Q_816,X_817),or(X_817,Y_815)))),
inference(demodulation,[status(thm),theory(equality)],[c_12265,c_12829]) ).
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_184,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_12885,plain,
! [Q_821,X_822,Y_823] :
( is_a_theorem(implies(implies(Q_821,X_822),or(X_822,Y_823)))
| ~ is_a_theorem(or(Y_823,Q_821)) ),
inference(resolution,[status(thm)],[c_12837,c_184]) ).
tff(c_12905,plain,
! [X_824,Y_825,Q_826] :
( is_a_theorem(or(X_824,Y_825))
| ~ is_a_theorem(implies(Q_826,X_824))
| ~ is_a_theorem(or(Y_825,Q_826)) ),
inference(resolution,[status(thm)],[c_12885,c_184]) ).
tff(c_12981,plain,
! [P_831,Y_832,Q_833] :
( is_a_theorem(or(P_831,Y_832))
| ~ is_a_theorem(or(Y_832,and(P_831,Q_833))) ),
inference(resolution,[status(thm)],[c_163,c_12905]) ).
tff(c_13004,plain,
! [X_834] : is_a_theorem(or(not(X_834),X_834)),
inference(resolution,[status(thm)],[c_12249,c_12981]) ).
tff(c_12946,plain,
! [P_34,Y_825,Q_35] :
( is_a_theorem(or(P_34,Y_825))
| ~ is_a_theorem(or(Y_825,and(P_34,Q_35))) ),
inference(resolution,[status(thm)],[c_163,c_12905]) ).
tff(c_13026,plain,
! [P_836,Q_837] : is_a_theorem(or(P_836,not(and(P_836,Q_837)))),
inference(resolution,[status(thm)],[c_13004,c_12946]) ).
tff(c_13047,plain,
! [X_838,Y_839] : is_a_theorem(or(X_838,implies(X_838,Y_839))),
inference(superposition,[status(thm),theory(equality)],[c_151,c_13026]) ).
tff(c_13230,plain,
! [X_849,Y_850] : is_a_theorem(or(not(X_849),or(X_849,Y_850))),
inference(superposition,[status(thm),theory(equality)],[c_153,c_13047]) ).
tff(c_216,plain,
! [X_73,Y_74] : ( not(and(X_73,not(Y_74))) = implies(X_73,Y_74) ),
inference(demodulation,[status(thm),theory(equality)],[c_140,c_116]) ).
tff(c_228,plain,
! [X_73,X_60,Y_61] : ( implies(X_73,and(X_60,not(Y_61))) = not(and(X_73,implies(X_60,Y_61))) ),
inference(superposition,[status(thm),theory(equality)],[c_151,c_216]) ).
tff(c_225,plain,
! [X_73,Y_74,Y_57] : ( or(and(X_73,not(Y_74)),Y_57) = implies(implies(X_73,Y_74),Y_57) ),
inference(superposition,[status(thm),theory(equality)],[c_216,c_153]) ).
tff(c_203,plain,
! [X_71,Y_72] : ( implies(not(X_71),Y_72) = or(X_71,Y_72) ),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_151,c_112]) ).
tff(c_210,plain,
! [X_71] : is_a_theorem(or(X_71,and(not(X_71),not(X_71)))),
inference(superposition,[status(thm),theory(equality)],[c_203,c_167]) ).
tff(c_694,plain,
! [P_118,Q_119,R_120] : is_a_theorem(implies(implies(P_118,Q_119),or(and(Q_119,R_120),not(and(R_120,P_118))))),
inference(demodulation,[status(thm),theory(equality)],[c_134,c_153,c_78]) ).
tff(c_725,plain,
! [Y_61,Q_119,X_60] : is_a_theorem(implies(implies(not(Y_61),Q_119),or(and(Q_119,X_60),implies(X_60,Y_61)))),
inference(superposition,[status(thm),theory(equality)],[c_151,c_694]) ).
tff(c_733,plain,
! [Y_121,Q_122,X_123] : is_a_theorem(implies(or(Y_121,Q_122),or(and(Q_122,X_123),implies(X_123,Y_121)))),
inference(demodulation,[status(thm),theory(equality)],[c_153,c_725]) ).
tff(c_752,plain,
! [Y_121,X_73,Y_74] : is_a_theorem(implies(or(Y_121,X_73),implies(implies(X_73,Y_74),implies(not(Y_74),Y_121)))),
inference(superposition,[status(thm),theory(equality)],[c_225,c_733]) ).
tff(c_765,plain,
! [Y_124,X_125,Y_126] : is_a_theorem(implies(or(Y_124,X_125),implies(implies(X_125,Y_126),or(Y_126,Y_124)))),
inference(demodulation,[status(thm),theory(equality)],[c_153,c_752]) ).
tff(c_813,plain,
! [X_130,Y_131,Y_132] :
( is_a_theorem(implies(implies(X_130,Y_131),or(Y_131,Y_132)))
| ~ is_a_theorem(or(Y_132,X_130)) ),
inference(resolution,[status(thm)],[c_765,c_184]) ).
tff(c_834,plain,
! [Y_133,Y_134,X_135] :
( is_a_theorem(or(Y_133,Y_134))
| ~ is_a_theorem(implies(X_135,Y_133))
| ~ is_a_theorem(or(Y_134,X_135)) ),
inference(resolution,[status(thm)],[c_813,c_184]) ).
tff(c_887,plain,
! [P_138,Y_139,Q_140] :
( is_a_theorem(or(P_138,Y_139))
| ~ is_a_theorem(or(Y_139,and(P_138,Q_140))) ),
inference(resolution,[status(thm)],[c_163,c_834]) ).
tff(c_910,plain,
! [X_141] : is_a_theorem(or(not(X_141),X_141)),
inference(resolution,[status(thm)],[c_210,c_887]) ).
tff(c_872,plain,
! [P_34,Y_134,Q_35] :
( is_a_theorem(or(P_34,Y_134))
| ~ is_a_theorem(or(Y_134,and(P_34,Q_35))) ),
inference(resolution,[status(thm)],[c_163,c_834]) ).
tff(c_921,plain,
! [P_34,Q_35] : is_a_theorem(or(P_34,not(and(P_34,Q_35)))),
inference(resolution,[status(thm)],[c_910,c_872]) ).
tff(c_873,plain,
! [P_136,Y_137] :
( is_a_theorem(or(and(P_136,P_136),Y_137))
| ~ is_a_theorem(or(Y_137,P_136)) ),
inference(resolution,[status(thm)],[c_167,c_834]) ).
tff(c_880,plain,
! [Y_74,Y_57] :
( is_a_theorem(implies(implies(not(Y_74),Y_74),Y_57))
| ~ is_a_theorem(or(Y_57,not(Y_74))) ),
inference(superposition,[status(thm),theory(equality)],[c_225,c_873]) ).
tff(c_1591,plain,
! [Y_208,Y_209] :
( is_a_theorem(implies(or(Y_208,Y_208),Y_209))
| ~ is_a_theorem(or(Y_209,not(Y_208))) ),
inference(demodulation,[status(thm),theory(equality)],[c_153,c_880]) ).
tff(c_1662,plain,
! [P_214,Q_215] : is_a_theorem(implies(or(and(P_214,Q_215),and(P_214,Q_215)),P_214)),
inference(resolution,[status(thm)],[c_921,c_1591]) ).
tff(c_1687,plain,
! [X_73,Y_74] : is_a_theorem(implies(implies(implies(X_73,Y_74),and(X_73,not(Y_74))),X_73)),
inference(superposition,[status(thm),theory(equality)],[c_225,c_1662]) ).
tff(c_1700,plain,
! [X_73,Y_74] : is_a_theorem(or(and(implies(X_73,Y_74),implies(X_73,Y_74)),X_73)),
inference(demodulation,[status(thm),theory(equality)],[c_153,c_228,c_1687]) ).
tff(c_871,plain,
! [P_33,Y_134] :
( is_a_theorem(or(and(P_33,P_33),Y_134))
| ~ is_a_theorem(or(Y_134,P_33)) ),
inference(resolution,[status(thm)],[c_167,c_834]) ).
tff(c_6316,plain,
! [P_511,P_512,Q_513] :
( is_a_theorem(or(P_511,and(P_512,P_512)))
| ~ is_a_theorem(or(and(P_511,Q_513),P_512)) ),
inference(resolution,[status(thm)],[c_871,c_887]) ).
tff(c_6399,plain,
! [X_73,Y_74] : is_a_theorem(or(implies(X_73,Y_74),and(X_73,X_73))),
inference(resolution,[status(thm)],[c_1700,c_6316]) ).
tff(c_142,plain,
op_equiv,
inference(cnfTransformation,[status(thm)],[f_260]) ).
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_149,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_142,c_120]) ).
tff(c_6586,plain,
! [P_524,Y_525] :
( is_a_theorem(or(P_524,and(Y_525,Y_525)))
| ~ is_a_theorem(or(Y_525,P_524)) ),
inference(resolution,[status(thm)],[c_871,c_6316]) ).
tff(c_8671,plain,
! [P_610,Y_611] :
( is_a_theorem(or(P_610,equiv(Y_611,Y_611)))
| ~ is_a_theorem(or(implies(Y_611,Y_611),P_610)) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_6586]) ).
tff(c_8778,plain,
! [Y_612] : is_a_theorem(or(and(Y_612,Y_612),equiv(Y_612,Y_612))),
inference(resolution,[status(thm)],[c_6399,c_8671]) ).
tff(c_908,plain,
! [P_138,P_33,Q_140] :
( is_a_theorem(or(P_138,and(P_33,P_33)))
| ~ is_a_theorem(or(and(P_138,Q_140),P_33)) ),
inference(resolution,[status(thm)],[c_871,c_887]) ).
tff(c_8810,plain,
! [Y_612] : is_a_theorem(or(Y_612,and(equiv(Y_612,Y_612),equiv(Y_612,Y_612)))),
inference(resolution,[status(thm)],[c_8778,c_908]) ).
tff(c_759,plain,
! [Q_122,X_123,Y_121] :
( is_a_theorem(or(and(Q_122,X_123),implies(X_123,Y_121)))
| ~ is_a_theorem(or(Y_121,Q_122)) ),
inference(resolution,[status(thm)],[c_733,c_184]) ).
tff(c_2290,plain,
! [Y_254,Y_255] :
( is_a_theorem(or(equiv(Y_254,Y_254),Y_255))
| ~ is_a_theorem(or(Y_255,implies(Y_254,Y_254))) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_873]) ).
tff(c_11785,plain,
! [Y_748,Q_749] :
( is_a_theorem(or(equiv(Y_748,Y_748),and(Q_749,Y_748)))
| ~ is_a_theorem(or(Y_748,Q_749)) ),
inference(resolution,[status(thm)],[c_759,c_2290]) ).
tff(c_12043,plain,
! [Q_753,Y_754] :
( is_a_theorem(or(Q_753,equiv(Y_754,Y_754)))
| ~ is_a_theorem(or(Y_754,Q_753)) ),
inference(resolution,[status(thm)],[c_11785,c_872]) ).
tff(c_1703,plain,
! [P_216,Q_217] :
( is_a_theorem(P_216)
| ~ is_a_theorem(or(and(P_216,Q_217),and(P_216,Q_217))) ),
inference(resolution,[status(thm)],[c_1662,c_184]) ).
tff(c_1730,plain,
! [P_33] :
( is_a_theorem(P_33)
| ~ is_a_theorem(or(and(P_33,P_33),P_33)) ),
inference(resolution,[status(thm)],[c_871,c_1703]) ).
tff(c_12112,plain,
! [Y_754] :
( is_a_theorem(equiv(Y_754,Y_754))
| ~ is_a_theorem(or(Y_754,and(equiv(Y_754,Y_754),equiv(Y_754,Y_754)))) ),
inference(resolution,[status(thm)],[c_12043,c_1730]) ).
tff(c_12156,plain,
! [Y_754] : is_a_theorem(equiv(Y_754,Y_754)),
inference(demodulation,[status(thm),theory(equality)],[c_8810,c_12112]) ).
tff(c_909,plain,
! [X_71] : is_a_theorem(or(not(X_71),X_71)),
inference(resolution,[status(thm)],[c_210,c_887]) ).
tff(c_274,plain,
! [X_83,Y_84] : ( and(implies(X_83,Y_84),implies(Y_84,X_83)) = equiv(X_83,Y_84) ),
inference(demodulation,[status(thm),theory(equality)],[c_142,c_120]) ).
tff(c_291,plain,
! [X_83,Y_84] : is_a_theorem(implies(equiv(X_83,Y_84),implies(X_83,Y_84))),
inference(superposition,[status(thm),theory(equality)],[c_274,c_163]) ).
tff(c_58,plain,
! [X_27,Y_28] :
( is_a_theorem(implies(equiv(X_27,Y_28),implies(X_27,Y_28)))
| ~ equivalence_1 ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_264,plain,
~ equivalence_1,
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_56,plain,
( equivalence_1
| ~ is_a_theorem(implies(equiv('#skF_27','#skF_28'),implies('#skF_27','#skF_28'))) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_268,plain,
~ is_a_theorem(implies(equiv('#skF_27','#skF_28'),implies('#skF_27','#skF_28'))),
inference(negUnitSimplification,[status(thm)],[c_264,c_56]) ).
tff(c_314,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_291,c_268]) ).
tff(c_317,plain,
! [X_86,Y_87] : is_a_theorem(implies(equiv(X_86,Y_87),implies(X_86,Y_87))),
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_324,plain,
! [X_86,Y_87] :
( is_a_theorem(implies(X_86,Y_87))
| ~ is_a_theorem(equiv(X_86,Y_87)) ),
inference(resolution,[status(thm)],[c_317,c_184]) ).
tff(c_5163,plain,
! [Y_434,Y_435,X_436] :
( is_a_theorem(or(Y_434,Y_435))
| ~ is_a_theorem(or(Y_435,X_436))
| ~ is_a_theorem(equiv(X_436,Y_434)) ),
inference(resolution,[status(thm)],[c_324,c_834]) ).
tff(c_5268,plain,
! [Y_437,X_438] :
( is_a_theorem(or(Y_437,not(X_438)))
| ~ is_a_theorem(equiv(X_438,Y_437)) ),
inference(resolution,[status(thm)],[c_909,c_5163]) ).
tff(c_886,plain,
! [Y_74,Y_57] :
( is_a_theorem(implies(or(Y_74,Y_74),Y_57))
| ~ is_a_theorem(or(Y_57,not(Y_74))) ),
inference(demodulation,[status(thm),theory(equality)],[c_153,c_880]) ).
tff(c_5420,plain,
! [X_448,Y_449] :
( is_a_theorem(implies(or(X_448,X_448),Y_449))
| ~ is_a_theorem(equiv(X_448,Y_449)) ),
inference(resolution,[status(thm)],[c_5268,c_886]) ).
tff(c_88,plain,
( cn3
| ~ is_a_theorem(implies(implies(not('#skF_44'),'#skF_44'),'#skF_44')) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_155,plain,
( cn3
| ~ is_a_theorem(implies(or('#skF_44','#skF_44'),'#skF_44')) ),
inference(demodulation,[status(thm),theory(equality)],[c_153,c_88]) ).
tff(c_194,plain,
~ is_a_theorem(implies(or('#skF_44','#skF_44'),'#skF_44')),
inference(splitLeft,[status(thm)],[c_155]) ).
tff(c_5458,plain,
~ is_a_theorem(equiv('#skF_44','#skF_44')),
inference(resolution,[status(thm)],[c_5420,c_194]) ).
tff(c_12213,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12156,c_5458]) ).
tff(c_12214,plain,
cn3,
inference(splitRight,[status(thm)],[c_155]) ).
tff(c_90,plain,
! [P_44] :
( is_a_theorem(implies(implies(not(P_44),P_44),P_44))
| ~ cn3 ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_154,plain,
! [P_44] :
( is_a_theorem(implies(or(P_44,P_44),P_44))
| ~ cn3 ),
inference(demodulation,[status(thm),theory(equality)],[c_153,c_90]) ).
tff(c_12222,plain,
! [P_44] : is_a_theorem(implies(or(P_44,P_44),P_44)),
inference(demodulation,[status(thm),theory(equality)],[c_12214,c_154]) ).
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_192,plain,
~ r1,
inference(splitLeft,[status(thm)],[c_94]) ).
tff(c_92,plain,
( r1
| ~ is_a_theorem(implies(or('#skF_45','#skF_45'),'#skF_45')) ),
inference(cnfTransformation,[status(thm)],[f_151]) ).
tff(c_12218,plain,
~ is_a_theorem(implies(or('#skF_45','#skF_45'),'#skF_45')),
inference(negUnitSimplification,[status(thm)],[c_192,c_92]) ).
tff(c_12226,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12222,c_12218]) ).
tff(c_12227,plain,
! [P_45] : is_a_theorem(implies(or(P_45,P_45),P_45)),
inference(splitRight,[status(thm)],[c_94]) ).
tff(c_12944,plain,
! [P_45,Y_825] :
( is_a_theorem(or(P_45,Y_825))
| ~ is_a_theorem(or(Y_825,or(P_45,P_45))) ),
inference(resolution,[status(thm)],[c_12227,c_12905]) ).
tff(c_13244,plain,
! [Y_850] : is_a_theorem(or(Y_850,not(Y_850))),
inference(resolution,[status(thm)],[c_13230,c_12944]) ).
tff(c_20042,plain,
! [Y_1288,X_1289,Y_1290] : is_a_theorem(implies(or(Y_1288,not(X_1289)),implies(or(X_1289,Y_1290),or(Y_1290,Y_1288)))),
inference(superposition,[status(thm),theory(equality)],[c_153,c_12837]) ).
tff(c_20681,plain,
! [X_1314,Y_1315,Y_1316] :
( is_a_theorem(implies(or(X_1314,Y_1315),or(Y_1315,Y_1316)))
| ~ is_a_theorem(or(Y_1316,not(X_1314))) ),
inference(resolution,[status(thm)],[c_20042,c_184]) ).
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_12412,plain,
~ r3,
inference(splitLeft,[status(thm)],[c_102]) ).
tff(c_100,plain,
( r3
| ~ is_a_theorem(implies(or('#skF_48','#skF_49'),or('#skF_49','#skF_48'))) ),
inference(cnfTransformation,[status(thm)],[f_159]) ).
tff(c_12422,plain,
~ is_a_theorem(implies(or('#skF_48','#skF_49'),or('#skF_49','#skF_48'))),
inference(negUnitSimplification,[status(thm)],[c_12412,c_100]) ).
tff(c_20690,plain,
~ is_a_theorem(or('#skF_48',not('#skF_48'))),
inference(resolution,[status(thm)],[c_20681,c_12422]) ).
tff(c_20707,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_13244,c_20690]) ).
tff(c_20708,plain,
! [P_48,Q_49] : is_a_theorem(implies(or(P_48,Q_49),or(Q_49,P_48))),
inference(splitRight,[status(thm)],[c_102]) ).
tff(c_20858,plain,
! [X_1336,Y_1337,Y_1338] : ( or(and(X_1336,not(Y_1337)),Y_1338) = implies(implies(X_1336,Y_1337),Y_1338) ),
inference(superposition,[status(thm),theory(equality)],[c_12256,c_153]) ).
tff(c_20710,plain,
! [P_1317,Q_1318] : is_a_theorem(implies(or(P_1317,Q_1318),or(Q_1318,P_1317))),
inference(splitRight,[status(thm)],[c_102]) ).
tff(c_20714,plain,
! [Q_1318,P_1317] :
( is_a_theorem(or(Q_1318,P_1317))
| ~ is_a_theorem(or(P_1317,Q_1318)) ),
inference(resolution,[status(thm)],[c_20710,c_184]) ).
tff(c_22938,plain,
! [Y_1509,X_1510,Y_1511] :
( is_a_theorem(or(Y_1509,and(X_1510,not(Y_1511))))
| ~ is_a_theorem(implies(implies(X_1510,Y_1511),Y_1509)) ),
inference(superposition,[status(thm),theory(equality)],[c_20858,c_20714]) ).
tff(c_21094,plain,
! [P_1352,Q_1353,R_1354] : is_a_theorem(implies(implies(P_1352,Q_1353),or(and(Q_1353,R_1354),not(and(R_1354,P_1352))))),
inference(demodulation,[status(thm),theory(equality)],[c_134,c_153,c_78]) ).
tff(c_21125,plain,
! [Y_61,Q_1353,X_60] : is_a_theorem(implies(implies(not(Y_61),Q_1353),or(and(Q_1353,X_60),implies(X_60,Y_61)))),
inference(superposition,[status(thm),theory(equality)],[c_151,c_21094]) ).
tff(c_21133,plain,
! [Y_1355,Q_1356,X_1357] : is_a_theorem(implies(or(Y_1355,Q_1356),or(and(Q_1356,X_1357),implies(X_1357,Y_1355)))),
inference(demodulation,[status(thm),theory(equality)],[c_153,c_21125]) ).
tff(c_21158,plain,
! [Y_57,Q_1356,X_56] : is_a_theorem(implies(or(Y_57,Q_1356),or(and(Q_1356,not(X_56)),or(X_56,Y_57)))),
inference(superposition,[status(thm),theory(equality)],[c_153,c_21133]) ).
tff(c_21170,plain,
! [Y_1358,Q_1359,X_1360] : is_a_theorem(implies(or(Y_1358,Q_1359),implies(implies(Q_1359,X_1360),or(X_1360,Y_1358)))),
inference(demodulation,[status(thm),theory(equality)],[c_12265,c_21158]) ).
tff(c_21221,plain,
! [Q_1364,X_1365,Y_1366] :
( is_a_theorem(implies(implies(Q_1364,X_1365),or(X_1365,Y_1366)))
| ~ is_a_theorem(or(Y_1366,Q_1364)) ),
inference(resolution,[status(thm)],[c_21170,c_184]) ).
tff(c_21271,plain,
! [X_1370,Y_1371,Q_1372] :
( is_a_theorem(or(X_1370,Y_1371))
| ~ is_a_theorem(implies(Q_1372,X_1370))
| ~ is_a_theorem(or(Y_1371,Q_1372)) ),
inference(resolution,[status(thm)],[c_21221,c_184]) ).
tff(c_21315,plain,
! [P_34,Y_1371,Q_35] :
( is_a_theorem(or(P_34,Y_1371))
| ~ is_a_theorem(or(Y_1371,and(P_34,Q_35))) ),
inference(resolution,[status(thm)],[c_163,c_21271]) ).
tff(c_22993,plain,
! [X_1512,Y_1513,Y_1514] :
( is_a_theorem(or(X_1512,Y_1513))
| ~ is_a_theorem(implies(implies(X_1512,Y_1514),Y_1513)) ),
inference(resolution,[status(thm)],[c_22938,c_21315]) ).
tff(c_24282,plain,
! [X_1622,Y_1623,Y_1624] :
( is_a_theorem(or(not(X_1622),Y_1623))
| ~ is_a_theorem(implies(or(X_1622,Y_1624),Y_1623)) ),
inference(superposition,[status(thm),theory(equality)],[c_153,c_22993]) ).
tff(c_24333,plain,
! [P_1625,Q_1626] : is_a_theorem(or(not(P_1625),or(Q_1626,P_1625))),
inference(resolution,[status(thm)],[c_20708,c_24282]) ).
tff(c_24355,plain,
! [Q_1626,P_1625] : is_a_theorem(or(or(Q_1626,P_1625),not(P_1625))),
inference(resolution,[status(thm)],[c_24333,c_20714]) ).
tff(c_21712,plain,
! [Q_1398,R_1399,P_1400] :
( is_a_theorem(or(and(Q_1398,R_1399),not(and(R_1399,P_1400))))
| ~ is_a_theorem(implies(P_1400,Q_1398)) ),
inference(resolution,[status(thm)],[c_21094,c_184]) ).
tff(c_25520,plain,
! [X_1707,Y_1708,P_1709] :
( is_a_theorem(implies(implies(X_1707,Y_1708),not(and(not(Y_1708),P_1709))))
| ~ is_a_theorem(implies(P_1709,X_1707)) ),
inference(superposition,[status(thm),theory(equality)],[c_12265,c_21712]) ).
tff(c_37926,plain,
! [Y_2262,P_2263,X_2264] :
( is_a_theorem(not(and(not(Y_2262),P_2263)))
| ~ is_a_theorem(implies(X_2264,Y_2262))
| ~ is_a_theorem(implies(P_2263,X_2264)) ),
inference(resolution,[status(thm)],[c_25520,c_184]) ).
tff(c_38322,plain,
! [P_2287,P_2288,Q_2289] :
( is_a_theorem(not(and(not(P_2287),P_2288)))
| ~ is_a_theorem(implies(P_2288,and(P_2287,Q_2289))) ),
inference(resolution,[status(thm)],[c_163,c_37926]) ).
tff(c_38408,plain,
! [P_2290] : is_a_theorem(not(and(not(P_2290),P_2290))),
inference(resolution,[status(thm)],[c_167,c_38322]) ).
tff(c_21191,plain,
! [Q_1361,X_1362,Y_1363] :
( is_a_theorem(or(and(Q_1361,X_1362),implies(X_1362,Y_1363)))
| ~ is_a_theorem(or(Y_1363,Q_1361)) ),
inference(resolution,[status(thm)],[c_21133,c_184]) ).
tff(c_12274,plain,
! [Y_761,X_762] :
( is_a_theorem(Y_761)
| ~ is_a_theorem(implies(X_762,Y_761))
| ~ is_a_theorem(X_762) ),
inference(demodulation,[status(thm),theory(equality)],[c_128,c_2]) ).
tff(c_12277,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_153,c_12274]) ).
tff(c_21216,plain,
! [X_1362,Y_1363,Q_1361] :
( is_a_theorem(implies(X_1362,Y_1363))
| ~ is_a_theorem(not(and(Q_1361,X_1362)))
| ~ is_a_theorem(or(Y_1363,Q_1361)) ),
inference(resolution,[status(thm)],[c_21191,c_12277]) ).
tff(c_38556,plain,
! [P_2299,Y_2300] :
( is_a_theorem(implies(P_2299,Y_2300))
| ~ is_a_theorem(or(Y_2300,not(P_2299))) ),
inference(resolution,[status(thm)],[c_38408,c_21216]) ).
tff(c_38897,plain,
! [P_1625,Q_1626] : is_a_theorem(implies(P_1625,or(Q_1626,P_1625))),
inference(resolution,[status(thm)],[c_24355,c_38556]) ).
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_191,plain,
~ r2,
inference(splitLeft,[status(thm)],[c_98]) ).
tff(c_96,plain,
( r2
| ~ is_a_theorem(implies('#skF_47',or('#skF_46','#skF_47'))) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_12232,plain,
~ is_a_theorem(implies('#skF_47',or('#skF_46','#skF_47'))),
inference(negUnitSimplification,[status(thm)],[c_191,c_96]) ).
tff(c_40586,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38897,c_12232]) ).
tff(c_40587,plain,
! [Q_47,P_46] : is_a_theorem(implies(Q_47,or(P_46,Q_47))),
inference(splitRight,[status(thm)],[c_98]) ).
tff(c_144,plain,
~ or_2,
inference(cnfTransformation,[status(thm)],[f_262]) ).
tff(c_48,plain,
( or_2
| ~ is_a_theorem(implies('#skF_23',or('#skF_22','#skF_23'))) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_170,plain,
~ is_a_theorem(implies('#skF_23',or('#skF_22','#skF_23'))),
inference(negUnitSimplification,[status(thm)],[c_144,c_48]) ).
tff(c_40591,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_40587,c_170]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL510+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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n026.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 : 300
% 0.13/0.34 % DateTime : Thu Aug 3 14:16:16 EDT 2023
% 0.13/0.34 % CPUTime :
% 19.06/9.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.06/9.60
% 19.06/9.60 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 19.30/9.64
% 19.30/9.64 Inference rules
% 19.30/9.64 ----------------------
% 19.30/9.64 #Ref : 0
% 19.30/9.64 #Sup : 9885
% 19.30/9.64 #Fact : 0
% 19.30/9.64 #Define : 0
% 19.30/9.64 #Split : 82
% 19.30/9.64 #Chain : 0
% 19.30/9.64 #Close : 0
% 19.30/9.64
% 19.30/9.64 Ordering : KBO
% 19.30/9.64
% 19.30/9.64 Simplification rules
% 19.30/9.64 ----------------------
% 19.30/9.64 #Subsume : 2487
% 19.30/9.64 #Demod : 4871
% 19.30/9.64 #Tautology : 1645
% 19.30/9.64 #SimpNegUnit : 36
% 19.30/9.64 #BackRed : 20
% 19.30/9.64
% 19.30/9.64 #Partial instantiations: 0
% 19.30/9.64 #Strategies tried : 1
% 19.30/9.64
% 19.30/9.64 Timing (in seconds)
% 19.30/9.64 ----------------------
% 19.30/9.65 Preprocessing : 0.62
% 19.30/9.65 Parsing : 0.32
% 19.30/9.65 CNF conversion : 0.05
% 19.30/9.65 Main loop : 7.95
% 19.30/9.65 Inferencing : 1.75
% 19.30/9.65 Reduction : 3.36
% 19.30/9.65 Demodulation : 2.46
% 19.30/9.65 BG Simplification : 0.09
% 19.30/9.65 Subsumption : 2.33
% 19.30/9.65 Abstraction : 0.11
% 19.30/9.65 MUC search : 0.00
% 19.30/9.65 Cooper : 0.00
% 19.30/9.65 Total : 8.66
% 19.30/9.65 Index Insertion : 0.00
% 19.30/9.65 Index Deletion : 0.00
% 19.30/9.65 Index Matching : 0.00
% 19.30/9.65 BG Taut test : 0.00
%------------------------------------------------------------------------------