TSTP Solution File: RNG111+4 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : RNG111+4 : TPTP v8.1.2. Released v4.0.0.
% 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 : n025.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 10:55:00 EDT 2023
% Result : Theorem 239.91s 196.57s
% Output : CNFRefutation 240.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 85
% Syntax : Number of formulae : 328 ( 125 unt; 72 typ; 1 def)
% Number of atoms : 656 ( 300 equ)
% Maximal formula atoms : 33 ( 2 avg)
% Number of connectives : 661 ( 261 ~; 316 |; 60 &)
% ( 7 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 101 ( 54 >; 47 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 61 ( 61 usr; 18 con; 0-4 aty)
% Number of variables : 129 (; 101 !; 28 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdteqdtlpzmzozddtrp0 > aGcdOfAnd0 > misRelativelyPrime0 > iLess0 > doDivides0 > aElementOf0 > aDivisorOf0 > aSet0 > aNaturalNumber0 > aIdeal0 > aElement0 > sdtpldt1 > sdtpldt0 > sdtasdt0 > sdtasasdt0 > #nlpp > smndt0 > slsdtgt0 > sbrdtbr0 > xc > xb > xa > xI > sz10 > sz00 > #skF_33 > #skF_41 > #skF_44 > #skF_22 > #skF_24 > #skF_6 > #skF_31 > #skF_17 > #skF_25 > #skF_20 > #skF_36 > #skF_40 > #skF_4 > #skF_37 > #skF_8 > #skF_14 > #skF_15 > #skF_29 > #skF_26 > #skF_18 > #skF_23 > #skF_28 > #skF_5 > #skF_19 > #skF_38 > #skF_43 > #skF_7 > #skF_32 > #skF_39 > #skF_9 > #skF_13 > #skF_42 > #skF_11 > #skF_3 > #skF_2 > #skF_35 > #skF_48 > #skF_27 > #skF_12 > #skF_46 > #skF_1 > #skF_16 > #skF_21 > #skF_45 > #skF_30 > #skF_10 > #skF_34 > #skF_47
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_33',type,
'#skF_33': $i ).
tff('#skF_41',type,
'#skF_41': $i ).
tff('#skF_44',type,
'#skF_44': $i > $i ).
tff('#skF_22',type,
'#skF_22': ( $i * $i ) > $i ).
tff(sbrdtbr0,type,
sbrdtbr0: $i > $i ).
tff(sdtasdt0,type,
sdtasdt0: ( $i * $i ) > $i ).
tff(aSet0,type,
aSet0: $i > $o ).
tff('#skF_24',type,
'#skF_24': $i > $i ).
tff(xa,type,
xa: $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff(sz10,type,
sz10: $i ).
tff('#skF_31',type,
'#skF_31': $i ).
tff(sdtpldt1,type,
sdtpldt1: ( $i * $i ) > $i ).
tff('#skF_17',type,
'#skF_17': ( $i * $i ) > $i ).
tff('#skF_25',type,
'#skF_25': $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i ) > $i ).
tff(aElement0,type,
aElement0: $i > $o ).
tff('#skF_36',type,
'#skF_36': $i ).
tff(sz00,type,
sz00: $i ).
tff(misRelativelyPrime0,type,
misRelativelyPrime0: ( $i * $i ) > $o ).
tff('#skF_40',type,
'#skF_40': $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff('#skF_37',type,
'#skF_37': $i ).
tff(aIdeal0,type,
aIdeal0: $i > $o ).
tff(xI,type,
xI: $i ).
tff(xc,type,
xc: $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i * $i ) > $i ).
tff('#skF_29',type,
'#skF_29': $i > $i ).
tff('#skF_26',type,
'#skF_26': $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i ) > $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i * $i ) > $i ).
tff(aNaturalNumber0,type,
aNaturalNumber0: $i > $o ).
tff('#skF_28',type,
'#skF_28': $i > $i ).
tff(slsdtgt0,type,
slsdtgt0: $i > $i ).
tff(smndt0,type,
smndt0: $i > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i * $i ) > $i ).
tff('#skF_38',type,
'#skF_38': $i > $i ).
tff('#skF_43',type,
'#skF_43': $i > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i * $i ) > $i ).
tff(doDivides0,type,
doDivides0: ( $i * $i ) > $o ).
tff('#skF_32',type,
'#skF_32': $i ).
tff(aGcdOfAnd0,type,
aGcdOfAnd0: ( $i * $i * $i ) > $o ).
tff(aElementOf0,type,
aElementOf0: ( $i * $i ) > $o ).
tff('#skF_39',type,
'#skF_39': $i > $i ).
tff(xb,type,
xb: $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
tff('#skF_42',type,
'#skF_42': $i ).
tff('#skF_11',type,
'#skF_11': $i > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i ) > $i ).
tff(aDivisorOf0,type,
aDivisorOf0: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff('#skF_35',type,
'#skF_35': $i ).
tff('#skF_48',type,
'#skF_48': $i > $i ).
tff(sdtasasdt0,type,
sdtasasdt0: ( $i * $i ) > $i ).
tff(iLess0,type,
iLess0: ( $i * $i ) > $o ).
tff('#skF_27',type,
'#skF_27': $i > $i ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff('#skF_46',type,
'#skF_46': $i > $i ).
tff(sdteqdtlpzmzozddtrp0,type,
sdteqdtlpzmzozddtrp0: ( $i * $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i ) > $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i ) > $i ).
tff('#skF_45',type,
'#skF_45': $i > $i ).
tff('#skF_30',type,
'#skF_30': $i > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i * $i ) > $i ).
tff('#skF_34',type,
'#skF_34': $i ).
tff('#skF_47',type,
'#skF_47': $i > $i ).
tff(f_357,hypothesis,
( ( xa != sz00 )
| ( xb != sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2110) ).
tff(f_352,hypothesis,
( aElement0(xa)
& aElement0(xb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2091) ).
tff(f_479,hypothesis,
( ? [W0] :
( aElement0(W0)
& ( sdtasdt0(xa,W0) = sz00 ) )
& aElementOf0(sz00,slsdtgt0(xa))
& ? [W0] :
( aElement0(W0)
& ( sdtasdt0(xa,W0) = xa ) )
& aElementOf0(xa,slsdtgt0(xa))
& ? [W0] :
( aElement0(W0)
& ( sdtasdt0(xb,W0) = sz00 ) )
& aElementOf0(sz00,slsdtgt0(xb))
& ? [W0] :
( aElement0(W0)
& ( sdtasdt0(xb,W0) = xb ) )
& aElementOf0(xb,slsdtgt0(xb)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2203) ).
tff(f_125,axiom,
! [W0,W1] :
( ( aElement0(W0)
& aElement0(W1) )
=> ( ( sdtasdt0(W0,W1) = sz00 )
=> ( ( W0 = sz00 )
| ( W1 = sz00 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCancel) ).
tff(f_593,negated_conjecture,
~ ! [W0] :
( ( ? [W1,W2] :
( aElementOf0(W1,slsdtgt0(xa))
& aElementOf0(W2,slsdtgt0(xb))
& ( sdtpldt0(W1,W2) = W0 ) )
& aElementOf0(W0,xI)
& ( W0 != sz00 ) )
=> ( ! [W1] :
( ( ( ? [W2,W3] :
( aElementOf0(W2,slsdtgt0(xa))
& aElementOf0(W3,slsdtgt0(xb))
& ( sdtpldt0(W2,W3) = W1 ) )
| aElementOf0(W1,xI) )
& ( W1 != sz00 ) )
=> ( iLess0(sbrdtbr0(W1),sbrdtbr0(W0))
=> ? [W2] :
( ? [W3,W4] :
( aElementOf0(W3,slsdtgt0(xa))
& aElementOf0(W4,slsdtgt0(xb))
& ( sdtpldt0(W3,W4) = W2 ) )
& aElementOf0(W2,xI)
& ( W2 != sz00 )
& ! [W3] :
( ( ( ? [W4,W5] :
( aElementOf0(W4,slsdtgt0(xa))
& aElementOf0(W5,slsdtgt0(xb))
& ( sdtpldt0(W4,W5) = W3 ) )
| aElementOf0(W3,xI) )
& ( W3 != sz00 ) )
=> ~ iLess0(sbrdtbr0(W3),sbrdtbr0(W2)) ) ) ) )
=> ? [W1] :
( ( ? [W2,W3] :
( aElementOf0(W2,slsdtgt0(xa))
& aElementOf0(W3,slsdtgt0(xb))
& ( sdtpldt0(W2,W3) = W1 ) )
| aElementOf0(W1,xI) )
& ( W1 != sz00 )
& ! [W2] :
( ( ? [W3,W4] :
( aElementOf0(W3,slsdtgt0(xa))
& aElementOf0(W4,slsdtgt0(xb))
& ( sdtpldt0(W3,W4) = W2 ) )
& aElementOf0(W2,xI)
& ( W2 != sz00 ) )
=> ~ iLess0(sbrdtbr0(W2),sbrdtbr0(W1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(f_452,hypothesis,
( aSet0(xI)
& ! [W0] :
( aElementOf0(W0,xI)
=> ( ! [W1] :
( aElementOf0(W1,xI)
=> aElementOf0(sdtpldt0(W0,W1),xI) )
& ! [W1] :
( aElement0(W1)
=> aElementOf0(sdtasdt0(W1,W0),xI) ) ) )
& aIdeal0(xI)
& ! [W0] :
( aElementOf0(W0,slsdtgt0(xa))
<=> ? [W1] :
( aElement0(W1)
& ( sdtasdt0(xa,W1) = W0 ) ) )
& ! [W0] :
( aElementOf0(W0,slsdtgt0(xb))
<=> ? [W1] :
( aElement0(W1)
& ( sdtasdt0(xb,W1) = W0 ) ) )
& ! [W0] :
( aElementOf0(W0,xI)
<=> ? [W1,W2] :
( aElementOf0(W1,slsdtgt0(xa))
& aElementOf0(W2,slsdtgt0(xb))
& ( sdtpldt0(W1,W2) = W0 ) ) )
& ( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2174) ).
tff(f_115,axiom,
! [W0] :
( aElement0(W0)
=> ( ( sdtasdt0(W0,sz00) = sz00 )
& ( sz00 = sdtasdt0(sz00,W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulZero) ).
tff(f_67,axiom,
! [W0] :
( aElement0(W0)
=> ( ( sdtpldt0(W0,sz00) = W0 )
& ( W0 = sdtpldt0(sz00,W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
tff(f_31,axiom,
aElement0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
tff(f_93,axiom,
! [W0] :
( aElement0(W0)
=> ( ( sdtasdt0(W0,sz10) = W0 )
& ( W0 = sdtasdt0(sz10,W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulUnit) ).
tff(f_345,definition,
! [W0] :
( aElement0(W0)
=> ! [W1] :
( ( W1 = slsdtgt0(W0) )
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
<=> ? [W3] :
( aElement0(W3)
& ( sdtasdt0(W0,W3) = W2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrIdeal) ).
tff(f_507,hypothesis,
? [W0] :
( ! [W1] :
( aElementOf0(W1,slsdtgt0(xa))
<=> ? [W2] :
( aElement0(W2)
& ( sdtasdt0(xa,W2) = W1 ) ) )
& ! [W1] :
( aElementOf0(W1,slsdtgt0(xb))
<=> ? [W2] :
( aElement0(W2)
& ( sdtasdt0(xb,W2) = W1 ) ) )
& ? [W1,W2] :
( aElementOf0(W1,slsdtgt0(xa))
& aElementOf0(W2,slsdtgt0(xb))
& ( sdtpldt0(W1,W2) = W0 ) )
& aElementOf0(W0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& ( W0 != sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2228) ).
tff(f_137,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
tff(c_212,plain,
( ( xb != sz00 )
| ( xa != sz00 ) ),
inference(cnfTransformation,[status(thm)],[f_357]) ).
tff(c_459,plain,
xa != sz00,
inference(splitLeft,[status(thm)],[c_212]) ).
tff(c_210,plain,
aElement0(xa),
inference(cnfTransformation,[status(thm)],[f_352]) ).
tff(c_342,plain,
aElement0('#skF_34'),
inference(cnfTransformation,[status(thm)],[f_479]) ).
tff(c_340,plain,
sdtasdt0(xa,'#skF_34') = sz00,
inference(cnfTransformation,[status(thm)],[f_479]) ).
tff(c_223803,plain,
! [W1_1214,W0_1215] :
( ( sz00 = W1_1214 )
| ( sz00 = W0_1215 )
| ( sdtasdt0(W0_1215,W1_1214) != sz00 )
| ~ aElement0(W1_1214)
| ~ aElement0(W0_1215) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_224155,plain,
( ( sz00 = '#skF_34' )
| ( xa = sz00 )
| ~ aElement0('#skF_34')
| ~ aElement0(xa) ),
inference(superposition,[status(thm),theory(equality)],[c_340,c_223803]) ).
tff(c_224787,plain,
( ( sz00 = '#skF_34' )
| ( xa = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_210,c_342,c_224155]) ).
tff(c_224788,plain,
sz00 = '#skF_34',
inference(negUnitSimplification,[status(thm)],[c_459,c_224787]) ).
tff(c_372,plain,
aElementOf0('#skF_42',slsdtgt0(xb)),
inference(cnfTransformation,[status(thm)],[f_593]) ).
tff(c_2263,plain,
! [W0_402] :
( aElement0('#skF_29'(W0_402))
| ~ aElementOf0(W0_402,slsdtgt0(xb)) ),
inference(cnfTransformation,[status(thm)],[f_452]) ).
tff(c_2286,plain,
aElement0('#skF_29'('#skF_42')),
inference(resolution,[status(thm)],[c_372,c_2263]) ).
tff(c_42,plain,
! [W0_24] :
( ( sdtasdt0(sz00,W0_24) = sz00 )
| ~ aElement0(W0_24) ),
inference(cnfTransformation,[status(thm)],[f_115]) ).
tff(c_2355,plain,
sdtasdt0(sz00,'#skF_29'('#skF_42')) = sz00,
inference(resolution,[status(thm)],[c_2286,c_42]) ).
tff(c_208,plain,
aElement0(xb),
inference(cnfTransformation,[status(thm)],[f_352]) ).
tff(c_897,plain,
! [W0_380] :
( ( sdtpldt0(sz00,W0_380) = W0_380 )
| ~ aElement0(W0_380) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_943,plain,
sdtpldt0(sz00,xb) = xb,
inference(resolution,[status(thm)],[c_208,c_897]) ).
tff(c_338,plain,
aElementOf0(sz00,slsdtgt0(xa)),
inference(cnfTransformation,[status(thm)],[f_479]) ).
tff(c_320,plain,
aElementOf0(xb,slsdtgt0(xb)),
inference(cnfTransformation,[status(thm)],[f_479]) ).
tff(c_1388,plain,
! [W3_393,W2_394] :
( ~ aElementOf0(W3_393,slsdtgt0(xb))
| ~ aElementOf0(W2_394,slsdtgt0(xa))
| aElementOf0('#skF_46'(sdtpldt0(W2_394,W3_393)),xI)
| ( sdtpldt0(W2_394,W3_393) = sz00 ) ),
inference(cnfTransformation,[status(thm)],[f_593]) ).
tff(c_1436,plain,
( ~ aElementOf0(xb,slsdtgt0(xb))
| ~ aElementOf0(sz00,slsdtgt0(xa))
| aElementOf0('#skF_46'(xb),xI)
| ( sdtpldt0(sz00,xb) = sz00 ) ),
inference(superposition,[status(thm),theory(equality)],[c_943,c_1388]) ).
tff(c_1498,plain,
( aElementOf0('#skF_46'(xb),xI)
| ( xb = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_943,c_338,c_320,c_1436]) ).
tff(c_8145,plain,
xb = sz00,
inference(splitLeft,[status(thm)],[c_1498]) ).
tff(c_8146,plain,
! [W0_456] :
( ( sdtasdt0(xb,'#skF_29'(W0_456)) = W0_456 )
| ~ aElementOf0(W0_456,slsdtgt0(xb)) ),
inference(cnfTransformation,[status(thm)],[f_452]) ).
tff(c_8204,plain,
sdtasdt0(xb,'#skF_29'('#skF_42')) = '#skF_42',
inference(resolution,[status(thm)],[c_372,c_8146]) ).
tff(c_8364,plain,
sz00 = '#skF_42',
inference(demodulation,[status(thm),theory(equality)],[c_2355,c_8145,c_8204]) ).
tff(c_8506,plain,
xa != '#skF_42',
inference(demodulation,[status(thm),theory(equality)],[c_8364,c_459]) ).
tff(c_8507,plain,
sdtasdt0(xa,'#skF_34') = '#skF_42',
inference(demodulation,[status(thm),theory(equality)],[c_8364,c_340]) ).
tff(c_46,plain,
! [W1_26,W0_25] :
( ( sz00 = W1_26 )
| ( sz00 = W0_25 )
| ( sdtasdt0(W0_25,W1_26) != sz00 )
| ~ aElement0(W1_26)
| ~ aElement0(W0_25) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_14487,plain,
! [W1_528,W0_529] :
( ( W1_528 = '#skF_42' )
| ( W0_529 = '#skF_42' )
| ( sdtasdt0(W0_529,W1_528) != '#skF_42' )
| ~ aElement0(W1_528)
| ~ aElement0(W0_529) ),
inference(demodulation,[status(thm),theory(equality)],[c_8364,c_8364,c_8364,c_46]) ).
tff(c_14607,plain,
( ( '#skF_42' = '#skF_34' )
| ( xa = '#skF_42' )
| ~ aElement0('#skF_34')
| ~ aElement0(xa) ),
inference(superposition,[status(thm),theory(equality)],[c_8507,c_14487]) ).
tff(c_14920,plain,
( ( '#skF_42' = '#skF_34' )
| ( xa = '#skF_42' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_210,c_342,c_14607]) ).
tff(c_14921,plain,
'#skF_42' = '#skF_34',
inference(negUnitSimplification,[status(thm)],[c_8506,c_14920]) ).
tff(c_366,plain,
sz00 != '#skF_40',
inference(cnfTransformation,[status(thm)],[f_593]) ).
tff(c_370,plain,
sdtpldt0('#skF_41','#skF_42') = '#skF_40',
inference(cnfTransformation,[status(thm)],[f_593]) ).
tff(c_374,plain,
aElementOf0('#skF_41',slsdtgt0(xa)),
inference(cnfTransformation,[status(thm)],[f_593]) ).
tff(c_1466,plain,
( ~ aElementOf0('#skF_42',slsdtgt0(xb))
| ~ aElementOf0('#skF_41',slsdtgt0(xa))
| aElementOf0('#skF_46'('#skF_40'),xI)
| ( sdtpldt0('#skF_41','#skF_42') = sz00 ) ),
inference(superposition,[status(thm),theory(equality)],[c_370,c_1388]) ).
tff(c_1518,plain,
( aElementOf0('#skF_46'('#skF_40'),xI)
| ( sz00 = '#skF_40' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_370,c_374,c_372,c_1466]) ).
tff(c_1519,plain,
aElementOf0('#skF_46'('#skF_40'),xI),
inference(negUnitSimplification,[status(thm)],[c_366,c_1518]) ).
tff(c_368,plain,
aElementOf0('#skF_40',xI),
inference(cnfTransformation,[status(thm)],[f_593]) ).
tff(c_434,plain,
! [W1_365] :
( ~ aElementOf0(W1_365,xI)
| ( '#skF_46'(W1_365) != sz00 )
| ( sz00 = W1_365 ) ),
inference(cnfTransformation,[status(thm)],[f_593]) ).
tff(c_440,plain,
( ( '#skF_46'('#skF_40') != sz00 )
| ( sz00 = '#skF_40' ) ),
inference(resolution,[status(thm)],[c_368,c_434]) ).
tff(c_446,plain,
'#skF_46'('#skF_40') != sz00,
inference(negUnitSimplification,[status(thm)],[c_366,c_440]) ).
tff(c_376,plain,
! [W1_352] :
( ~ aElementOf0(W1_352,xI)
| iLess0(sbrdtbr0('#skF_46'(W1_352)),sbrdtbr0(W1_352))
| ( sz00 = W1_352 ) ),
inference(cnfTransformation,[status(thm)],[f_593]) ).
tff(c_868,plain,
! [W1_379] :
( ~ aElementOf0(W1_379,xI)
| ( '#skF_43'(W1_379) != sz00 )
| ~ iLess0(sbrdtbr0(W1_379),sbrdtbr0('#skF_40'))
| ( sz00 = W1_379 ) ),
inference(cnfTransformation,[status(thm)],[f_593]) ).
tff(c_872,plain,
( ~ aElementOf0('#skF_46'('#skF_40'),xI)
| ( '#skF_43'('#skF_46'('#skF_40')) != sz00 )
| ( '#skF_46'('#skF_40') = sz00 )
| ~ aElementOf0('#skF_40',xI)
| ( sz00 = '#skF_40' ) ),
inference(resolution,[status(thm)],[c_376,c_868]) ).
tff(c_875,plain,
( ~ aElementOf0('#skF_46'('#skF_40'),xI)
| ( '#skF_43'('#skF_46'('#skF_40')) != sz00 )
| ( '#skF_46'('#skF_40') = sz00 )
| ( sz00 = '#skF_40' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_368,c_872]) ).
tff(c_876,plain,
( ~ aElementOf0('#skF_46'('#skF_40'),xI)
| ( '#skF_43'('#skF_46'('#skF_40')) != sz00 ) ),
inference(negUnitSimplification,[status(thm)],[c_366,c_446,c_875]) ).
tff(c_8776,plain,
'#skF_43'('#skF_46'('#skF_40')) != '#skF_42',
inference(demodulation,[status(thm),theory(equality)],[c_8364,c_1519,c_876]) ).
tff(c_15227,plain,
'#skF_43'('#skF_46'('#skF_40')) != '#skF_34',
inference(demodulation,[status(thm),theory(equality)],[c_14921,c_8776]) ).
tff(c_8508,plain,
'#skF_46'('#skF_40') != '#skF_42',
inference(demodulation,[status(thm),theory(equality)],[c_8364,c_446]) ).
tff(c_15244,plain,
'#skF_46'('#skF_40') != '#skF_34',
inference(demodulation,[status(thm),theory(equality)],[c_14921,c_8508]) ).
tff(c_2490,plain,
! [W3_406,W2_407] :
( ~ aElementOf0(W3_406,slsdtgt0(xb))
| ~ aElementOf0(W2_407,slsdtgt0(xa))
| iLess0(sbrdtbr0('#skF_46'(sdtpldt0(W2_407,W3_406))),sbrdtbr0(sdtpldt0(W2_407,W3_406)))
| ( sdtpldt0(W2_407,W3_406) = sz00 ) ),
inference(cnfTransformation,[status(thm)],[f_593]) ).
tff(c_2664,plain,
( ~ aElementOf0('#skF_42',slsdtgt0(xb))
| ~ aElementOf0('#skF_41',slsdtgt0(xa))
| iLess0(sbrdtbr0('#skF_46'(sdtpldt0('#skF_41','#skF_42'))),sbrdtbr0('#skF_40'))
| ( sdtpldt0('#skF_41','#skF_42') = sz00 ) ),
inference(superposition,[status(thm),theory(equality)],[c_370,c_2490]) ).
tff(c_2785,plain,
( iLess0(sbrdtbr0('#skF_46'('#skF_40')),sbrdtbr0('#skF_40'))
| ( sz00 = '#skF_40' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_370,c_370,c_374,c_372,c_2664]) ).
tff(c_2786,plain,
iLess0(sbrdtbr0('#skF_46'('#skF_40')),sbrdtbr0('#skF_40')),
inference(negUnitSimplification,[status(thm)],[c_366,c_2785]) ).
tff(c_408,plain,
! [W1_320] :
( ~ aElementOf0(W1_320,xI)
| ( '#skF_43'(W1_320) != sz00 )
| ~ iLess0(sbrdtbr0(W1_320),sbrdtbr0('#skF_40'))
| ( sz00 = W1_320 ) ),
inference(cnfTransformation,[status(thm)],[f_593]) ).
tff(c_7079,plain,
( ~ aElementOf0('#skF_46'('#skF_40'),xI)
| ( '#skF_43'('#skF_46'('#skF_40')) != sz00 )
| ( '#skF_46'('#skF_40') = sz00 ) ),
inference(resolution,[status(thm)],[c_2786,c_408]) ).
tff(c_7098,plain,
( ( '#skF_43'('#skF_46'('#skF_40')) != sz00 )
| ( '#skF_46'('#skF_40') = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1519,c_7079]) ).
tff(c_7099,plain,
'#skF_43'('#skF_46'('#skF_40')) != sz00,
inference(negUnitSimplification,[status(thm)],[c_446,c_7098]) ).
tff(c_412,plain,
! [W1_320] :
( ~ aElementOf0(W1_320,xI)
| aElementOf0('#skF_43'(W1_320),xI)
| ~ iLess0(sbrdtbr0(W1_320),sbrdtbr0('#skF_40'))
| ( sz00 = W1_320 ) ),
inference(cnfTransformation,[status(thm)],[f_593]) ).
tff(c_7076,plain,
( ~ aElementOf0('#skF_46'('#skF_40'),xI)
| aElementOf0('#skF_43'('#skF_46'('#skF_40')),xI)
| ( '#skF_46'('#skF_40') = sz00 ) ),
inference(resolution,[status(thm)],[c_2786,c_412]) ).
tff(c_7094,plain,
( aElementOf0('#skF_43'('#skF_46'('#skF_40')),xI)
| ( '#skF_46'('#skF_40') = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1519,c_7076]) ).
tff(c_7095,plain,
aElementOf0('#skF_43'('#skF_46'('#skF_40')),xI),
inference(negUnitSimplification,[status(thm)],[c_446,c_7094]) ).
tff(c_380,plain,
! [W1_352] :
( ~ aElementOf0(W1_352,xI)
| ( '#skF_46'(W1_352) != sz00 )
| ( sz00 = W1_352 ) ),
inference(cnfTransformation,[status(thm)],[f_593]) ).
tff(c_7105,plain,
( ( '#skF_46'('#skF_43'('#skF_46'('#skF_40'))) != sz00 )
| ( '#skF_43'('#skF_46'('#skF_40')) = sz00 ) ),
inference(resolution,[status(thm)],[c_7095,c_380]) ).
tff(c_7111,plain,
'#skF_46'('#skF_43'('#skF_46'('#skF_40'))) != sz00,
inference(negUnitSimplification,[status(thm)],[c_7099,c_7105]) ).
tff(c_8387,plain,
'#skF_46'('#skF_43'('#skF_46'('#skF_40'))) != '#skF_42',
inference(demodulation,[status(thm),theory(equality)],[c_8364,c_7111]) ).
tff(c_15119,plain,
'#skF_46'('#skF_43'('#skF_46'('#skF_40'))) != '#skF_34',
inference(demodulation,[status(thm),theory(equality)],[c_14921,c_8387]) ).
tff(c_15251,plain,
sz00 = '#skF_34',
inference(demodulation,[status(thm),theory(equality)],[c_14921,c_8364]) ).
tff(c_2360,plain,
! [W1_403,W3_404] :
( ~ aElementOf0(W1_403,xI)
| ~ aElementOf0(W3_404,xI)
| ~ iLess0(sbrdtbr0(W3_404),sbrdtbr0('#skF_43'(W1_403)))
| ( sz00 = W3_404 )
| ~ iLess0(sbrdtbr0(W1_403),sbrdtbr0('#skF_40'))
| ( sz00 = W1_403 ) ),
inference(cnfTransformation,[status(thm)],[f_593]) ).
tff(c_2365,plain,
! [W1_403] :
( ~ aElementOf0(W1_403,xI)
| ~ aElementOf0('#skF_46'('#skF_43'(W1_403)),xI)
| ( '#skF_46'('#skF_43'(W1_403)) = sz00 )
| ~ iLess0(sbrdtbr0(W1_403),sbrdtbr0('#skF_40'))
| ( sz00 = W1_403 )
| ~ aElementOf0('#skF_43'(W1_403),xI)
| ( '#skF_43'(W1_403) = sz00 ) ),
inference(resolution,[status(thm)],[c_376,c_2360]) ).
tff(c_40491,plain,
! [W1_769] :
( ~ aElementOf0(W1_769,xI)
| ~ aElementOf0('#skF_46'('#skF_43'(W1_769)),xI)
| ( '#skF_46'('#skF_43'(W1_769)) = '#skF_34' )
| ~ iLess0(sbrdtbr0(W1_769),sbrdtbr0('#skF_40'))
| ( W1_769 = '#skF_34' )
| ~ aElementOf0('#skF_43'(W1_769),xI)
| ( '#skF_43'(W1_769) = '#skF_34' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15251,c_15251,c_15251,c_2365]) ).
tff(c_40498,plain,
( ~ aElementOf0('#skF_46'('#skF_40'),xI)
| ~ aElementOf0('#skF_46'('#skF_43'('#skF_46'('#skF_40'))),xI)
| ( '#skF_46'('#skF_43'('#skF_46'('#skF_40'))) = '#skF_34' )
| ( '#skF_46'('#skF_40') = '#skF_34' )
| ~ aElementOf0('#skF_43'('#skF_46'('#skF_40')),xI)
| ( '#skF_43'('#skF_46'('#skF_40')) = '#skF_34' ) ),
inference(resolution,[status(thm)],[c_2786,c_40491]) ).
tff(c_40505,plain,
( ~ aElementOf0('#skF_46'('#skF_43'('#skF_46'('#skF_40'))),xI)
| ( '#skF_46'('#skF_43'('#skF_46'('#skF_40'))) = '#skF_34' )
| ( '#skF_46'('#skF_40') = '#skF_34' )
| ( '#skF_43'('#skF_46'('#skF_40')) = '#skF_34' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7095,c_1519,c_40498]) ).
tff(c_40506,plain,
~ aElementOf0('#skF_46'('#skF_43'('#skF_46'('#skF_40'))),xI),
inference(negUnitSimplification,[status(thm)],[c_15227,c_15244,c_15119,c_40505]) ).
tff(c_2024,plain,
! [W3_400,W2_401] :
( ~ aElementOf0(W3_400,slsdtgt0(xb))
| ~ aElementOf0(W2_401,slsdtgt0(xa))
| aElementOf0('#skF_48'(sdtpldt0(W2_401,W3_400)),slsdtgt0(xb))
| ( sdtpldt0(W2_401,W3_400) = sz00 ) ),
inference(cnfTransformation,[status(thm)],[f_593]) ).
tff(c_2107,plain,
( ~ aElementOf0('#skF_42',slsdtgt0(xb))
| ~ aElementOf0('#skF_41',slsdtgt0(xa))
| aElementOf0('#skF_48'('#skF_40'),slsdtgt0(xb))
| ( sdtpldt0('#skF_41','#skF_42') = sz00 ) ),
inference(superposition,[status(thm),theory(equality)],[c_370,c_2024]) ).
tff(c_2161,plain,
( aElementOf0('#skF_48'('#skF_40'),slsdtgt0(xb))
| ( sz00 = '#skF_40' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_370,c_374,c_372,c_2107]) ).
tff(c_2162,plain,
aElementOf0('#skF_48'('#skF_40'),slsdtgt0(xb)),
inference(negUnitSimplification,[status(thm)],[c_366,c_2161]) ).
tff(c_310,plain,
! [W0_235] :
( aElement0('#skF_29'(W0_235))
| ~ aElementOf0(W0_235,slsdtgt0(xb)) ),
inference(cnfTransformation,[status(thm)],[f_452]) ).
tff(c_3862,plain,
aElement0('#skF_29'('#skF_48'('#skF_40'))),
inference(resolution,[status(thm)],[c_2162,c_310]) ).
tff(c_3911,plain,
sdtasdt0(sz00,'#skF_29'('#skF_48'('#skF_40'))) = sz00,
inference(resolution,[status(thm)],[c_3862,c_42]) ).
tff(c_46674,plain,
sdtasdt0('#skF_34','#skF_29'('#skF_48'('#skF_40'))) = '#skF_34',
inference(demodulation,[status(thm),theory(equality)],[c_15251,c_15251,c_3911]) ).
tff(c_8373,plain,
xb = '#skF_42',
inference(demodulation,[status(thm),theory(equality)],[c_8364,c_8145]) ).
tff(c_15250,plain,
xb = '#skF_34',
inference(demodulation,[status(thm),theory(equality)],[c_14921,c_8373]) ).
tff(c_8198,plain,
sdtasdt0(xb,'#skF_29'('#skF_48'('#skF_40'))) = '#skF_48'('#skF_40'),
inference(resolution,[status(thm)],[c_2162,c_8146]) ).
tff(c_190012,plain,
'#skF_48'('#skF_40') = '#skF_34',
inference(demodulation,[status(thm),theory(equality)],[c_46674,c_15250,c_8198]) ).
tff(c_3453,plain,
! [W3_416,W2_417] :
( ~ aElementOf0(W3_416,slsdtgt0(xb))
| ~ aElementOf0(W2_417,slsdtgt0(xa))
| ( sdtpldt0('#skF_47'(sdtpldt0(W2_417,W3_416)),'#skF_48'(sdtpldt0(W2_417,W3_416))) = '#skF_46'(sdtpldt0(W2_417,W3_416)) )
| ( sdtpldt0(W2_417,W3_416) = sz00 ) ),
inference(cnfTransformation,[status(thm)],[f_593]) ).
tff(c_3702,plain,
( ~ aElementOf0('#skF_42',slsdtgt0(xb))
| ~ aElementOf0('#skF_41',slsdtgt0(xa))
| ( sdtpldt0('#skF_47'(sdtpldt0('#skF_41','#skF_42')),'#skF_48'('#skF_40')) = '#skF_46'(sdtpldt0('#skF_41','#skF_42')) )
| ( sdtpldt0('#skF_41','#skF_42') = sz00 ) ),
inference(superposition,[status(thm),theory(equality)],[c_370,c_3453]) ).
tff(c_3849,plain,
( ( sdtpldt0('#skF_47'('#skF_40'),'#skF_48'('#skF_40')) = '#skF_46'('#skF_40') )
| ( sz00 = '#skF_40' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_370,c_370,c_370,c_374,c_372,c_3702]) ).
tff(c_3850,plain,
sdtpldt0('#skF_47'('#skF_40'),'#skF_48'('#skF_40')) = '#skF_46'('#skF_40'),
inference(negUnitSimplification,[status(thm)],[c_366,c_3849]) ).
tff(c_190039,plain,
sdtpldt0('#skF_47'('#skF_40'),'#skF_34') = '#skF_46'('#skF_40'),
inference(demodulation,[status(thm),theory(equality)],[c_190012,c_3850]) ).
tff(c_1629,plain,
! [W3_396,W2_397] :
( ~ aElementOf0(W3_396,slsdtgt0(xb))
| ~ aElementOf0(W2_397,slsdtgt0(xa))
| aElementOf0('#skF_47'(sdtpldt0(W2_397,W3_396)),slsdtgt0(xa))
| ( sdtpldt0(W2_397,W3_396) = sz00 ) ),
inference(cnfTransformation,[status(thm)],[f_593]) ).
tff(c_1710,plain,
( ~ aElementOf0('#skF_42',slsdtgt0(xb))
| ~ aElementOf0('#skF_41',slsdtgt0(xa))
| aElementOf0('#skF_47'('#skF_40'),slsdtgt0(xa))
| ( sdtpldt0('#skF_41','#skF_42') = sz00 ) ),
inference(superposition,[status(thm),theory(equality)],[c_370,c_1629]) ).
tff(c_1763,plain,
( aElementOf0('#skF_47'('#skF_40'),slsdtgt0(xa))
| ( sz00 = '#skF_40' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_370,c_374,c_372,c_1710]) ).
tff(c_1764,plain,
aElementOf0('#skF_47'('#skF_40'),slsdtgt0(xa)),
inference(negUnitSimplification,[status(thm)],[c_366,c_1763]) ).
tff(c_6,plain,
aElement0(sz10),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_550,plain,
! [W0_372] :
( ( sdtasdt0(W0_372,sz10) = W0_372 )
| ~ aElement0(W0_372) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_598,plain,
sdtasdt0('#skF_34',sz10) = '#skF_34',
inference(resolution,[status(thm)],[c_342,c_550]) ).
tff(c_9428,plain,
! [W0_470,W3_471] :
( aElementOf0(sdtasdt0(W0_470,W3_471),slsdtgt0(W0_470))
| ~ aElement0(W3_471)
| ~ aElement0(W0_470) ),
inference(cnfTransformation,[status(thm)],[f_345]) ).
tff(c_9610,plain,
( aElementOf0('#skF_34',slsdtgt0('#skF_34'))
| ~ aElement0(sz10)
| ~ aElement0('#skF_34') ),
inference(superposition,[status(thm),theory(equality)],[c_598,c_9428]) ).
tff(c_9734,plain,
aElementOf0('#skF_34',slsdtgt0('#skF_34')),
inference(demodulation,[status(thm),theory(equality)],[c_342,c_6,c_9610]) ).
tff(c_1181,plain,
! [W1_388] :
( ~ aElementOf0(W1_388,xI)
| ( sdtpldt0('#skF_44'(W1_388),'#skF_45'(W1_388)) = '#skF_43'(W1_388) )
| ~ iLess0(sbrdtbr0(W1_388),sbrdtbr0('#skF_40'))
| ( sz00 = W1_388 ) ),
inference(cnfTransformation,[status(thm)],[f_593]) ).
tff(c_1184,plain,
( ~ aElementOf0('#skF_46'('#skF_40'),xI)
| ( sdtpldt0('#skF_44'('#skF_46'('#skF_40')),'#skF_45'('#skF_46'('#skF_40'))) = '#skF_43'('#skF_46'('#skF_40')) )
| ( '#skF_46'('#skF_40') = sz00 )
| ~ aElementOf0('#skF_40',xI)
| ( sz00 = '#skF_40' ) ),
inference(resolution,[status(thm)],[c_376,c_1181]) ).
tff(c_1187,plain,
( ~ aElementOf0('#skF_46'('#skF_40'),xI)
| ( sdtpldt0('#skF_44'('#skF_46'('#skF_40')),'#skF_45'('#skF_46'('#skF_40'))) = '#skF_43'('#skF_46'('#skF_40')) )
| ( '#skF_46'('#skF_40') = sz00 )
| ( sz00 = '#skF_40' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_368,c_1184]) ).
tff(c_1188,plain,
( ~ aElementOf0('#skF_46'('#skF_40'),xI)
| ( sdtpldt0('#skF_44'('#skF_46'('#skF_40')),'#skF_45'('#skF_46'('#skF_40'))) = '#skF_43'('#skF_46'('#skF_40')) ) ),
inference(negUnitSimplification,[status(thm)],[c_366,c_446,c_1187]) ).
tff(c_20192,plain,
sdtpldt0('#skF_44'('#skF_46'('#skF_40')),'#skF_45'('#skF_46'('#skF_40'))) = '#skF_43'('#skF_46'('#skF_40')),
inference(demodulation,[status(thm),theory(equality)],[c_1519,c_1188]) ).
tff(c_426,plain,
! [W3_339,W2_338] :
( ~ aElementOf0(W3_339,slsdtgt0(xb))
| ~ aElementOf0(W2_338,slsdtgt0(xa))
| aElementOf0('#skF_44'(sdtpldt0(W2_338,W3_339)),slsdtgt0(xa))
| ~ iLess0(sbrdtbr0(sdtpldt0(W2_338,W3_339)),sbrdtbr0('#skF_40'))
| ( sdtpldt0(W2_338,W3_339) = sz00 ) ),
inference(cnfTransformation,[status(thm)],[f_593]) ).
tff(c_7288,plain,
( ~ aElementOf0('#skF_48'('#skF_40'),slsdtgt0(xb))
| ~ aElementOf0('#skF_47'('#skF_40'),slsdtgt0(xa))
| aElementOf0('#skF_44'(sdtpldt0('#skF_47'('#skF_40'),'#skF_48'('#skF_40'))),slsdtgt0(xa))
| ~ iLess0(sbrdtbr0('#skF_46'('#skF_40')),sbrdtbr0('#skF_40'))
| ( sdtpldt0('#skF_47'('#skF_40'),'#skF_48'('#skF_40')) = sz00 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3850,c_426]) ).
tff(c_7348,plain,
( aElementOf0('#skF_44'('#skF_46'('#skF_40')),slsdtgt0(xa))
| ( '#skF_46'('#skF_40') = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3850,c_2786,c_3850,c_1764,c_2162,c_7288]) ).
tff(c_7349,plain,
aElementOf0('#skF_44'('#skF_46'('#skF_40')),slsdtgt0(xa)),
inference(negUnitSimplification,[status(thm)],[c_446,c_7348]) ).
tff(c_422,plain,
! [W3_339,W2_338] :
( ~ aElementOf0(W3_339,slsdtgt0(xb))
| ~ aElementOf0(W2_338,slsdtgt0(xa))
| aElementOf0('#skF_45'(sdtpldt0(W2_338,W3_339)),slsdtgt0(xb))
| ~ iLess0(sbrdtbr0(sdtpldt0(W2_338,W3_339)),sbrdtbr0('#skF_40'))
| ( sdtpldt0(W2_338,W3_339) = sz00 ) ),
inference(cnfTransformation,[status(thm)],[f_593]) ).
tff(c_7291,plain,
( ~ aElementOf0('#skF_48'('#skF_40'),slsdtgt0(xb))
| ~ aElementOf0('#skF_47'('#skF_40'),slsdtgt0(xa))
| aElementOf0('#skF_45'(sdtpldt0('#skF_47'('#skF_40'),'#skF_48'('#skF_40'))),slsdtgt0(xb))
| ~ iLess0(sbrdtbr0('#skF_46'('#skF_40')),sbrdtbr0('#skF_40'))
| ( sdtpldt0('#skF_47'('#skF_40'),'#skF_48'('#skF_40')) = sz00 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3850,c_422]) ).
tff(c_7351,plain,
( aElementOf0('#skF_45'('#skF_46'('#skF_40')),slsdtgt0(xb))
| ( '#skF_46'('#skF_40') = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3850,c_2786,c_3850,c_1764,c_2162,c_7291]) ).
tff(c_7352,plain,
aElementOf0('#skF_45'('#skF_46'('#skF_40')),slsdtgt0(xb)),
inference(negUnitSimplification,[status(thm)],[c_446,c_7351]) ).
tff(c_8208,plain,
aElementOf0('#skF_45'('#skF_46'('#skF_40')),slsdtgt0(sz00)),
inference(demodulation,[status(thm),theory(equality)],[c_8145,c_7352]) ).
tff(c_39813,plain,
aElementOf0('#skF_45'('#skF_46'('#skF_40')),slsdtgt0('#skF_34')),
inference(demodulation,[status(thm),theory(equality)],[c_15251,c_8208]) ).
tff(c_5202,plain,
! [W3_431,W2_432] :
( ~ aElementOf0(W3_431,slsdtgt0(xb))
| ~ aElementOf0(W2_432,slsdtgt0(xa))
| ( sdtpldt0('#skF_44'(sdtpldt0(W2_432,W3_431)),'#skF_45'(sdtpldt0(W2_432,W3_431))) = '#skF_43'(sdtpldt0(W2_432,W3_431)) )
| ~ iLess0(sbrdtbr0(sdtpldt0(W2_432,W3_431)),sbrdtbr0('#skF_40'))
| ( sdtpldt0(W2_432,W3_431) = sz00 ) ),
inference(cnfTransformation,[status(thm)],[f_593]) ).
tff(c_386,plain,
! [W3_361,W2_360] :
( ~ aElementOf0(W3_361,slsdtgt0(xb))
| ~ aElementOf0(W2_360,slsdtgt0(xa))
| aElementOf0('#skF_46'(sdtpldt0(W2_360,W3_361)),xI)
| ( sdtpldt0(W2_360,W3_361) = sz00 ) ),
inference(cnfTransformation,[status(thm)],[f_593]) ).
tff(c_5250,plain,
! [W2_432,W3_431] :
( ~ aElementOf0('#skF_45'(sdtpldt0(W2_432,W3_431)),slsdtgt0(xb))
| ~ aElementOf0('#skF_44'(sdtpldt0(W2_432,W3_431)),slsdtgt0(xa))
| aElementOf0('#skF_46'('#skF_43'(sdtpldt0(W2_432,W3_431))),xI)
| ( sdtpldt0('#skF_44'(sdtpldt0(W2_432,W3_431)),'#skF_45'(sdtpldt0(W2_432,W3_431))) = sz00 )
| ~ aElementOf0(W3_431,slsdtgt0(xb))
| ~ aElementOf0(W2_432,slsdtgt0(xa))
| ~ iLess0(sbrdtbr0(sdtpldt0(W2_432,W3_431)),sbrdtbr0('#skF_40'))
| ( sdtpldt0(W2_432,W3_431) = sz00 ) ),
inference(superposition,[status(thm),theory(equality)],[c_5202,c_386]) ).
tff(c_119878,plain,
! [W2_432,W3_431] :
( ~ aElementOf0('#skF_45'(sdtpldt0(W2_432,W3_431)),slsdtgt0('#skF_34'))
| ~ aElementOf0('#skF_44'(sdtpldt0(W2_432,W3_431)),slsdtgt0(xa))
| aElementOf0('#skF_46'('#skF_43'(sdtpldt0(W2_432,W3_431))),xI)
| ( sdtpldt0('#skF_44'(sdtpldt0(W2_432,W3_431)),'#skF_45'(sdtpldt0(W2_432,W3_431))) = '#skF_34' )
| ~ aElementOf0(W3_431,slsdtgt0('#skF_34'))
| ~ aElementOf0(W2_432,slsdtgt0(xa))
| ~ iLess0(sbrdtbr0(sdtpldt0(W2_432,W3_431)),sbrdtbr0('#skF_40'))
| ( sdtpldt0(W2_432,W3_431) = '#skF_34' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15251,c_15250,c_15251,c_15250,c_5250]) ).
tff(c_190376,plain,
( ~ aElementOf0('#skF_45'(sdtpldt0('#skF_47'('#skF_40'),'#skF_34')),slsdtgt0('#skF_34'))
| ~ aElementOf0('#skF_44'(sdtpldt0('#skF_47'('#skF_40'),'#skF_34')),slsdtgt0(xa))
| aElementOf0('#skF_46'('#skF_43'(sdtpldt0('#skF_47'('#skF_40'),'#skF_34'))),xI)
| ( sdtpldt0('#skF_44'(sdtpldt0('#skF_47'('#skF_40'),'#skF_34')),'#skF_45'('#skF_46'('#skF_40'))) = '#skF_34' )
| ~ aElementOf0('#skF_34',slsdtgt0('#skF_34'))
| ~ aElementOf0('#skF_47'('#skF_40'),slsdtgt0(xa))
| ~ iLess0(sbrdtbr0(sdtpldt0('#skF_47'('#skF_40'),'#skF_34')),sbrdtbr0('#skF_40'))
| ( sdtpldt0('#skF_47'('#skF_40'),'#skF_34') = '#skF_34' ) ),
inference(superposition,[status(thm),theory(equality)],[c_190039,c_119878]) ).
tff(c_190732,plain,
( aElementOf0('#skF_46'('#skF_43'('#skF_46'('#skF_40'))),xI)
| ( '#skF_43'('#skF_46'('#skF_40')) = '#skF_34' )
| ( '#skF_46'('#skF_40') = '#skF_34' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_190039,c_2786,c_190039,c_1764,c_9734,c_20192,c_190039,c_190039,c_7349,c_190039,c_39813,c_190039,c_190376]) ).
tff(c_190733,plain,
aElementOf0('#skF_46'('#skF_43'('#skF_46'('#skF_40'))),xI),
inference(negUnitSimplification,[status(thm)],[c_15244,c_15227,c_190732]) ).
tff(c_214961,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40506,c_190733]) ).
tff(c_214963,plain,
xb != sz00,
inference(splitRight,[status(thm)],[c_1498]) ).
tff(c_330,plain,
aElement0('#skF_32'),
inference(cnfTransformation,[status(thm)],[f_479]) ).
tff(c_328,plain,
sdtasdt0(xb,'#skF_32') = sz00,
inference(cnfTransformation,[status(thm)],[f_479]) ).
tff(c_224151,plain,
( ( sz00 = '#skF_32' )
| ( xb = sz00 )
| ~ aElement0('#skF_32')
| ~ aElement0(xb) ),
inference(superposition,[status(thm),theory(equality)],[c_328,c_223803]) ).
tff(c_224781,plain,
( ( sz00 = '#skF_32' )
| ( xb = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_208,c_330,c_224151]) ).
tff(c_224782,plain,
sz00 = '#skF_32',
inference(negUnitSimplification,[status(thm)],[c_214963,c_224781]) ).
tff(c_225083,plain,
'#skF_32' = '#skF_34',
inference(demodulation,[status(thm),theory(equality)],[c_224788,c_224782]) ).
tff(c_224923,plain,
'#skF_43'('#skF_46'('#skF_40')) != '#skF_32',
inference(demodulation,[status(thm),theory(equality)],[c_224782,c_7099]) ).
tff(c_231508,plain,
'#skF_43'('#skF_46'('#skF_40')) != '#skF_34',
inference(demodulation,[status(thm),theory(equality)],[c_225083,c_224923]) ).
tff(c_384,plain,
! [W1_352] :
( ~ aElementOf0(W1_352,xI)
| aElementOf0('#skF_46'(W1_352),xI)
| ( sz00 = W1_352 ) ),
inference(cnfTransformation,[status(thm)],[f_593]) ).
tff(c_225062,plain,
! [W1_352] :
( ~ aElementOf0(W1_352,xI)
| aElementOf0('#skF_46'(W1_352),xI)
| ( W1_352 = '#skF_32' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_224782,c_384]) ).
tff(c_225281,plain,
! [W1_352] :
( ~ aElementOf0(W1_352,xI)
| aElementOf0('#skF_46'(W1_352),xI)
| ( W1_352 = '#skF_34' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_225083,c_225062]) ).
tff(c_225072,plain,
'#skF_40' != '#skF_32',
inference(demodulation,[status(thm),theory(equality)],[c_224782,c_366]) ).
tff(c_225088,plain,
'#skF_40' != '#skF_34',
inference(demodulation,[status(thm),theory(equality)],[c_225083,c_225072]) ).
tff(c_225066,plain,
'#skF_46'('#skF_40') != '#skF_32',
inference(demodulation,[status(thm),theory(equality)],[c_224782,c_446]) ).
tff(c_225251,plain,
'#skF_46'('#skF_40') != '#skF_34',
inference(demodulation,[status(thm),theory(equality)],[c_225083,c_225066]) ).
tff(c_224919,plain,
'#skF_46'('#skF_43'('#skF_46'('#skF_40'))) != '#skF_32',
inference(demodulation,[status(thm),theory(equality)],[c_224782,c_7111]) ).
tff(c_248217,plain,
'#skF_46'('#skF_43'('#skF_46'('#skF_40'))) != '#skF_34',
inference(demodulation,[status(thm),theory(equality)],[c_225083,c_224919]) ).
tff(c_225046,plain,
! [W1_352] :
( ~ aElementOf0(W1_352,xI)
| iLess0(sbrdtbr0('#skF_46'(W1_352)),sbrdtbr0(W1_352))
| ( W1_352 = '#skF_32' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_224782,c_376]) ).
tff(c_226181,plain,
! [W1_352] :
( ~ aElementOf0(W1_352,xI)
| iLess0(sbrdtbr0('#skF_46'(W1_352)),sbrdtbr0(W1_352))
| ( W1_352 = '#skF_34' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_225083,c_225046]) ).
tff(c_257490,plain,
! [W1_1504] :
( ~ aElementOf0(W1_1504,xI)
| ~ aElementOf0('#skF_46'('#skF_43'(W1_1504)),xI)
| ( '#skF_46'('#skF_43'(W1_1504)) = '#skF_34' )
| ~ iLess0(sbrdtbr0(W1_1504),sbrdtbr0('#skF_40'))
| ( W1_1504 = '#skF_34' )
| ~ aElementOf0('#skF_43'(W1_1504),xI)
| ( '#skF_43'(W1_1504) = '#skF_34' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_224788,c_224788,c_224788,c_2365]) ).
tff(c_257498,plain,
( ~ aElementOf0('#skF_46'('#skF_40'),xI)
| ~ aElementOf0('#skF_46'('#skF_43'('#skF_46'('#skF_40'))),xI)
| ( '#skF_46'('#skF_43'('#skF_46'('#skF_40'))) = '#skF_34' )
| ( '#skF_46'('#skF_40') = '#skF_34' )
| ~ aElementOf0('#skF_43'('#skF_46'('#skF_40')),xI)
| ( '#skF_43'('#skF_46'('#skF_40')) = '#skF_34' )
| ~ aElementOf0('#skF_40',xI)
| ( '#skF_40' = '#skF_34' ) ),
inference(resolution,[status(thm)],[c_226181,c_257490]) ).
tff(c_257508,plain,
( ~ aElementOf0('#skF_46'('#skF_43'('#skF_46'('#skF_40'))),xI)
| ( '#skF_46'('#skF_43'('#skF_46'('#skF_40'))) = '#skF_34' )
| ( '#skF_46'('#skF_40') = '#skF_34' )
| ( '#skF_43'('#skF_46'('#skF_40')) = '#skF_34' )
| ( '#skF_40' = '#skF_34' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_368,c_7095,c_1519,c_257498]) ).
tff(c_257509,plain,
~ aElementOf0('#skF_46'('#skF_43'('#skF_46'('#skF_40'))),xI),
inference(negUnitSimplification,[status(thm)],[c_225088,c_231508,c_225251,c_248217,c_257508]) ).
tff(c_272559,plain,
( ~ aElementOf0('#skF_43'('#skF_46'('#skF_40')),xI)
| ( '#skF_43'('#skF_46'('#skF_40')) = '#skF_34' ) ),
inference(resolution,[status(thm)],[c_225281,c_257509]) ).
tff(c_272562,plain,
'#skF_43'('#skF_46'('#skF_40')) = '#skF_34',
inference(demodulation,[status(thm),theory(equality)],[c_7095,c_272559]) ).
tff(c_272564,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_231508,c_272562]) ).
tff(c_272566,plain,
xa = sz00,
inference(splitRight,[status(thm)],[c_212]) ).
tff(c_272570,plain,
aElementOf0('#skF_41',slsdtgt0(sz00)),
inference(demodulation,[status(thm),theory(equality)],[c_272566,c_374]) ).
tff(c_362,plain,
! [W1_264] :
( ( sdtasdt0(xa,'#skF_39'(W1_264)) = W1_264 )
| ~ aElementOf0(W1_264,slsdtgt0(xa)) ),
inference(cnfTransformation,[status(thm)],[f_507]) ).
tff(c_280306,plain,
! [W1_1642] :
( ( sdtasdt0(sz00,'#skF_39'(W1_1642)) = W1_1642 )
| ~ aElementOf0(W1_1642,slsdtgt0(sz00)) ),
inference(demodulation,[status(thm),theory(equality)],[c_272566,c_272566,c_362]) ).
tff(c_280359,plain,
sdtasdt0(sz00,'#skF_39'('#skF_41')) = '#skF_41',
inference(resolution,[status(thm)],[c_272570,c_280306]) ).
tff(c_364,plain,
! [W1_264] :
( aElement0('#skF_39'(W1_264))
| ~ aElementOf0(W1_264,slsdtgt0(xa)) ),
inference(cnfTransformation,[status(thm)],[f_507]) ).
tff(c_273479,plain,
! [W1_1579] :
( aElement0('#skF_39'(W1_1579))
| ~ aElementOf0(W1_1579,slsdtgt0(sz00)) ),
inference(demodulation,[status(thm),theory(equality)],[c_272566,c_364]) ).
tff(c_273493,plain,
aElement0('#skF_39'('#skF_41')),
inference(resolution,[status(thm)],[c_272570,c_273479]) ).
tff(c_273517,plain,
sdtasdt0(sz00,'#skF_39'('#skF_41')) = sz00,
inference(resolution,[status(thm)],[c_273493,c_42]) ).
tff(c_280363,plain,
sz00 = '#skF_41',
inference(demodulation,[status(thm),theory(equality)],[c_280359,c_273517]) ).
tff(c_352,plain,
aElementOf0('#skF_36',slsdtgt0(xa)),
inference(cnfTransformation,[status(thm)],[f_507]) ).
tff(c_272571,plain,
aElementOf0('#skF_36',slsdtgt0(sz00)),
inference(demodulation,[status(thm),theory(equality)],[c_272566,c_352]) ).
tff(c_280362,plain,
sdtasdt0(sz00,'#skF_39'('#skF_36')) = '#skF_36',
inference(resolution,[status(thm)],[c_272571,c_280306]) ).
tff(c_283185,plain,
sdtasdt0('#skF_41','#skF_39'('#skF_36')) = '#skF_36',
inference(demodulation,[status(thm),theory(equality)],[c_280363,c_280362]) ).
tff(c_273495,plain,
aElement0('#skF_39'('#skF_36')),
inference(resolution,[status(thm)],[c_272571,c_273479]) ).
tff(c_273565,plain,
sdtasdt0(sz00,'#skF_39'('#skF_36')) = sz00,
inference(resolution,[status(thm)],[c_273495,c_42]) ).
tff(c_280425,plain,
sdtasdt0('#skF_41','#skF_39'('#skF_36')) = '#skF_41',
inference(demodulation,[status(thm),theory(equality)],[c_280363,c_280363,c_273565]) ).
tff(c_283991,plain,
'#skF_41' = '#skF_36',
inference(demodulation,[status(thm),theory(equality)],[c_283185,c_280425]) ).
tff(c_272565,plain,
xb != sz00,
inference(splitRight,[status(thm)],[c_212]) ).
tff(c_280556,plain,
xb != '#skF_41',
inference(demodulation,[status(thm),theory(equality)],[c_280363,c_272565]) ).
tff(c_284120,plain,
xb != '#skF_36',
inference(demodulation,[status(thm),theory(equality)],[c_283991,c_280556]) ).
tff(c_280547,plain,
sdtasdt0(xb,'#skF_32') = '#skF_41',
inference(demodulation,[status(thm),theory(equality)],[c_280363,c_328]) ).
tff(c_284101,plain,
sdtasdt0(xb,'#skF_32') = '#skF_36',
inference(demodulation,[status(thm),theory(equality)],[c_283991,c_280547]) ).
tff(c_284124,plain,
sz00 = '#skF_36',
inference(demodulation,[status(thm),theory(equality)],[c_283991,c_280363]) ).
tff(c_284644,plain,
! [W1_1692,W0_1693] :
( ( W1_1692 = '#skF_36' )
| ( W0_1693 = '#skF_36' )
| ( sdtasdt0(W0_1693,W1_1692) != '#skF_36' )
| ~ aElement0(W1_1692)
| ~ aElement0(W0_1693) ),
inference(demodulation,[status(thm),theory(equality)],[c_284124,c_284124,c_284124,c_46]) ).
tff(c_284660,plain,
( ( '#skF_36' = '#skF_32' )
| ( xb = '#skF_36' )
| ~ aElement0('#skF_32')
| ~ aElement0(xb) ),
inference(superposition,[status(thm),theory(equality)],[c_284101,c_284644]) ).
tff(c_284764,plain,
( ( '#skF_36' = '#skF_32' )
| ( xb = '#skF_36' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_208,c_330,c_284660]) ).
tff(c_284765,plain,
'#skF_36' = '#skF_32',
inference(negUnitSimplification,[status(thm)],[c_284120,c_284764]) ).
tff(c_188,plain,
! [W0_181] :
( aSet0(slsdtgt0(W0_181))
| ~ aElement0(W0_181) ),
inference(cnfTransformation,[status(thm)],[f_345]) ).
tff(c_273169,plain,
! [W1_1571,W0_1572] :
( aElement0(W1_1571)
| ~ aElementOf0(W1_1571,W0_1572)
| ~ aSet0(W0_1572) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_273219,plain,
( aElement0('#skF_42')
| ~ aSet0(slsdtgt0(xb)) ),
inference(resolution,[status(thm)],[c_372,c_273169]) ).
tff(c_274525,plain,
~ aSet0(slsdtgt0(xb)),
inference(splitLeft,[status(thm)],[c_273219]) ).
tff(c_274537,plain,
~ aElement0(xb),
inference(resolution,[status(thm)],[c_188,c_274525]) ).
tff(c_274544,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_208,c_274537]) ).
tff(c_274545,plain,
aElement0('#skF_42'),
inference(splitRight,[status(thm)],[c_273219]) ).
tff(c_18,plain,
! [W0_12] :
( ( sdtpldt0(sz00,W0_12) = W0_12 )
| ~ aElement0(W0_12) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_274570,plain,
sdtpldt0(sz00,'#skF_42') = '#skF_42',
inference(resolution,[status(thm)],[c_274545,c_18]) ).
tff(c_280461,plain,
sdtpldt0('#skF_41','#skF_42') = '#skF_42',
inference(demodulation,[status(thm),theory(equality)],[c_280363,c_274570]) ).
tff(c_280811,plain,
'#skF_40' = '#skF_42',
inference(demodulation,[status(thm),theory(equality)],[c_280461,c_370]) ).
tff(c_273569,plain,
! [W3_1580,W2_1581] :
( ~ aElementOf0(W3_1580,slsdtgt0(xb))
| ~ aElementOf0(W2_1581,slsdtgt0(sz00))
| aElementOf0('#skF_46'(sdtpldt0(W2_1581,W3_1580)),xI)
| ( sdtpldt0(W2_1581,W3_1580) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_272566,c_386]) ).
tff(c_273656,plain,
( ~ aElementOf0('#skF_42',slsdtgt0(xb))
| ~ aElementOf0('#skF_41',slsdtgt0(sz00))
| aElementOf0('#skF_46'('#skF_40'),xI)
| ( sdtpldt0('#skF_41','#skF_42') = sz00 ) ),
inference(superposition,[status(thm),theory(equality)],[c_370,c_273569]) ).
tff(c_273719,plain,
( aElementOf0('#skF_46'('#skF_40'),xI)
| ( sz00 = '#skF_40' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_370,c_272570,c_372,c_273656]) ).
tff(c_273720,plain,
aElementOf0('#skF_46'('#skF_40'),xI),
inference(negUnitSimplification,[status(thm)],[c_366,c_273719]) ).
tff(c_272933,plain,
! [W1_1563] :
( ~ aElementOf0(W1_1563,xI)
| ( '#skF_43'(W1_1563) != sz00 )
| ~ iLess0(sbrdtbr0(W1_1563),sbrdtbr0('#skF_40'))
| ( sz00 = W1_1563 ) ),
inference(cnfTransformation,[status(thm)],[f_593]) ).
tff(c_272937,plain,
( ~ aElementOf0('#skF_46'('#skF_40'),xI)
| ( '#skF_43'('#skF_46'('#skF_40')) != sz00 )
| ( '#skF_46'('#skF_40') = sz00 )
| ~ aElementOf0('#skF_40',xI)
| ( sz00 = '#skF_40' ) ),
inference(resolution,[status(thm)],[c_376,c_272933]) ).
tff(c_272940,plain,
( ~ aElementOf0('#skF_46'('#skF_40'),xI)
| ( '#skF_43'('#skF_46'('#skF_40')) != sz00 )
| ( '#skF_46'('#skF_40') = sz00 )
| ( sz00 = '#skF_40' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_368,c_272937]) ).
tff(c_272941,plain,
( ~ aElementOf0('#skF_46'('#skF_40'),xI)
| ( '#skF_43'('#skF_46'('#skF_40')) != sz00 ) ),
inference(negUnitSimplification,[status(thm)],[c_366,c_446,c_272940]) ).
tff(c_280610,plain,
'#skF_43'('#skF_46'('#skF_40')) != '#skF_41',
inference(demodulation,[status(thm),theory(equality)],[c_280363,c_273720,c_272941]) ).
tff(c_280874,plain,
'#skF_43'('#skF_46'('#skF_42')) != '#skF_41',
inference(demodulation,[status(thm),theory(equality)],[c_280811,c_280610]) ).
tff(c_284083,plain,
'#skF_43'('#skF_46'('#skF_42')) != '#skF_36',
inference(demodulation,[status(thm),theory(equality)],[c_283991,c_280874]) ).
tff(c_284890,plain,
'#skF_43'('#skF_46'('#skF_42')) != '#skF_32',
inference(demodulation,[status(thm),theory(equality)],[c_284765,c_284083]) ).
tff(c_280904,plain,
aElementOf0('#skF_46'('#skF_42'),xI),
inference(demodulation,[status(thm),theory(equality)],[c_280811,c_273720]) ).
tff(c_273020,plain,
! [W1_1565] :
( ~ aElementOf0(W1_1565,xI)
| aElementOf0('#skF_43'(W1_1565),xI)
| ~ iLess0(sbrdtbr0(W1_1565),sbrdtbr0('#skF_40'))
| ( sz00 = W1_1565 ) ),
inference(cnfTransformation,[status(thm)],[f_593]) ).
tff(c_273024,plain,
( ~ aElementOf0('#skF_46'('#skF_40'),xI)
| aElementOf0('#skF_43'('#skF_46'('#skF_40')),xI)
| ( '#skF_46'('#skF_40') = sz00 )
| ~ aElementOf0('#skF_40',xI)
| ( sz00 = '#skF_40' ) ),
inference(resolution,[status(thm)],[c_376,c_273020]) ).
tff(c_273027,plain,
( ~ aElementOf0('#skF_46'('#skF_40'),xI)
| aElementOf0('#skF_43'('#skF_46'('#skF_40')),xI)
| ( '#skF_46'('#skF_40') = sz00 )
| ( sz00 = '#skF_40' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_368,c_273024]) ).
tff(c_273028,plain,
( ~ aElementOf0('#skF_46'('#skF_40'),xI)
| aElementOf0('#skF_43'('#skF_46'('#skF_40')),xI) ),
inference(negUnitSimplification,[status(thm)],[c_366,c_446,c_273027]) ).
tff(c_282050,plain,
aElementOf0('#skF_43'('#skF_46'('#skF_42')),xI),
inference(demodulation,[status(thm),theory(equality)],[c_280811,c_280904,c_280811,c_273028]) ).
tff(c_280550,plain,
! [W1_352] :
( ~ aElementOf0(W1_352,xI)
| aElementOf0('#skF_46'(W1_352),xI)
| ( W1_352 = '#skF_41' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280363,c_384]) ).
tff(c_284048,plain,
! [W1_352] :
( ~ aElementOf0(W1_352,xI)
| aElementOf0('#skF_46'(W1_352),xI)
| ( W1_352 = '#skF_36' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_283991,c_280550]) ).
tff(c_310199,plain,
! [W1_352] :
( ~ aElementOf0(W1_352,xI)
| aElementOf0('#skF_46'(W1_352),xI)
| ( W1_352 = '#skF_32' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_284765,c_284048]) ).
tff(c_280557,plain,
'#skF_46'('#skF_40') != '#skF_41',
inference(demodulation,[status(thm),theory(equality)],[c_280363,c_446]) ).
tff(c_280873,plain,
'#skF_46'('#skF_42') != '#skF_41',
inference(demodulation,[status(thm),theory(equality)],[c_280811,c_280557]) ).
tff(c_284091,plain,
'#skF_46'('#skF_42') != '#skF_36',
inference(demodulation,[status(thm),theory(equality)],[c_283991,c_280873]) ).
tff(c_284906,plain,
'#skF_46'('#skF_42') != '#skF_32',
inference(demodulation,[status(thm),theory(equality)],[c_284765,c_284091]) ).
tff(c_284916,plain,
'#skF_41' = '#skF_32',
inference(demodulation,[status(thm),theory(equality)],[c_284765,c_283991]) ).
tff(c_280559,plain,
! [W1_352] :
( ~ aElementOf0(W1_352,xI)
| ( '#skF_46'(W1_352) != '#skF_41' )
| ( W1_352 = '#skF_41' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_280363,c_280363,c_380]) ).
tff(c_282053,plain,
( ( '#skF_46'('#skF_43'('#skF_46'('#skF_42'))) != '#skF_41' )
| ( '#skF_43'('#skF_46'('#skF_42')) = '#skF_41' ) ),
inference(resolution,[status(thm)],[c_282050,c_280559]) ).
tff(c_282059,plain,
'#skF_46'('#skF_43'('#skF_46'('#skF_42'))) != '#skF_41',
inference(negUnitSimplification,[status(thm)],[c_280874,c_282053]) ).
tff(c_293242,plain,
'#skF_46'('#skF_43'('#skF_46'('#skF_42'))) != '#skF_32',
inference(demodulation,[status(thm),theory(equality)],[c_284916,c_282059]) ).
tff(c_300,plain,
aSet0(xI),
inference(cnfTransformation,[status(thm)],[f_452]) ).
tff(c_273205,plain,
( aElement0('#skF_40')
| ~ aSet0(xI) ),
inference(resolution,[status(thm)],[c_368,c_273169]) ).
tff(c_273226,plain,
aElement0('#skF_40'),
inference(demodulation,[status(thm),theory(equality)],[c_300,c_273205]) ).
tff(c_273274,plain,
sdtpldt0(sz00,'#skF_40') = '#skF_40',
inference(resolution,[status(thm)],[c_273226,c_18]) ).
tff(c_272598,plain,
aElementOf0(sz00,slsdtgt0(sz00)),
inference(demodulation,[status(thm),theory(equality)],[c_272566,c_338]) ).
tff(c_378,plain,
! [W3_361,W2_360] :
( ~ aElementOf0(W3_361,slsdtgt0(xb))
| ~ aElementOf0(W2_360,slsdtgt0(xa))
| iLess0(sbrdtbr0('#skF_46'(sdtpldt0(W2_360,W3_361))),sbrdtbr0(sdtpldt0(W2_360,W3_361)))
| ( sdtpldt0(W2_360,W3_361) = sz00 ) ),
inference(cnfTransformation,[status(thm)],[f_593]) ).
tff(c_274572,plain,
! [W3_1592,W2_1593] :
( ~ aElementOf0(W3_1592,slsdtgt0(xb))
| ~ aElementOf0(W2_1593,slsdtgt0(sz00))
| iLess0(sbrdtbr0('#skF_46'(sdtpldt0(W2_1593,W3_1592))),sbrdtbr0(sdtpldt0(W2_1593,W3_1592)))
| ( sdtpldt0(W2_1593,W3_1592) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_272566,c_378]) ).
tff(c_274608,plain,
( ~ aElementOf0('#skF_40',slsdtgt0(xb))
| ~ aElementOf0(sz00,slsdtgt0(sz00))
| iLess0(sbrdtbr0('#skF_46'(sdtpldt0(sz00,'#skF_40'))),sbrdtbr0('#skF_40'))
| ( sdtpldt0(sz00,'#skF_40') = sz00 ) ),
inference(superposition,[status(thm),theory(equality)],[c_273274,c_274572]) ).
tff(c_274777,plain,
( ~ aElementOf0('#skF_40',slsdtgt0(xb))
| iLess0(sbrdtbr0('#skF_46'('#skF_40')),sbrdtbr0('#skF_40'))
| ( sz00 = '#skF_40' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_273274,c_273274,c_272598,c_274608]) ).
tff(c_274778,plain,
( ~ aElementOf0('#skF_40',slsdtgt0(xb))
| iLess0(sbrdtbr0('#skF_46'('#skF_40')),sbrdtbr0('#skF_40')) ),
inference(negUnitSimplification,[status(thm)],[c_366,c_274777]) ).
tff(c_284221,plain,
iLess0(sbrdtbr0('#skF_46'('#skF_42')),sbrdtbr0('#skF_42')),
inference(demodulation,[status(thm),theory(equality)],[c_280811,c_280811,c_372,c_280811,c_274778]) ).
tff(c_284914,plain,
sz00 = '#skF_32',
inference(demodulation,[status(thm),theory(equality)],[c_284765,c_284124]) ).
tff(c_274452,plain,
! [W1_1589,W3_1590] :
( ~ aElementOf0(W1_1589,xI)
| ~ aElementOf0(W3_1590,xI)
| ~ iLess0(sbrdtbr0(W3_1590),sbrdtbr0('#skF_43'(W1_1589)))
| ( sz00 = W3_1590 )
| ~ iLess0(sbrdtbr0(W1_1589),sbrdtbr0('#skF_40'))
| ( sz00 = W1_1589 ) ),
inference(cnfTransformation,[status(thm)],[f_593]) ).
tff(c_274457,plain,
! [W1_1589] :
( ~ aElementOf0(W1_1589,xI)
| ~ aElementOf0('#skF_46'('#skF_43'(W1_1589)),xI)
| ( '#skF_46'('#skF_43'(W1_1589)) = sz00 )
| ~ iLess0(sbrdtbr0(W1_1589),sbrdtbr0('#skF_40'))
| ( sz00 = W1_1589 )
| ~ aElementOf0('#skF_43'(W1_1589),xI)
| ( '#skF_43'(W1_1589) = sz00 ) ),
inference(resolution,[status(thm)],[c_376,c_274452]) ).
tff(c_294800,plain,
! [W1_1791] :
( ~ aElementOf0(W1_1791,xI)
| ~ aElementOf0('#skF_46'('#skF_43'(W1_1791)),xI)
| ( '#skF_46'('#skF_43'(W1_1791)) = '#skF_32' )
| ~ iLess0(sbrdtbr0(W1_1791),sbrdtbr0('#skF_42'))
| ( W1_1791 = '#skF_32' )
| ~ aElementOf0('#skF_43'(W1_1791),xI)
| ( '#skF_43'(W1_1791) = '#skF_32' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_284914,c_284914,c_280811,c_284914,c_274457]) ).
tff(c_294807,plain,
( ~ aElementOf0('#skF_46'('#skF_42'),xI)
| ~ aElementOf0('#skF_46'('#skF_43'('#skF_46'('#skF_42'))),xI)
| ( '#skF_46'('#skF_43'('#skF_46'('#skF_42'))) = '#skF_32' )
| ( '#skF_46'('#skF_42') = '#skF_32' )
| ~ aElementOf0('#skF_43'('#skF_46'('#skF_42')),xI)
| ( '#skF_43'('#skF_46'('#skF_42')) = '#skF_32' ) ),
inference(resolution,[status(thm)],[c_284221,c_294800]) ).
tff(c_294814,plain,
( ~ aElementOf0('#skF_46'('#skF_43'('#skF_46'('#skF_42'))),xI)
| ( '#skF_46'('#skF_43'('#skF_46'('#skF_42'))) = '#skF_32' )
| ( '#skF_46'('#skF_42') = '#skF_32' )
| ( '#skF_43'('#skF_46'('#skF_42')) = '#skF_32' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_282050,c_280904,c_294807]) ).
tff(c_294815,plain,
~ aElementOf0('#skF_46'('#skF_43'('#skF_46'('#skF_42'))),xI),
inference(negUnitSimplification,[status(thm)],[c_284890,c_284906,c_293242,c_294814]) ).
tff(c_327108,plain,
( ~ aElementOf0('#skF_43'('#skF_46'('#skF_42')),xI)
| ( '#skF_43'('#skF_46'('#skF_42')) = '#skF_32' ) ),
inference(resolution,[status(thm)],[c_310199,c_294815]) ).
tff(c_327111,plain,
'#skF_43'('#skF_46'('#skF_42')) = '#skF_32',
inference(demodulation,[status(thm),theory(equality)],[c_282050,c_327108]) ).
tff(c_327113,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_284890,c_327111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG111+4 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % 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
% 0.15/0.35 % Computer : n025.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 3 18:10:49 EDT 2023
% 0.15/0.35 % CPUTime :
% 239.91/196.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 239.91/196.61
% 239.91/196.61 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 240.14/196.67
% 240.14/196.67 Inference rules
% 240.14/196.67 ----------------------
% 240.14/196.67 #Ref : 0
% 240.14/196.67 #Sup : 74448
% 240.14/196.67 #Fact : 0
% 240.14/196.67 #Define : 0
% 240.14/196.67 #Split : 97
% 240.14/196.67 #Chain : 0
% 240.14/196.67 #Close : 0
% 240.14/196.67
% 240.14/196.67 Ordering : KBO
% 240.14/196.67
% 240.14/196.67 Simplification rules
% 240.14/196.67 ----------------------
% 240.14/196.67 #Subsume : 14185
% 240.14/196.67 #Demod : 188526
% 240.14/196.67 #Tautology : 15647
% 240.14/196.67 #SimpNegUnit : 4748
% 240.14/196.67 #BackRed : 1310
% 240.14/196.67
% 240.14/196.67 #Partial instantiations: 0
% 240.14/196.67 #Strategies tried : 1
% 240.14/196.67
% 240.14/196.67 Timing (in seconds)
% 240.14/196.67 ----------------------
% 240.14/196.67 Preprocessing : 0.81
% 240.14/196.67 Parsing : 0.38
% 240.14/196.67 CNF conversion : 0.08
% 240.14/196.67 Main loop : 194.69
% 240.14/196.67 Inferencing : 10.62
% 240.14/196.67 Reduction : 146.85
% 240.14/196.67 Demodulation : 138.89
% 240.14/196.67 BG Simplification : 0.59
% 240.14/196.67 Subsumption : 30.20
% 240.14/196.67 Abstraction : 0.97
% 240.14/196.67 MUC search : 0.00
% 240.14/196.67 Cooper : 0.00
% 240.14/196.67 Total : 195.61
% 240.14/196.67 Index Insertion : 0.00
% 240.14/196.67 Index Deletion : 0.00
% 240.14/196.67 Index Matching : 0.00
% 240.14/196.67 BG Taut test : 0.00
%------------------------------------------------------------------------------