TSTP Solution File: NUM554+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM554+1 : 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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n003.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 10:52:05 EDT 2023
% Result : Theorem 239.29s 210.89s
% Output : CNFRefutation 239.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 62
% Syntax : Number of formulae : 154 ( 44 unt; 41 typ; 4 def)
% Number of atoms : 300 ( 36 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 322 ( 135 ~; 136 |; 24 &)
% ( 7 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 56 ( 31 >; 25 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 33 ( 33 usr; 10 con; 0-3 aty)
% Number of variables : 90 (; 90 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > iLess0 > aSubsetOf0 > aElementOf0 > isFinite0 > isCountable0 > aSet0 > aElement0 > slbdtsldtrb0 > sdtpldt0 > sdtmndt0 > #nlpp > szszuzczcdt0 > szmzizndt0 > szmzazxdt0 > slbdtrb0 > sbrdtbr0 > xy > xx > xk > xT > xS > xQ > xP > szNzAzT0 > sz00 > slcrc0 > #skF_7 > #skF_11 > #skF_6 > #skF_1 > #skF_4 > #skF_12 > #skF_5 > #skF_10 > #skF_8 > #skF_15 > #skF_13 > #skF_14 > #skF_3 > #skF_2 > #skF_9
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(xk,type,
xk: $i ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff(sbrdtbr0,type,
sbrdtbr0: $i > $i ).
tff(aSet0,type,
aSet0: $i > $o ).
tff(szszuzczcdt0,type,
szszuzczcdt0: $i > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff(sdtmndt0,type,
sdtmndt0: ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(aElement0,type,
aElement0: $i > $o ).
tff(szNzAzT0,type,
szNzAzT0: $i ).
tff(sdtlseqdt0,type,
sdtlseqdt0: ( $i * $i ) > $o ).
tff(xS,type,
xS: $i ).
tff(sz00,type,
sz00: $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff(xP,type,
xP: $i ).
tff(xy,type,
xy: $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i ) > $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(slbdtsldtrb0,type,
slbdtsldtrb0: ( $i * $i ) > $i ).
tff(xx,type,
xx: $i ).
tff(aSubsetOf0,type,
aSubsetOf0: ( $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i ) > $i ).
tff(isCountable0,type,
isCountable0: $i > $o ).
tff('#skF_10',type,
'#skF_10': ( $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff(xT,type,
xT: $i ).
tff(aElementOf0,type,
aElementOf0: ( $i * $i ) > $o ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i * $i ) > $i ).
tff(slcrc0,type,
slcrc0: $i ).
tff(isFinite0,type,
isFinite0: $i > $o ).
tff(xQ,type,
xQ: $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(iLess0,type,
iLess0: ( $i * $i ) > $o ).
tff(szmzizndt0,type,
szmzizndt0: $i > $i ).
tff(szmzazxdt0,type,
szmzazxdt0: $i > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff(slbdtrb0,type,
slbdtrb0: $i > $i ).
tff(f_526,hypothesis,
( aSet0(xS)
& aSet0(xT)
& ( xk != sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202_02) ).
tff(f_520,hypothesis,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202) ).
tff(f_537,hypothesis,
( aSet0(xQ)
& isFinite0(xQ)
& ( sbrdtbr0(xQ) = xk ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2291) ).
tff(f_540,hypothesis,
( aElement0(xy)
& aElementOf0(xy,xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2304) ).
tff(f_156,definition,
! [W0,W1] :
( ( aSet0(W0)
& aElement0(W1) )
=> ! [W2] :
( ( W2 = sdtmndt0(W0,W1) )
<=> ( aSet0(W2)
& ! [W3] :
( aElementOf0(W3,W2)
<=> ( aElement0(W3)
& aElementOf0(W3,W0)
& ( W3 != W1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
tff(f_531,hypothesis,
aElementOf0(xx,xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2256) ).
tff(f_39,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
tff(f_545,hypothesis,
xP = sdtpldt0(sdtmndt0(xQ,xy),xx),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2357) ).
tff(f_137,definition,
! [W0,W1] :
( ( aSet0(W0)
& aElement0(W1) )
=> ! [W2] :
( ( W2 = sdtpldt0(W0,W1) )
<=> ( aSet0(W2)
& ! [W3] :
( aElementOf0(W3,W2)
<=> ( aElement0(W3)
& ( aElementOf0(W3,W0)
| ( W3 = W1 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefCons) ).
tff(f_208,axiom,
! [W0] :
( aElement0(W0)
=> ! [W1] :
( ( aSet0(W1)
& isFinite0(W1) )
=> isFinite0(sdtmndt0(W1,W0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFDiffSet) ).
tff(f_199,axiom,
! [W0] :
( aElement0(W0)
=> ! [W1] :
( ( aSet0(W1)
& isFinite0(W1) )
=> isFinite0(sdtpldt0(W1,W0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFConsSet) ).
tff(f_544,hypothesis,
~ aElementOf0(xx,xQ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2338) ).
tff(f_172,axiom,
! [W0,W1] :
( ( aElement0(W0)
& aSet0(W1) )
=> ( ~ aElementOf0(W0,W1)
=> ( sdtmndt0(sdtpldt0(W1,W0),W0) = W1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDiffCons) ).
tff(f_351,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( ( isFinite0(W0)
& aElementOf0(W1,W0) )
=> ( szszuzczcdt0(sbrdtbr0(sdtmndt0(W0,W1))) = sbrdtbr0(W0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardDiff) ).
tff(f_487,definition,
! [W0,W1] :
( ( aSet0(W0)
& aElementOf0(W1,szNzAzT0) )
=> ! [W2] :
( ( W2 = slbdtsldtrb0(W0,W1) )
<=> ( aSet0(W2)
& ! [W3] :
( aElementOf0(W3,W2)
<=> ( aSubsetOf0(W3,W0)
& ( sbrdtbr0(W3) = W1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSel) ).
tff(f_547,negated_conjecture,
~ aElementOf0(xP,slbdtsldtrb0(xS,xk)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
tff(f_84,definition,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
tff(f_97,axiom,
! [W0] :
( aSet0(W0)
=> aSubsetOf0(W0,W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).
tff(f_360,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( ( isFinite0(W0)
& aSubsetOf0(W1,W0) )
=> sdtlseqdt0(sbrdtbr0(W1),sbrdtbr0(W0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSub) ).
tff(f_532,hypothesis,
aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2270) ).
tff(f_119,axiom,
! [W0,W1,W2] :
( ( aSet0(W0)
& aSet0(W1)
& aSet0(W2) )
=> ( ( aSubsetOf0(W0,W1)
& aSubsetOf0(W1,W2) )
=> aSubsetOf0(W0,W2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubTrans) ).
tff(c_258,plain,
aSet0(xS),
inference(cnfTransformation,[status(thm)],[f_526]) ).
tff(c_252,plain,
aElementOf0(xk,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_520]) ).
tff(c_272,plain,
aSet0(xQ),
inference(cnfTransformation,[status(thm)],[f_537]) ).
tff(c_276,plain,
aElement0(xy),
inference(cnfTransformation,[status(thm)],[f_540]) ).
tff(c_923,plain,
! [W0_231,W1_232] :
( aSet0(sdtmndt0(W0_231,W1_232))
| ~ aElement0(W1_232)
| ~ aSet0(W0_231) ),
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_264,plain,
aElementOf0(xx,xS),
inference(cnfTransformation,[status(thm)],[f_531]) ).
tff(c_407,plain,
! [W1_184,W0_185] :
( aElement0(W1_184)
| ~ aElementOf0(W1_184,W0_185)
| ~ aSet0(W0_185) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_422,plain,
( aElement0(xx)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[c_264,c_407]) ).
tff(c_435,plain,
aElement0(xx),
inference(demodulation,[status(thm),theory(equality)],[c_258,c_422]) ).
tff(c_282,plain,
sdtpldt0(sdtmndt0(xQ,xy),xx) = xP,
inference(cnfTransformation,[status(thm)],[f_545]) ).
tff(c_878,plain,
! [W0_227,W1_228] :
( aSet0(sdtpldt0(W0_227,W1_228))
| ~ aElement0(W1_228)
| ~ aSet0(W0_227) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_884,plain,
( aSet0(xP)
| ~ aElement0(xx)
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(superposition,[status(thm),theory(equality)],[c_282,c_878]) ).
tff(c_887,plain,
( aSet0(xP)
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(demodulation,[status(thm),theory(equality)],[c_435,c_884]) ).
tff(c_888,plain,
~ aSet0(sdtmndt0(xQ,xy)),
inference(splitLeft,[status(thm)],[c_887]) ).
tff(c_926,plain,
( ~ aElement0(xy)
| ~ aSet0(xQ) ),
inference(resolution,[status(thm)],[c_923,c_888]) ).
tff(c_933,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_272,c_276,c_926]) ).
tff(c_934,plain,
aSet0(xP),
inference(splitRight,[status(thm)],[c_887]) ).
tff(c_270,plain,
isFinite0(xQ),
inference(cnfTransformation,[status(thm)],[f_537]) ).
tff(c_1312,plain,
! [W1_265,W0_266] :
( isFinite0(sdtmndt0(W1_265,W0_266))
| ~ isFinite0(W1_265)
| ~ aSet0(W1_265)
| ~ aElement0(W0_266) ),
inference(cnfTransformation,[status(thm)],[f_208]) ).
tff(c_935,plain,
aSet0(sdtmndt0(xQ,xy)),
inference(splitRight,[status(thm)],[c_887]) ).
tff(c_1258,plain,
! [W1_258,W0_259] :
( isFinite0(sdtpldt0(W1_258,W0_259))
| ~ isFinite0(W1_258)
| ~ aSet0(W1_258)
| ~ aElement0(W0_259) ),
inference(cnfTransformation,[status(thm)],[f_199]) ).
tff(c_1264,plain,
( isFinite0(xP)
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ aElement0(xx) ),
inference(superposition,[status(thm),theory(equality)],[c_282,c_1258]) ).
tff(c_1267,plain,
( isFinite0(xP)
| ~ isFinite0(sdtmndt0(xQ,xy)) ),
inference(demodulation,[status(thm),theory(equality)],[c_435,c_935,c_1264]) ).
tff(c_1268,plain,
~ isFinite0(sdtmndt0(xQ,xy)),
inference(splitLeft,[status(thm)],[c_1267]) ).
tff(c_1315,plain,
( ~ isFinite0(xQ)
| ~ aSet0(xQ)
| ~ aElement0(xy) ),
inference(resolution,[status(thm)],[c_1312,c_1268]) ).
tff(c_1322,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_276,c_272,c_270,c_1315]) ).
tff(c_1323,plain,
isFinite0(xP),
inference(splitRight,[status(thm)],[c_1267]) ).
tff(c_1179,plain,
! [W3_254,W0_255] :
( aElementOf0(W3_254,sdtpldt0(W0_255,W3_254))
| ~ aElement0(W3_254)
| ~ aSet0(W0_255) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_1185,plain,
( aElementOf0(xx,xP)
| ~ aElement0(xx)
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(superposition,[status(thm),theory(equality)],[c_282,c_1179]) ).
tff(c_1188,plain,
aElementOf0(xx,xP),
inference(demodulation,[status(thm),theory(equality)],[c_935,c_435,c_1185]) ).
tff(c_274,plain,
aElementOf0(xy,xQ),
inference(cnfTransformation,[status(thm)],[f_540]) ).
tff(c_268,plain,
sbrdtbr0(xQ) = xk,
inference(cnfTransformation,[status(thm)],[f_537]) ).
tff(c_280,plain,
~ aElementOf0(xx,xQ),
inference(cnfTransformation,[status(thm)],[f_544]) ).
tff(c_2220,plain,
! [W1_348,W0_349] :
( ( sdtmndt0(sdtpldt0(W1_348,W0_349),W0_349) = W1_348 )
| aElementOf0(W0_349,W1_348)
| ~ aSet0(W1_348)
| ~ aElement0(W0_349) ),
inference(cnfTransformation,[status(thm)],[f_172]) ).
tff(c_2253,plain,
( ( sdtmndt0(xQ,xy) = sdtmndt0(xP,xx) )
| aElementOf0(xx,sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ aElement0(xx) ),
inference(superposition,[status(thm),theory(equality)],[c_282,c_2220]) ).
tff(c_2259,plain,
( ( sdtmndt0(xQ,xy) = sdtmndt0(xP,xx) )
| aElementOf0(xx,sdtmndt0(xQ,xy)) ),
inference(demodulation,[status(thm),theory(equality)],[c_435,c_935,c_2253]) ).
tff(c_2260,plain,
aElementOf0(xx,sdtmndt0(xQ,xy)),
inference(splitLeft,[status(thm)],[c_2259]) ).
tff(c_74,plain,
! [W3_54,W0_44,W1_45] :
( aElementOf0(W3_54,W0_44)
| ~ aElementOf0(W3_54,sdtmndt0(W0_44,W1_45))
| ~ aElement0(W1_45)
| ~ aSet0(W0_44) ),
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_2263,plain,
( aElementOf0(xx,xQ)
| ~ aElement0(xy)
| ~ aSet0(xQ) ),
inference(resolution,[status(thm)],[c_2260,c_74]) ).
tff(c_2274,plain,
aElementOf0(xx,xQ),
inference(demodulation,[status(thm),theory(equality)],[c_272,c_276,c_2263]) ).
tff(c_2276,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_280,c_2274]) ).
tff(c_2277,plain,
sdtmndt0(xQ,xy) = sdtmndt0(xP,xx),
inference(splitRight,[status(thm)],[c_2259]) ).
tff(c_2964,plain,
! [W0_377,W1_378] :
( ( szszuzczcdt0(sbrdtbr0(sdtmndt0(W0_377,W1_378))) = sbrdtbr0(W0_377) )
| ~ aElementOf0(W1_378,W0_377)
| ~ isFinite0(W0_377)
| ~ aSet0(W0_377) ),
inference(cnfTransformation,[status(thm)],[f_351]) ).
tff(c_3022,plain,
( ( szszuzczcdt0(sbrdtbr0(sdtmndt0(xP,xx))) = sbrdtbr0(xQ) )
| ~ aElementOf0(xy,xQ)
| ~ isFinite0(xQ)
| ~ aSet0(xQ) ),
inference(superposition,[status(thm),theory(equality)],[c_2277,c_2964]) ).
tff(c_3029,plain,
szszuzczcdt0(sbrdtbr0(sdtmndt0(xP,xx))) = xk,
inference(demodulation,[status(thm),theory(equality)],[c_272,c_270,c_274,c_268,c_3022]) ).
tff(c_160,plain,
! [W0_102,W1_104] :
( ( szszuzczcdt0(sbrdtbr0(sdtmndt0(W0_102,W1_104))) = sbrdtbr0(W0_102) )
| ~ aElementOf0(W1_104,W0_102)
| ~ isFinite0(W0_102)
| ~ aSet0(W0_102) ),
inference(cnfTransformation,[status(thm)],[f_351]) ).
tff(c_3033,plain,
( ( sbrdtbr0(xP) = xk )
| ~ aElementOf0(xx,xP)
| ~ isFinite0(xP)
| ~ aSet0(xP) ),
inference(superposition,[status(thm),theory(equality)],[c_3029,c_160]) ).
tff(c_3089,plain,
sbrdtbr0(xP) = xk,
inference(demodulation,[status(thm),theory(equality)],[c_934,c_1323,c_1188,c_3033]) ).
tff(c_3444,plain,
! [W3_392,W0_393] :
( aElementOf0(W3_392,slbdtsldtrb0(W0_393,sbrdtbr0(W3_392)))
| ~ aSubsetOf0(W3_392,W0_393)
| ~ aElementOf0(sbrdtbr0(W3_392),szNzAzT0)
| ~ aSet0(W0_393) ),
inference(cnfTransformation,[status(thm)],[f_487]) ).
tff(c_3458,plain,
! [W0_393] :
( aElementOf0(xP,slbdtsldtrb0(W0_393,xk))
| ~ aSubsetOf0(xP,W0_393)
| ~ aElementOf0(sbrdtbr0(xP),szNzAzT0)
| ~ aSet0(W0_393) ),
inference(superposition,[status(thm),theory(equality)],[c_3089,c_3444]) ).
tff(c_5182,plain,
! [W0_439] :
( aElementOf0(xP,slbdtsldtrb0(W0_439,xk))
| ~ aSubsetOf0(xP,W0_439)
| ~ aSet0(W0_439) ),
inference(demodulation,[status(thm),theory(equality)],[c_252,c_3089,c_3458]) ).
tff(c_284,plain,
~ aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(cnfTransformation,[status(thm)],[f_547]) ).
tff(c_5196,plain,
( ~ aSubsetOf0(xP,xS)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[c_5182,c_284]) ).
tff(c_5207,plain,
~ aSubsetOf0(xP,xS),
inference(demodulation,[status(thm),theory(equality)],[c_258,c_5196]) ).
tff(c_30,plain,
! [W0_14,W1_20] :
( aElementOf0('#skF_2'(W0_14,W1_20),W1_20)
| aSubsetOf0(W1_20,W0_14)
| ~ aSet0(W1_20)
| ~ aSet0(W0_14) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_34,plain,
! [W0_27] :
( aSubsetOf0(W0_27,W0_27)
| ~ aSet0(W0_27) ),
inference(cnfTransformation,[status(thm)],[f_97]) ).
tff(c_1762,plain,
! [W1_311,W0_312] :
( sdtlseqdt0(sbrdtbr0(W1_311),sbrdtbr0(W0_312))
| ~ aSubsetOf0(W1_311,W0_312)
| ~ isFinite0(W0_312)
| ~ aSet0(W0_312) ),
inference(cnfTransformation,[status(thm)],[f_360]) ).
tff(c_1780,plain,
! [W1_311] :
( sdtlseqdt0(sbrdtbr0(W1_311),xk)
| ~ aSubsetOf0(W1_311,xQ)
| ~ isFinite0(xQ)
| ~ aSet0(xQ) ),
inference(superposition,[status(thm),theory(equality)],[c_268,c_1762]) ).
tff(c_1914,plain,
! [W1_319] :
( sdtlseqdt0(sbrdtbr0(W1_319),xk)
| ~ aSubsetOf0(W1_319,xQ) ),
inference(demodulation,[status(thm),theory(equality)],[c_272,c_270,c_1780]) ).
tff(c_1923,plain,
( sdtlseqdt0(xk,xk)
| ~ aSubsetOf0(xQ,xQ) ),
inference(superposition,[status(thm),theory(equality)],[c_268,c_1914]) ).
tff(c_1952,plain,
~ aSubsetOf0(xQ,xQ),
inference(splitLeft,[status(thm)],[c_1923]) ).
tff(c_1956,plain,
~ aSet0(xQ),
inference(resolution,[status(thm)],[c_34,c_1952]) ).
tff(c_1960,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_272,c_1956]) ).
tff(c_1962,plain,
aSubsetOf0(xQ,xQ),
inference(splitRight,[status(thm)],[c_1923]) ).
tff(c_266,plain,
aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
inference(cnfTransformation,[status(thm)],[f_532]) ).
tff(c_2345,plain,
! [W3_352,W0_353,W1_354] :
( aSubsetOf0(W3_352,W0_353)
| ~ aElementOf0(W3_352,slbdtsldtrb0(W0_353,W1_354))
| ~ aElementOf0(W1_354,szNzAzT0)
| ~ aSet0(W0_353) ),
inference(cnfTransformation,[status(thm)],[f_487]) ).
tff(c_2367,plain,
( aSubsetOf0(xQ,xS)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[c_266,c_2345]) ).
tff(c_2377,plain,
aSubsetOf0(xQ,xS),
inference(demodulation,[status(thm),theory(equality)],[c_258,c_252,c_2367]) ).
tff(c_3527,plain,
! [W0_396,W2_397,W1_398] :
( aSubsetOf0(W0_396,W2_397)
| ~ aSubsetOf0(W1_398,W2_397)
| ~ aSubsetOf0(W0_396,W1_398)
| ~ aSet0(W2_397)
| ~ aSet0(W1_398)
| ~ aSet0(W0_396) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_3537,plain,
! [W0_396] :
( aSubsetOf0(W0_396,xS)
| ~ aSubsetOf0(W0_396,xQ)
| ~ aSet0(xS)
| ~ aSet0(xQ)
| ~ aSet0(W0_396) ),
inference(resolution,[status(thm)],[c_2377,c_3527]) ).
tff(c_3566,plain,
! [W0_396] :
( aSubsetOf0(W0_396,xS)
| ~ aSubsetOf0(W0_396,xQ)
| ~ aSet0(W0_396) ),
inference(demodulation,[status(thm),theory(equality)],[c_272,c_258,c_3537]) ).
tff(c_2294,plain,
aSet0(sdtmndt0(xP,xx)),
inference(demodulation,[status(thm),theory(equality)],[c_2277,c_935]) ).
tff(c_2295,plain,
sdtpldt0(sdtmndt0(xP,xx),xx) = xP,
inference(demodulation,[status(thm),theory(equality)],[c_2277,c_282]) ).
tff(c_2890,plain,
! [W3_373,W1_374,W0_375] :
( ( W3_373 = W1_374 )
| aElementOf0(W3_373,W0_375)
| ~ aElementOf0(W3_373,sdtpldt0(W0_375,W1_374))
| ~ aElement0(W1_374)
| ~ aSet0(W0_375) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_2899,plain,
! [W3_373] :
( ( xx = W3_373 )
| aElementOf0(W3_373,sdtmndt0(xP,xx))
| ~ aElementOf0(W3_373,xP)
| ~ aElement0(xx)
| ~ aSet0(sdtmndt0(xP,xx)) ),
inference(superposition,[status(thm),theory(equality)],[c_2295,c_2890]) ).
tff(c_3383,plain,
! [W3_391] :
( ( xx = W3_391 )
| aElementOf0(W3_391,sdtmndt0(xP,xx))
| ~ aElementOf0(W3_391,xP) ),
inference(demodulation,[status(thm),theory(equality)],[c_2294,c_435,c_2899]) ).
tff(c_2299,plain,
! [W3_54] :
( aElementOf0(W3_54,xQ)
| ~ aElementOf0(W3_54,sdtmndt0(xP,xx))
| ~ aElement0(xy)
| ~ aSet0(xQ) ),
inference(superposition,[status(thm),theory(equality)],[c_2277,c_74]) ).
tff(c_2321,plain,
! [W3_54] :
( aElementOf0(W3_54,xQ)
| ~ aElementOf0(W3_54,sdtmndt0(xP,xx)) ),
inference(demodulation,[status(thm),theory(equality)],[c_272,c_276,c_2299]) ).
tff(c_3479,plain,
! [W3_394] :
( aElementOf0(W3_394,xQ)
| ( xx = W3_394 )
| ~ aElementOf0(W3_394,xP) ),
inference(resolution,[status(thm)],[c_3383,c_2321]) ).
tff(c_24,plain,
! [W2_23,W0_14,W1_20] :
( aElementOf0(W2_23,W0_14)
| ~ aElementOf0(W2_23,W1_20)
| ~ aSubsetOf0(W1_20,W0_14)
| ~ aSet0(W0_14) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_38952,plain,
! [W3_981,W0_982] :
( aElementOf0(W3_981,W0_982)
| ~ aSubsetOf0(xQ,W0_982)
| ~ aSet0(W0_982)
| ( xx = W3_981 )
| ~ aElementOf0(W3_981,xP) ),
inference(resolution,[status(thm)],[c_3479,c_24]) ).
tff(c_38970,plain,
! [W3_981] :
( aElementOf0(W3_981,xS)
| ~ aSet0(xS)
| ( xx = W3_981 )
| ~ aElementOf0(W3_981,xP)
| ~ aSubsetOf0(xQ,xQ)
| ~ aSet0(xQ) ),
inference(resolution,[status(thm)],[c_3566,c_38952]) ).
tff(c_39110,plain,
! [W3_984] :
( aElementOf0(W3_984,xS)
| ( xx = W3_984 )
| ~ aElementOf0(W3_984,xP) ),
inference(demodulation,[status(thm),theory(equality)],[c_272,c_1962,c_258,c_38970]) ).
tff(c_28,plain,
! [W0_14,W1_20] :
( ~ aElementOf0('#skF_2'(W0_14,W1_20),W0_14)
| aSubsetOf0(W1_20,W0_14)
| ~ aSet0(W1_20)
| ~ aSet0(W0_14) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_39157,plain,
! [W1_20] :
( aSubsetOf0(W1_20,xS)
| ~ aSet0(W1_20)
| ~ aSet0(xS)
| ( '#skF_2'(xS,W1_20) = xx )
| ~ aElementOf0('#skF_2'(xS,W1_20),xP) ),
inference(resolution,[status(thm)],[c_39110,c_28]) ).
tff(c_422224,plain,
! [W1_3076] :
( aSubsetOf0(W1_3076,xS)
| ~ aSet0(W1_3076)
| ( '#skF_2'(xS,W1_3076) = xx )
| ~ aElementOf0('#skF_2'(xS,W1_3076),xP) ),
inference(demodulation,[status(thm),theory(equality)],[c_258,c_39157]) ).
tff(c_422251,plain,
( ( '#skF_2'(xS,xP) = xx )
| aSubsetOf0(xP,xS)
| ~ aSet0(xP)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[c_30,c_422224]) ).
tff(c_422272,plain,
( ( '#skF_2'(xS,xP) = xx )
| aSubsetOf0(xP,xS) ),
inference(demodulation,[status(thm),theory(equality)],[c_258,c_934,c_422251]) ).
tff(c_422273,plain,
'#skF_2'(xS,xP) = xx,
inference(negUnitSimplification,[status(thm)],[c_5207,c_422272]) ).
tff(c_422298,plain,
( ~ aElementOf0(xx,xS)
| aSubsetOf0(xP,xS)
| ~ aSet0(xP)
| ~ aSet0(xS) ),
inference(superposition,[status(thm),theory(equality)],[c_422273,c_28]) ).
tff(c_422326,plain,
aSubsetOf0(xP,xS),
inference(demodulation,[status(thm),theory(equality)],[c_258,c_934,c_264,c_422298]) ).
tff(c_422328,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5207,c_422326]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.13 % Problem : NUM554+1 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 14:48:08 EDT 2023
% 0.14/0.36 % CPUTime :
% 239.29/210.89 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 239.30/210.90
% 239.30/210.90 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 239.40/210.94
% 239.40/210.94 Inference rules
% 239.40/210.94 ----------------------
% 239.40/210.94 #Ref : 2
% 239.40/210.94 #Sup : 75668
% 239.40/210.94 #Fact : 14
% 239.40/210.94 #Define : 0
% 239.40/210.94 #Split : 576
% 239.40/210.95 #Chain : 0
% 239.40/210.95 #Close : 0
% 239.40/210.95
% 239.40/210.95 Ordering : KBO
% 239.40/210.95
% 239.40/210.95 Simplification rules
% 239.40/210.95 ----------------------
% 239.40/210.95 #Subsume : 27297
% 239.40/210.95 #Demod : 145697
% 239.40/210.95 #Tautology : 14675
% 239.40/210.95 #SimpNegUnit : 11691
% 239.40/210.95 #BackRed : 1504
% 239.40/210.95
% 239.40/210.95 #Partial instantiations: 0
% 239.40/210.95 #Strategies tried : 1
% 239.40/210.95
% 239.40/210.95 Timing (in seconds)
% 239.40/210.95 ----------------------
% 239.40/210.95 Preprocessing : 0.75
% 239.40/210.95 Parsing : 0.38
% 239.40/210.95 CNF conversion : 0.07
% 239.40/210.95 Main loop : 208.99
% 239.40/210.95 Inferencing : 18.33
% 239.40/210.95 Reduction : 133.96
% 239.40/210.95 Demodulation : 111.83
% 239.40/210.95 BG Simplification : 0.57
% 239.40/210.95 Subsumption : 46.96
% 239.40/210.95 Abstraction : 1.28
% 239.40/210.95 MUC search : 0.00
% 239.40/210.95 Cooper : 0.00
% 239.40/210.95 Total : 209.81
% 239.40/210.95 Index Insertion : 0.00
% 239.40/210.95 Index Deletion : 0.00
% 239.40/210.95 Index Matching : 0.00
% 239.40/210.95 BG Taut test : 0.00
%------------------------------------------------------------------------------