TSTP Solution File: LCL498+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL498+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 : n011.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 10:48:14 EDT 2023
% Result : Theorem 144.17s 112.91s
% Output : CNFRefutation 144.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 119
% Syntax : Number of formulae : 269 ( 83 unt; 93 typ; 0 def)
% Number of atoms : 283 ( 19 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 205 ( 98 ~; 90 |; 1 &)
% ( 10 <=>; 6 =>; 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 : 35 ( 33 usr; 33 prp; 0-2 aty)
% Number of functors : 60 ( 60 usr; 55 con; 0-2 aty)
% Number of variables : 301 (; 301 !; 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_implies > 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(op_implies,type,
op_implies: $o ).
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_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_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_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_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_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_100,axiom,
( or_1
<=> ! [X,Y] : is_a_theorem(implies(X,or(X,Y))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',or_1) ).
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_261,axiom,
op_or,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',luka_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_142,axiom,
( cn2
<=> ! [P,Q] : is_a_theorem(implies(P,implies(not(P),Q))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',cn2) ).
tff(f_263,axiom,
op_equiv,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',luka_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_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_265,negated_conjecture,
~ cn3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',luka_cn3) ).
tff(f_146,axiom,
( cn3
<=> ! [P] : is_a_theorem(implies(implies(not(P),P),P)) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',cn3) ).
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_175,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_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_167,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_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_171,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_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_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_1336,plain,
! [Q_182,R_183,P_184] : is_a_theorem(implies(implies(Q_182,R_183),implies(or(P_184,Q_182),or(P_184,R_183)))),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_110]) ).
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_190,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_1812,plain,
! [P_205,Q_206,R_207] :
( is_a_theorem(implies(or(P_205,Q_206),or(P_205,R_207)))
| ~ is_a_theorem(implies(Q_206,R_207)) ),
inference(resolution,[status(thm)],[c_1336,c_190]) ).
tff(c_1825,plain,
! [X_62,Q_206,Y_63] :
( is_a_theorem(implies(or(not(X_62),Q_206),implies(X_62,Y_63)))
| ~ is_a_theorem(implies(Q_206,Y_63)) ),
inference(superposition,[status(thm),theory(equality)],[c_153,c_1812]) ).
tff(c_5954,plain,
! [X_453,Q_454,Y_455] :
( is_a_theorem(implies(implies(X_453,Q_454),implies(X_453,Y_455)))
| ~ is_a_theorem(implies(Q_454,Y_455)) ),
inference(demodulation,[status(thm),theory(equality)],[c_153,c_1825]) ).
tff(c_328122,plain,
! [X_2042,Y_2043,Q_2044] :
( is_a_theorem(implies(X_2042,Y_2043))
| ~ is_a_theorem(implies(X_2042,Q_2044))
| ~ is_a_theorem(implies(Q_2044,Y_2043)) ),
inference(resolution,[status(thm)],[c_5954,c_190]) ).
tff(c_341464,plain,
! [Q_2078,Y_2079,P_2080] :
( is_a_theorem(implies(Q_2078,Y_2079))
| ~ is_a_theorem(implies(or(P_2080,Q_2078),Y_2079)) ),
inference(resolution,[status(thm)],[c_171,c_328122]) ).
tff(c_342407,plain,
! [Q_49,P_48] : is_a_theorem(implies(Q_49,or(Q_49,P_48))),
inference(resolution,[status(thm)],[c_167,c_341464]) ).
tff(c_46,plain,
! [X_20,Y_21] :
( is_a_theorem(implies(X_20,or(X_20,Y_21)))
| ~ or_1 ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_212,plain,
~ or_1,
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_44,plain,
( or_1
| ~ is_a_theorem(implies('#skF_20',or('#skF_20','#skF_21'))) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_217,plain,
~ is_a_theorem(implies('#skF_20',or('#skF_20','#skF_21'))),
inference(negUnitSimplification,[status(thm)],[c_212,c_44]) ).
tff(c_342418,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_342407,c_217]) ).
tff(c_342419,plain,
! [X_20,Y_21] : is_a_theorem(implies(X_20,or(X_20,Y_21))),
inference(splitRight,[status(thm)],[c_46]) ).
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_357866,plain,
! [P_2913,Q_2914,R_2915] : is_a_theorem(implies(or(P_2913,or(Q_2914,R_2915)),or(Q_2914,or(P_2913,R_2915)))),
inference(demodulation,[status(thm),theory(equality)],[c_136,c_106]) ).
tff(c_360165,plain,
! [Q_3132,P_3133,R_3134] :
( is_a_theorem(or(Q_3132,or(P_3133,R_3134)))
| ~ is_a_theorem(or(P_3133,or(Q_3132,R_3134))) ),
inference(resolution,[status(thm)],[c_357866,c_190]) ).
tff(c_360196,plain,
! [Q_3132,X_62,R_3134] :
( is_a_theorem(or(Q_3132,or(not(X_62),R_3134)))
| ~ is_a_theorem(implies(X_62,or(Q_3132,R_3134))) ),
inference(superposition,[status(thm),theory(equality)],[c_153,c_360165]) ).
tff(c_360210,plain,
! [Q_3132,X_62,R_3134] :
( is_a_theorem(or(Q_3132,implies(X_62,R_3134)))
| ~ is_a_theorem(implies(X_62,or(Q_3132,R_3134))) ),
inference(demodulation,[status(thm),theory(equality)],[c_153,c_360196]) ).
tff(c_343006,plain,
! [Y_2145,X_2146] :
( is_a_theorem(Y_2145)
| ~ is_a_theorem(implies(X_2146,Y_2145))
| ~ is_a_theorem(X_2146) ),
inference(demodulation,[status(thm),theory(equality)],[c_128,c_2]) ).
tff(c_343030,plain,
! [P_46,Q_47] :
( is_a_theorem(or(P_46,Q_47))
| ~ is_a_theorem(Q_47) ),
inference(resolution,[status(thm)],[c_171,c_343006]) ).
tff(c_360455,plain,
! [Q_3160,P_3161,R_3162] :
( is_a_theorem(or(Q_3160,or(P_3161,R_3162)))
| ~ is_a_theorem(or(Q_3160,R_3162)) ),
inference(resolution,[status(thm)],[c_343030,c_360165]) ).
tff(c_360474,plain,
! [X_62,P_3161,R_3162] :
( is_a_theorem(implies(X_62,or(P_3161,R_3162)))
| ~ is_a_theorem(or(not(X_62),R_3162)) ),
inference(superposition,[status(thm),theory(equality)],[c_153,c_360455]) ).
tff(c_360772,plain,
! [X_3179,P_3180,R_3181] :
( is_a_theorem(implies(X_3179,or(P_3180,R_3181)))
| ~ is_a_theorem(implies(X_3179,R_3181)) ),
inference(demodulation,[status(thm),theory(equality)],[c_153,c_360474]) ).
tff(c_362182,plain,
! [P_3227,R_3228,X_3229] :
( is_a_theorem(or(P_3227,R_3228))
| ~ is_a_theorem(X_3229)
| ~ is_a_theorem(implies(X_3229,R_3228)) ),
inference(resolution,[status(thm)],[c_360772,c_190]) ).
tff(c_364169,plain,
! [P_3319,Q_3320,P_3321] :
( is_a_theorem(or(P_3319,or(Q_3320,P_3321)))
| ~ is_a_theorem(or(P_3321,Q_3320)) ),
inference(resolution,[status(thm)],[c_167,c_362182]) ).
tff(c_357889,plain,
! [Q_2914,P_2913,R_2915] :
( is_a_theorem(or(Q_2914,or(P_2913,R_2915)))
| ~ is_a_theorem(or(P_2913,or(Q_2914,R_2915))) ),
inference(resolution,[status(thm)],[c_357866,c_190]) ).
tff(c_368388,plain,
! [Q_3537,P_3538,P_3539] :
( is_a_theorem(or(Q_3537,or(P_3538,P_3539)))
| ~ is_a_theorem(or(P_3539,Q_3537)) ),
inference(resolution,[status(thm)],[c_364169,c_357889]) ).
tff(c_368489,plain,
! [Q_3542,X_3543,Y_3544] :
( is_a_theorem(or(Q_3542,implies(X_3543,Y_3544)))
| ~ is_a_theorem(or(Y_3544,Q_3542)) ),
inference(superposition,[status(thm),theory(equality)],[c_153,c_368388]) ).
tff(c_343029,plain,
! [P_45] :
( is_a_theorem(P_45)
| ~ is_a_theorem(or(P_45,P_45)) ),
inference(resolution,[status(thm)],[c_175,c_343006]) ).
tff(c_373025,plain,
! [X_3693,Y_3694] :
( is_a_theorem(implies(X_3693,Y_3694))
| ~ is_a_theorem(or(Y_3694,implies(X_3693,Y_3694))) ),
inference(resolution,[status(thm)],[c_368489,c_343029]) ).
tff(c_375479,plain,
! [X_3773,R_3774] :
( is_a_theorem(implies(X_3773,R_3774))
| ~ is_a_theorem(implies(X_3773,or(R_3774,R_3774))) ),
inference(resolution,[status(thm)],[c_360210,c_373025]) ).
tff(c_375671,plain,
! [Y_3775] : is_a_theorem(implies(Y_3775,Y_3775)),
inference(resolution,[status(thm)],[c_342419,c_375479]) ).
tff(c_357417,plain,
! [P_2879,Q_2880] : is_a_theorem(implies(or(P_2879,Q_2880),or(Q_2880,P_2879))),
inference(demodulation,[status(thm),theory(equality)],[c_134,c_102]) ).
tff(c_357594,plain,
! [Y_2888,X_2889] : is_a_theorem(implies(or(Y_2888,not(X_2889)),implies(X_2889,Y_2888))),
inference(superposition,[status(thm),theory(equality)],[c_153,c_357417]) ).
tff(c_357644,plain,
! [X_2894,Y_2895] :
( is_a_theorem(implies(X_2894,Y_2895))
| ~ is_a_theorem(or(Y_2895,not(X_2894))) ),
inference(resolution,[status(thm)],[c_357594,c_190]) ).
tff(c_357665,plain,
! [X_2894,X_62] :
( is_a_theorem(implies(X_2894,not(X_62)))
| ~ is_a_theorem(implies(X_62,not(X_2894))) ),
inference(superposition,[status(thm),theory(equality)],[c_153,c_357644]) ).
tff(c_375725,plain,
! [X_2894] : is_a_theorem(implies(X_2894,not(not(X_2894)))),
inference(resolution,[status(thm)],[c_375671,c_357665]) ).
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_157,plain,
! [X_56,Y_57] : ( not(and(not(X_56),not(Y_57))) = or(X_56,Y_57) ),
inference(demodulation,[status(thm),theory(equality)],[c_142,c_112]) ).
tff(c_376523,plain,
! [X_3789] : is_a_theorem(implies(X_3789,not(not(X_3789)))),
inference(resolution,[status(thm)],[c_375671,c_357665]) ).
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_155,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_342421,plain,
! [X_2081,Y_2082] : is_a_theorem(implies(X_2081,or(X_2081,Y_2082))),
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_342424,plain,
! [X_62,Y_63] : is_a_theorem(implies(not(X_62),implies(X_62,Y_63))),
inference(superposition,[status(thm),theory(equality)],[c_153,c_342421]) ).
tff(c_343631,plain,
! [P_2206,Q_2207,R_2208] : is_a_theorem(implies(or(P_2206,or(Q_2207,R_2208)),or(Q_2207,or(P_2206,R_2208)))),
inference(demodulation,[status(thm),theory(equality)],[c_136,c_106]) ).
tff(c_343648,plain,
! [X_62,Q_2207,Y_63] : is_a_theorem(implies(or(not(X_62),or(Q_2207,Y_63)),or(Q_2207,implies(X_62,Y_63)))),
inference(superposition,[status(thm),theory(equality)],[c_153,c_343631]) ).
tff(c_345037,plain,
! [X_2304,Q_2305,Y_2306] : is_a_theorem(implies(implies(X_2304,or(Q_2305,Y_2306)),or(Q_2305,implies(X_2304,Y_2306)))),
inference(demodulation,[status(thm),theory(equality)],[c_153,c_343648]) ).
tff(c_345062,plain,
! [Q_2305,X_2304,Y_2306] :
( is_a_theorem(or(Q_2305,implies(X_2304,Y_2306)))
| ~ is_a_theorem(implies(X_2304,or(Q_2305,Y_2306))) ),
inference(resolution,[status(thm)],[c_345037,c_190]) ).
tff(c_343652,plain,
! [P_2206,X_62,R_2208] : is_a_theorem(implies(or(P_2206,or(not(X_62),R_2208)),implies(X_62,or(P_2206,R_2208)))),
inference(superposition,[status(thm),theory(equality)],[c_153,c_343631]) ).
tff(c_344394,plain,
! [P_2258,X_2259,R_2260] : is_a_theorem(implies(or(P_2258,implies(X_2259,R_2260)),implies(X_2259,or(P_2258,R_2260)))),
inference(demodulation,[status(thm),theory(equality)],[c_153,c_343652]) ).
tff(c_344662,plain,
! [X_2270,P_2271,R_2272] :
( is_a_theorem(implies(X_2270,or(P_2271,R_2272)))
| ~ is_a_theorem(or(P_2271,implies(X_2270,R_2272))) ),
inference(resolution,[status(thm)],[c_344394,c_190]) ).
tff(c_345158,plain,
! [X_2313,P_2314,R_2315] :
( is_a_theorem(implies(X_2313,or(P_2314,R_2315)))
| ~ is_a_theorem(implies(X_2313,R_2315)) ),
inference(resolution,[status(thm)],[c_343030,c_344662]) ).
tff(c_345214,plain,
! [P_2319,R_2320,X_2321] :
( is_a_theorem(or(P_2319,R_2320))
| ~ is_a_theorem(X_2321)
| ~ is_a_theorem(implies(X_2321,R_2320)) ),
inference(resolution,[status(thm)],[c_345158,c_190]) ).
tff(c_349244,plain,
! [P_2536,Q_2537,P_2538] :
( is_a_theorem(or(P_2536,or(Q_2537,P_2538)))
| ~ is_a_theorem(or(P_2538,Q_2537)) ),
inference(resolution,[status(thm)],[c_167,c_345214]) ).
tff(c_343654,plain,
! [Q_2207,P_2206,R_2208] :
( is_a_theorem(or(Q_2207,or(P_2206,R_2208)))
| ~ is_a_theorem(or(P_2206,or(Q_2207,R_2208))) ),
inference(resolution,[status(thm)],[c_343631,c_190]) ).
tff(c_350281,plain,
! [Q_2588,P_2589,P_2590] :
( is_a_theorem(or(Q_2588,or(P_2589,P_2590)))
| ~ is_a_theorem(or(P_2590,Q_2588)) ),
inference(resolution,[status(thm)],[c_349244,c_343654]) ).
tff(c_350773,plain,
! [P_2623,P_2624] :
( is_a_theorem(or(P_2623,P_2624))
| ~ is_a_theorem(or(P_2624,or(P_2623,P_2624))) ),
inference(resolution,[status(thm)],[c_350281,c_343029]) ).
tff(c_350870,plain,
! [X_62,Y_63] :
( is_a_theorem(or(not(X_62),Y_63))
| ~ is_a_theorem(or(Y_63,implies(X_62,Y_63))) ),
inference(superposition,[status(thm),theory(equality)],[c_153,c_350773]) ).
tff(c_352198,plain,
! [X_2694,Y_2695] :
( is_a_theorem(implies(X_2694,Y_2695))
| ~ is_a_theorem(or(Y_2695,implies(X_2694,Y_2695))) ),
inference(demodulation,[status(thm),theory(equality)],[c_153,c_350870]) ).
tff(c_352609,plain,
! [X_2717,Y_2718] :
( is_a_theorem(implies(X_2717,Y_2718))
| ~ is_a_theorem(implies(X_2717,or(Y_2718,Y_2718))) ),
inference(resolution,[status(thm)],[c_345062,c_352198]) ).
tff(c_352736,plain,
! [Y_2719] : is_a_theorem(implies(Y_2719,Y_2719)),
inference(resolution,[status(thm)],[c_342419,c_352609]) ).
tff(c_343142,plain,
! [P_2160,Q_2161] : is_a_theorem(implies(or(P_2160,Q_2161),or(Q_2161,P_2160))),
inference(demodulation,[status(thm),theory(equality)],[c_134,c_102]) ).
tff(c_343184,plain,
! [Q_2163,P_2164] :
( is_a_theorem(or(Q_2163,P_2164))
| ~ is_a_theorem(or(P_2164,Q_2163)) ),
inference(resolution,[status(thm)],[c_343142,c_190]) ).
tff(c_343413,plain,
! [Y_2181,X_2182] :
( is_a_theorem(or(Y_2181,not(X_2182)))
| ~ is_a_theorem(implies(X_2182,Y_2181)) ),
inference(superposition,[status(thm),theory(equality)],[c_153,c_343184]) ).
tff(c_343432,plain,
! [X_62,X_2182] :
( is_a_theorem(implies(X_62,not(X_2182)))
| ~ is_a_theorem(implies(X_2182,not(X_62))) ),
inference(superposition,[status(thm),theory(equality)],[c_153,c_343413]) ).
tff(c_352772,plain,
! [X_62] : is_a_theorem(implies(X_62,not(not(X_62)))),
inference(resolution,[status(thm)],[c_352736,c_343432]) ).
tff(c_353048,plain,
! [X_2732] : is_a_theorem(implies(X_2732,not(not(X_2732)))),
inference(resolution,[status(thm)],[c_352736,c_343432]) ).
tff(c_353103,plain,
! [X_2733] :
( is_a_theorem(not(not(X_2733)))
| ~ is_a_theorem(X_2733) ),
inference(resolution,[status(thm)],[c_353048,c_190]) ).
tff(c_355388,plain,
! [X_2822,Y_2823] :
( is_a_theorem(not(and(X_2822,Y_2823)))
| ~ is_a_theorem(implies(X_2822,not(Y_2823))) ),
inference(superposition,[status(thm),theory(equality)],[c_155,c_353103]) ).
tff(c_355486,plain,
! [X_2824] : is_a_theorem(not(and(X_2824,not(X_2824)))),
inference(resolution,[status(thm)],[c_352772,c_355388]) ).
tff(c_355527,plain,
! [X_2825] : is_a_theorem(or(X_2825,not(X_2825))),
inference(superposition,[status(thm),theory(equality)],[c_157,c_355486]) ).
tff(c_343522,plain,
! [Q_2189,R_2190,P_2191] : is_a_theorem(implies(implies(Q_2189,R_2190),implies(or(P_2191,Q_2189),or(P_2191,R_2190)))),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_110]) ).
tff(c_344417,plain,
! [P_2261,Q_2262,R_2263] :
( is_a_theorem(implies(or(P_2261,Q_2262),or(P_2261,R_2263)))
| ~ is_a_theorem(implies(Q_2262,R_2263)) ),
inference(resolution,[status(thm)],[c_343522,c_190]) ).
tff(c_344432,plain,
! [P_2261,R_2263,Q_2262] :
( is_a_theorem(or(P_2261,R_2263))
| ~ is_a_theorem(or(P_2261,Q_2262))
| ~ is_a_theorem(implies(Q_2262,R_2263)) ),
inference(resolution,[status(thm)],[c_344417,c_190]) ).
tff(c_356709,plain,
! [X_2851,R_2852] :
( is_a_theorem(or(X_2851,R_2852))
| ~ is_a_theorem(implies(not(X_2851),R_2852)) ),
inference(resolution,[status(thm)],[c_355527,c_344432]) ).
tff(c_356959,plain,
! [X_2855,Y_2856] : is_a_theorem(or(X_2855,implies(X_2855,Y_2856))),
inference(resolution,[status(thm)],[c_342424,c_356709]) ).
tff(c_356991,plain,
! [X_62,Y_2856] : is_a_theorem(implies(X_62,implies(not(X_62),Y_2856))),
inference(superposition,[status(thm),theory(equality)],[c_153,c_356959]) ).
tff(c_86,plain,
! [P_42,Q_43] :
( is_a_theorem(implies(P_42,implies(not(P_42),Q_43)))
| ~ cn2 ),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_343046,plain,
~ cn2,
inference(splitLeft,[status(thm)],[c_86]) ).
tff(c_84,plain,
( cn2
| ~ is_a_theorem(implies('#skF_42',implies(not('#skF_42'),'#skF_43'))) ),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_343077,plain,
~ is_a_theorem(implies('#skF_42',implies(not('#skF_42'),'#skF_43'))),
inference(negUnitSimplification,[status(thm)],[c_343046,c_84]) ).
tff(c_357320,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_356991,c_343077]) ).
tff(c_357354,plain,
! [P_2870,Q_2871] : is_a_theorem(implies(P_2870,implies(not(P_2870),Q_2871))),
inference(splitRight,[status(thm)],[c_86]) ).
tff(c_357358,plain,
! [P_2870,Q_2871] :
( is_a_theorem(implies(not(P_2870),Q_2871))
| ~ is_a_theorem(P_2870) ),
inference(resolution,[status(thm)],[c_357354,c_190]) ).
tff(c_343036,plain,
! [P_2150] :
( is_a_theorem(P_2150)
| ~ is_a_theorem(or(P_2150,P_2150)) ),
inference(resolution,[status(thm)],[c_175,c_343006]) ).
tff(c_357485,plain,
! [X_2884] :
( is_a_theorem(not(X_2884))
| ~ is_a_theorem(implies(X_2884,not(X_2884))) ),
inference(superposition,[status(thm),theory(equality)],[c_153,c_343036]) ).
tff(c_357506,plain,
! [P_2885] :
( is_a_theorem(not(not(P_2885)))
| ~ is_a_theorem(P_2885) ),
inference(resolution,[status(thm)],[c_357358,c_357485]) ).
tff(c_357512,plain,
! [X_58,Y_59] :
( is_a_theorem(not(and(X_58,Y_59)))
| ~ is_a_theorem(implies(X_58,not(Y_59))) ),
inference(superposition,[status(thm),theory(equality)],[c_155,c_357506]) ).
tff(c_376647,plain,
! [X_3791] : is_a_theorem(not(and(X_3791,not(X_3791)))),
inference(resolution,[status(thm)],[c_376523,c_357512]) ).
tff(c_376693,plain,
! [X_3792] : is_a_theorem(or(X_3792,not(X_3792))),
inference(superposition,[status(thm),theory(equality)],[c_157,c_376647]) ).
tff(c_357994,plain,
! [Q_2928,R_2929,P_2930] : is_a_theorem(implies(implies(Q_2928,R_2929),implies(or(P_2930,Q_2928),or(P_2930,R_2929)))),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_110]) ).
tff(c_360437,plain,
! [P_3157,Q_3158,R_3159] :
( is_a_theorem(implies(or(P_3157,Q_3158),or(P_3157,R_3159)))
| ~ is_a_theorem(implies(Q_3158,R_3159)) ),
inference(resolution,[status(thm)],[c_357994,c_190]) ).
tff(c_360452,plain,
! [P_3157,R_3159,Q_3158] :
( is_a_theorem(or(P_3157,R_3159))
| ~ is_a_theorem(or(P_3157,Q_3158))
| ~ is_a_theorem(implies(Q_3158,R_3159)) ),
inference(resolution,[status(thm)],[c_360437,c_190]) ).
tff(c_377555,plain,
! [X_3834,R_3835] :
( is_a_theorem(or(X_3834,R_3835))
| ~ is_a_theorem(implies(not(X_3834),R_3835)) ),
inference(resolution,[status(thm)],[c_376693,c_360452]) ).
tff(c_378038,plain,
! [X_3844] : is_a_theorem(or(X_3844,not(not(not(X_3844))))),
inference(resolution,[status(thm)],[c_375725,c_377555]) ).
tff(c_357608,plain,
! [X_2889,Y_2888] :
( is_a_theorem(implies(X_2889,Y_2888))
| ~ is_a_theorem(or(Y_2888,not(X_2889))) ),
inference(resolution,[status(thm)],[c_357594,c_190]) ).
tff(c_378090,plain,
! [X_3844] : is_a_theorem(implies(not(not(X_3844)),X_3844)),
inference(resolution,[status(thm)],[c_378038,c_357608]) ).
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_357387,plain,
! [X_2877,Y_2878] : ( not(implies(X_2877,not(Y_2878))) = and(X_2877,Y_2878) ),
inference(demodulation,[status(thm),theory(equality)],[c_124,c_153,c_114]) ).
tff(c_357408,plain,
! [X_2877,Y_2878,Y_63] : ( implies(implies(X_2877,not(Y_2878)),Y_63) = or(and(X_2877,Y_2878),Y_63) ),
inference(superposition,[status(thm),theory(equality)],[c_357387,c_153]) ).
tff(c_357607,plain,
! [X_62,X_2889] : is_a_theorem(implies(implies(X_62,not(X_2889)),implies(X_2889,not(X_62)))),
inference(superposition,[status(thm),theory(equality)],[c_153,c_357594]) ).
tff(c_358366,plain,
! [X_62,X_2889] : is_a_theorem(or(and(X_62,X_2889),implies(X_2889,not(X_62)))),
inference(demodulation,[status(thm),theory(equality)],[c_357408,c_357607]) ).
tff(c_357887,plain,
! [P_2913,X_62,R_2915] : is_a_theorem(implies(or(P_2913,or(not(X_62),R_2915)),implies(X_62,or(P_2913,R_2915)))),
inference(superposition,[status(thm),theory(equality)],[c_153,c_357866]) ).
tff(c_358674,plain,
! [P_2974,X_2975,R_2976] : is_a_theorem(implies(or(P_2974,implies(X_2975,R_2976)),implies(X_2975,or(P_2974,R_2976)))),
inference(demodulation,[status(thm),theory(equality)],[c_153,c_357887]) ).
tff(c_365258,plain,
! [X_3389,P_3390,R_3391] :
( is_a_theorem(implies(X_3389,or(P_3390,R_3391)))
| ~ is_a_theorem(or(P_3390,implies(X_3389,R_3391))) ),
inference(resolution,[status(thm)],[c_358674,c_190]) ).
tff(c_365657,plain,
! [X_3402,X_3403] : is_a_theorem(implies(X_3402,or(and(X_3403,X_3402),not(X_3403)))),
inference(resolution,[status(thm)],[c_358366,c_365258]) ).
tff(c_365705,plain,
! [X_3404,X_3405] :
( is_a_theorem(or(and(X_3404,X_3405),not(X_3404)))
| ~ is_a_theorem(X_3405) ),
inference(resolution,[status(thm)],[c_365657,c_190]) ).
tff(c_365736,plain,
! [X_3404,X_3405] :
( is_a_theorem(implies(X_3404,and(X_3404,X_3405)))
| ~ is_a_theorem(X_3405) ),
inference(resolution,[status(thm)],[c_365705,c_357608]) ).
tff(c_377914,plain,
! [X_3840,P_3841] : is_a_theorem(or(X_3840,or(P_3841,not(X_3840)))),
inference(resolution,[status(thm)],[c_171,c_377555]) ).
tff(c_377969,plain,
! [P_3841,X_3840] : is_a_theorem(or(P_3841,or(X_3840,not(X_3840)))),
inference(resolution,[status(thm)],[c_377914,c_357889]) ).
tff(c_358004,plain,
! [P_2930,Q_2928,R_2929] :
( is_a_theorem(implies(or(P_2930,Q_2928),or(P_2930,R_2929)))
| ~ is_a_theorem(implies(Q_2928,R_2929)) ),
inference(resolution,[status(thm)],[c_357994,c_190]) ).
tff(c_417474,plain,
! [R_4561,Q_4562] :
( is_a_theorem(implies(or(R_4561,Q_4562),R_4561))
| ~ is_a_theorem(implies(Q_4562,R_4561)) ),
inference(resolution,[status(thm)],[c_358004,c_375479]) ).
tff(c_418417,plain,
! [R_4575,Q_4576] :
( is_a_theorem(R_4575)
| ~ is_a_theorem(or(R_4575,Q_4576))
| ~ is_a_theorem(implies(Q_4576,R_4575)) ),
inference(resolution,[status(thm)],[c_417474,c_190]) ).
tff(c_428489,plain,
! [P_4683,X_4684] :
( is_a_theorem(P_4683)
| ~ is_a_theorem(implies(or(X_4684,not(X_4684)),P_4683)) ),
inference(resolution,[status(thm)],[c_377969,c_418417]) ).
tff(c_440179,plain,
! [X_4843,X_4844] :
( is_a_theorem(and(or(X_4843,not(X_4843)),X_4844))
| ~ is_a_theorem(X_4844) ),
inference(resolution,[status(thm)],[c_365736,c_428489]) ).
tff(c_440778,plain,
! [X_4852,X_4853] :
( is_a_theorem(and(implies(X_4852,not(not(X_4852))),X_4853))
| ~ is_a_theorem(X_4853) ),
inference(superposition,[status(thm),theory(equality)],[c_153,c_440179]) ).
tff(c_440989,plain,
! [X_64] :
( is_a_theorem(equiv(X_64,not(not(X_64))))
| ~ is_a_theorem(implies(not(not(X_64)),X_64)) ),
inference(superposition,[status(thm),theory(equality)],[c_151,c_440778]) ).
tff(c_441060,plain,
! [X_4854] : is_a_theorem(equiv(X_4854,not(not(X_4854)))),
inference(demodulation,[status(thm),theory(equality)],[c_378090,c_440989]) ).
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_185,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_441406,plain,
! [X_4855] : ( not(not(X_4855)) = X_4855 ),
inference(resolution,[status(thm)],[c_441060,c_185]) ).
tff(c_442416,plain,
! [X_4855,Y_63] : ( implies(not(X_4855),Y_63) = or(X_4855,Y_63) ),
inference(superposition,[status(thm),theory(equality)],[c_441406,c_153]) ).
tff(c_148,plain,
~ cn3,
inference(cnfTransformation,[status(thm)],[f_265]) ).
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_178,plain,
~ is_a_theorem(implies(implies(not('#skF_44'),'#skF_44'),'#skF_44')),
inference(negUnitSimplification,[status(thm)],[c_148,c_88]) ).
tff(c_443235,plain,
~ is_a_theorem(implies(or('#skF_44','#skF_44'),'#skF_44')),
inference(demodulation,[status(thm),theory(equality)],[c_442416,c_178]) ).
tff(c_443257,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_175,c_443235]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : LCL498+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15 % 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
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 14:13:05 EDT 2023
% 0.15/0.36 % CPUTime :
% 144.17/112.91 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 144.17/112.93
% 144.17/112.93 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 144.34/112.98
% 144.34/112.98 Inference rules
% 144.34/112.98 ----------------------
% 144.34/112.98 #Ref : 0
% 144.34/112.98 #Sup : 121098
% 144.34/112.98 #Fact : 0
% 144.34/112.98 #Define : 0
% 144.34/112.98 #Split : 105
% 144.34/112.98 #Chain : 0
% 144.34/112.98 #Close : 0
% 144.34/112.98
% 144.34/112.98 Ordering : KBO
% 144.34/112.98
% 144.34/112.98 Simplification rules
% 144.34/112.98 ----------------------
% 144.34/112.98 #Subsume : 19685
% 144.34/112.98 #Demod : 63939
% 144.34/112.98 #Tautology : 25234
% 144.34/112.98 #SimpNegUnit : 715
% 144.34/112.98 #BackRed : 334
% 144.34/112.98
% 144.34/112.98 #Partial instantiations: 0
% 144.34/112.98 #Strategies tried : 1
% 144.34/112.98
% 144.34/112.98 Timing (in seconds)
% 144.34/112.98 ----------------------
% 144.34/112.99 Preprocessing : 0.62
% 144.34/112.99 Parsing : 0.31
% 144.34/112.99 CNF conversion : 0.05
% 144.34/112.99 Main loop : 111.24
% 144.34/112.99 Inferencing : 7.80
% 144.34/112.99 Reduction : 60.82
% 144.34/112.99 Demodulation : 46.88
% 144.34/112.99 BG Simplification : 0.75
% 144.34/112.99 Subsumption : 35.99
% 144.34/112.99 Abstraction : 1.16
% 144.34/112.99 MUC search : 0.00
% 144.34/112.99 Cooper : 0.00
% 144.34/112.99 Total : 111.95
% 144.34/112.99 Index Insertion : 0.00
% 144.34/112.99 Index Deletion : 0.00
% 144.34/112.99 Index Matching : 0.00
% 144.34/112.99 BG Taut test : 0.00
%------------------------------------------------------------------------------