TSTP Solution File: RNG106+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : RNG106+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/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 : n024.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 10:54:58 EDT 2023
% Result : Theorem 17.00s 5.49s
% Output : CNFRefutation 17.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 54
% Syntax : Number of formulae : 128 ( 35 unt; 46 typ; 2 def)
% Number of atoms : 201 ( 19 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 209 ( 90 ~; 93 |; 15 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 94 ( 43 >; 51 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 35 ( 35 usr; 3 con; 0-4 aty)
% Number of variables : 55 (; 52 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdteqdtlpzmzozddtrp0 > aGcdOfAnd0 > misRelativelyPrime0 > iLess0 > doDivides0 > aElementOf0 > aDivisorOf0 > aSet0 > aNaturalNumber0 > aIdeal0 > aElement0 > sdtpldt1 > sdtpldt0 > sdtasdt0 > sdtasasdt0 > #nlpp > smndt0 > slsdtgt0 > sbrdtbr0 > xc > sz10 > sz00 > #skF_24 > #skF_22 > #skF_6 > #skF_17 > #skF_20 > #skF_4 > #skF_8 > #skF_14 > #skF_15 > #skF_18 > #skF_23 > #skF_5 > #skF_19 > #skF_7 > #skF_9 > #skF_13 > #skF_11 > #skF_3 > #skF_2 > #skF_12 > #skF_25 > #skF_1 > #skF_16 > #skF_21 > #skF_10
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_24',type,
'#skF_24': ( $i * $i * $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_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff(sz10,type,
sz10: $i ).
tff(sdtpldt1,type,
sdtpldt1: ( $i * $i ) > $i ).
tff('#skF_17',type,
'#skF_17': ( $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i ) > $i ).
tff(aElement0,type,
aElement0: $i > $o ).
tff(sz00,type,
sz00: $i ).
tff(misRelativelyPrime0,type,
misRelativelyPrime0: ( $i * $i ) > $o ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff(aIdeal0,type,
aIdeal0: $i > $o ).
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(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(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_7',type,
'#skF_7': ( $i * $i * $i * $i ) > $i ).
tff(doDivides0,type,
doDivides0: ( $i * $i ) > $o ).
tff(aGcdOfAnd0,type,
aGcdOfAnd0: ( $i * $i * $i ) > $o ).
tff(aElementOf0,type,
aElementOf0: ( $i * $i ) > $o ).
tff('#skF_9',type,
'#skF_9': ( $i * $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': $i > $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(sdtasasdt0,type,
sdtasasdt0: ( $i * $i ) > $i ).
tff(iLess0,type,
iLess0: ( $i * $i ) > $o ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff('#skF_25',type,
'#skF_25': ( $i * $i * $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_10',type,
'#skF_10': ( $i * $i * $i ) > $i ).
tff(f_373,negated_conjecture,
~ ( ! [W0,W1,W2] :
( ( aElementOf0(W0,slsdtgt0(xc))
& aElementOf0(W1,slsdtgt0(xc))
& aElement0(W2) )
=> ? [W3] :
( aElement0(W3)
& ( sdtasdt0(xc,W3) = W0 )
& ? [W4] :
( aElement0(W4)
& ( sdtasdt0(xc,W4) = W1 )
& ( sdtpldt0(W0,W1) = sdtasdt0(xc,sdtpldt0(W3,W4)) )
& ( sdtasdt0(W2,W0) = sdtasdt0(xc,sdtasdt0(W3,W2)) )
& aElementOf0(sdtpldt0(W0,W1),slsdtgt0(xc))
& aElementOf0(sdtasdt0(W2,W0),slsdtgt0(xc)) ) ) )
=> aIdeal0(slsdtgt0(xc)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(f_346,hypothesis,
aElement0(xc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1905) ).
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_205,definition,
! [W0] :
( aIdeal0(W0)
<=> ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> ( ! [W2] :
( aElementOf0(W2,W0)
=> aElementOf0(sdtpldt0(W1,W2),W0) )
& ! [W2] :
( aElement0(W2)
=> aElementOf0(sdtasdt0(W2,W1),W0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefIdeal) ).
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_30,axiom,
aElement0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
tff(f_115,axiom,
! [W0] :
( aElement0(W0)
=> ( ( sdtasdt0(W0,sz00) = sz00 )
& ( sz00 = sdtasdt0(sz00,W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulZero) ).
tff(c_208,plain,
~ aIdeal0(slsdtgt0(xc)),
inference(cnfTransformation,[status(thm)],[f_373]) ).
tff(c_206,plain,
aElement0(xc),
inference(cnfTransformation,[status(thm)],[f_346]) ).
tff(c_188,plain,
! [W0_181] :
( aSet0(slsdtgt0(W0_181))
| ~ aElement0(W0_181) ),
inference(cnfTransformation,[status(thm)],[f_345]) ).
tff(c_114,plain,
! [W0_117] :
( aElementOf0('#skF_11'(W0_117),W0_117)
| aIdeal0(W0_117)
| ~ aSet0(W0_117) ),
inference(cnfTransformation,[status(thm)],[f_205]) ).
tff(c_6,plain,
aElement0(sz10),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_258,plain,
! [W0_235] :
( ( sdtasdt0(W0_235,sz10) = W0_235 )
| ~ aElement0(W0_235) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_274,plain,
sdtasdt0(xc,sz10) = xc,
inference(resolution,[status(thm)],[c_206,c_258]) ).
tff(c_1237,plain,
! [W0_303,W3_304] :
( aElementOf0(sdtasdt0(W0_303,W3_304),slsdtgt0(W0_303))
| ~ aElement0(W3_304)
| ~ aElement0(W0_303) ),
inference(cnfTransformation,[status(thm)],[f_345]) ).
tff(c_1312,plain,
( aElementOf0(xc,slsdtgt0(xc))
| ~ aElement0(sz10)
| ~ aElement0(xc) ),
inference(superposition,[status(thm),theory(equality)],[c_274,c_1237]) ).
tff(c_1367,plain,
aElementOf0(xc,slsdtgt0(xc)),
inference(demodulation,[status(thm),theory(equality)],[c_206,c_6,c_1312]) ).
tff(c_224,plain,
! [W0_221,W1_222,W2_223] :
( aElement0('#skF_24'(W0_221,W1_222,W2_223))
| ~ aElement0(W2_223)
| ~ aElementOf0(W1_222,slsdtgt0(xc))
| ~ aElementOf0(W0_221,slsdtgt0(xc)) ),
inference(cnfTransformation,[status(thm)],[f_373]) ).
tff(c_1948,plain,
! [W0_324,W2_325] :
( aElement0('#skF_24'(W0_324,xc,W2_325))
| ~ aElement0(W2_325)
| ~ aElementOf0(W0_324,slsdtgt0(xc)) ),
inference(resolution,[status(thm)],[c_1367,c_224]) ).
tff(c_1961,plain,
! [W2_325] :
( aElement0('#skF_24'('#skF_11'(slsdtgt0(xc)),xc,W2_325))
| ~ aElement0(W2_325)
| aIdeal0(slsdtgt0(xc))
| ~ aSet0(slsdtgt0(xc)) ),
inference(resolution,[status(thm)],[c_114,c_1948]) ).
tff(c_1972,plain,
! [W2_325] :
( aElement0('#skF_24'('#skF_11'(slsdtgt0(xc)),xc,W2_325))
| ~ aElement0(W2_325)
| ~ aSet0(slsdtgt0(xc)) ),
inference(negUnitSimplification,[status(thm)],[c_208,c_1961]) ).
tff(c_3500,plain,
~ aSet0(slsdtgt0(xc)),
inference(splitLeft,[status(thm)],[c_1972]) ).
tff(c_3503,plain,
~ aElement0(xc),
inference(resolution,[status(thm)],[c_188,c_3500]) ).
tff(c_3510,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_206,c_3503]) ).
tff(c_3512,plain,
aSet0(slsdtgt0(xc)),
inference(splitRight,[status(thm)],[c_1972]) ).
tff(c_122,plain,
! [W0_117] :
( aElementOf0('#skF_12'(W0_117),W0_117)
| aElement0('#skF_13'(W0_117))
| aIdeal0(W0_117)
| ~ aSet0(W0_117) ),
inference(cnfTransformation,[status(thm)],[f_205]) ).
tff(c_4,plain,
aElement0(sz00),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_279,plain,
! [W0_236] :
( ( sdtasdt0(W0_236,sz00) = sz00 )
| ~ aElement0(W0_236) ),
inference(cnfTransformation,[status(thm)],[f_115]) ).
tff(c_295,plain,
sdtasdt0(xc,sz00) = sz00,
inference(resolution,[status(thm)],[c_206,c_279]) ).
tff(c_1303,plain,
( aElementOf0(sz00,slsdtgt0(xc))
| ~ aElement0(sz00)
| ~ aElement0(xc) ),
inference(superposition,[status(thm),theory(equality)],[c_295,c_1237]) ).
tff(c_1361,plain,
aElementOf0(sz00,slsdtgt0(xc)),
inference(demodulation,[status(thm),theory(equality)],[c_206,c_4,c_1303]) ).
tff(c_218,plain,
! [W0_221,W1_222,W2_223] :
( ( sdtasdt0(xc,'#skF_25'(W0_221,W1_222,W2_223)) = W1_222 )
| ~ aElement0(W2_223)
| ~ aElementOf0(W1_222,slsdtgt0(xc))
| ~ aElementOf0(W0_221,slsdtgt0(xc)) ),
inference(cnfTransformation,[status(thm)],[f_373]) ).
tff(c_6750,plain,
! [W0_414,W2_415] :
( ( sdtasdt0(xc,'#skF_25'(W0_414,sz00,W2_415)) = sz00 )
| ~ aElement0(W2_415)
| ~ aElementOf0(W0_414,slsdtgt0(xc)) ),
inference(resolution,[status(thm)],[c_1361,c_218]) ).
tff(c_6766,plain,
! [W2_415] :
( ( sdtasdt0(xc,'#skF_25'('#skF_12'(slsdtgt0(xc)),sz00,W2_415)) = sz00 )
| ~ aElement0(W2_415)
| aElement0('#skF_13'(slsdtgt0(xc)))
| aIdeal0(slsdtgt0(xc))
| ~ aSet0(slsdtgt0(xc)) ),
inference(resolution,[status(thm)],[c_122,c_6750]) ).
tff(c_6784,plain,
! [W2_415] :
( ( sdtasdt0(xc,'#skF_25'('#skF_12'(slsdtgt0(xc)),sz00,W2_415)) = sz00 )
| ~ aElement0(W2_415)
| aElement0('#skF_13'(slsdtgt0(xc)))
| aIdeal0(slsdtgt0(xc)) ),
inference(demodulation,[status(thm),theory(equality)],[c_3512,c_6766]) ).
tff(c_6785,plain,
! [W2_415] :
( ( sdtasdt0(xc,'#skF_25'('#skF_12'(slsdtgt0(xc)),sz00,W2_415)) = sz00 )
| ~ aElement0(W2_415)
| aElement0('#skF_13'(slsdtgt0(xc))) ),
inference(negUnitSimplification,[status(thm)],[c_208,c_6784]) ).
tff(c_7981,plain,
aElement0('#skF_13'(slsdtgt0(xc))),
inference(splitLeft,[status(thm)],[c_6785]) ).
tff(c_515,plain,
! [W0_257] :
( aElementOf0('#skF_11'(W0_257),W0_257)
| aIdeal0(W0_257)
| ~ aSet0(W0_257) ),
inference(cnfTransformation,[status(thm)],[f_205]) ).
tff(c_210,plain,
! [W2_223,W0_221,W1_222] :
( aElementOf0(sdtasdt0(W2_223,W0_221),slsdtgt0(xc))
| ~ aElement0(W2_223)
| ~ aElementOf0(W1_222,slsdtgt0(xc))
| ~ aElementOf0(W0_221,slsdtgt0(xc)) ),
inference(cnfTransformation,[status(thm)],[f_373]) ).
tff(c_512,plain,
! [W1_222] : ~ aElementOf0(W1_222,slsdtgt0(xc)),
inference(splitLeft,[status(thm)],[c_210]) ).
tff(c_519,plain,
( aIdeal0(slsdtgt0(xc))
| ~ aSet0(slsdtgt0(xc)) ),
inference(resolution,[status(thm)],[c_515,c_512]) ).
tff(c_525,plain,
~ aSet0(slsdtgt0(xc)),
inference(negUnitSimplification,[status(thm)],[c_208,c_519]) ).
tff(c_529,plain,
~ aElement0(xc),
inference(resolution,[status(thm)],[c_188,c_525]) ).
tff(c_536,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_206,c_529]) ).
tff(c_537,plain,
! [W2_223,W0_221] :
( aElementOf0(sdtasdt0(W2_223,W0_221),slsdtgt0(xc))
| ~ aElement0(W2_223)
| ~ aElementOf0(W0_221,slsdtgt0(xc)) ),
inference(splitRight,[status(thm)],[c_210]) ).
tff(c_7944,plain,
! [W0_433] :
( aElementOf0('#skF_12'(W0_433),W0_433)
| ~ aElementOf0(sdtasdt0('#skF_13'(W0_433),'#skF_11'(W0_433)),W0_433)
| aIdeal0(W0_433)
| ~ aSet0(W0_433) ),
inference(cnfTransformation,[status(thm)],[f_205]) ).
tff(c_7956,plain,
( aElementOf0('#skF_12'(slsdtgt0(xc)),slsdtgt0(xc))
| aIdeal0(slsdtgt0(xc))
| ~ aSet0(slsdtgt0(xc))
| ~ aElement0('#skF_13'(slsdtgt0(xc)))
| ~ aElementOf0('#skF_11'(slsdtgt0(xc)),slsdtgt0(xc)) ),
inference(resolution,[status(thm)],[c_537,c_7944]) ).
tff(c_7961,plain,
( aElementOf0('#skF_12'(slsdtgt0(xc)),slsdtgt0(xc))
| aIdeal0(slsdtgt0(xc))
| ~ aElement0('#skF_13'(slsdtgt0(xc)))
| ~ aElementOf0('#skF_11'(slsdtgt0(xc)),slsdtgt0(xc)) ),
inference(demodulation,[status(thm),theory(equality)],[c_3512,c_7956]) ).
tff(c_7962,plain,
( aElementOf0('#skF_12'(slsdtgt0(xc)),slsdtgt0(xc))
| ~ aElement0('#skF_13'(slsdtgt0(xc)))
| ~ aElementOf0('#skF_11'(slsdtgt0(xc)),slsdtgt0(xc)) ),
inference(negUnitSimplification,[status(thm)],[c_208,c_7961]) ).
tff(c_13243,plain,
( aElementOf0('#skF_12'(slsdtgt0(xc)),slsdtgt0(xc))
| ~ aElementOf0('#skF_11'(slsdtgt0(xc)),slsdtgt0(xc)) ),
inference(demodulation,[status(thm),theory(equality)],[c_7981,c_7962]) ).
tff(c_13244,plain,
~ aElementOf0('#skF_11'(slsdtgt0(xc)),slsdtgt0(xc)),
inference(splitLeft,[status(thm)],[c_13243]) ).
tff(c_13247,plain,
( aIdeal0(slsdtgt0(xc))
| ~ aSet0(slsdtgt0(xc)) ),
inference(resolution,[status(thm)],[c_114,c_13244]) ).
tff(c_13250,plain,
aIdeal0(slsdtgt0(xc)),
inference(demodulation,[status(thm),theory(equality)],[c_3512,c_13247]) ).
tff(c_13252,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_208,c_13250]) ).
tff(c_13254,plain,
aElementOf0('#skF_11'(slsdtgt0(xc)),slsdtgt0(xc)),
inference(splitRight,[status(thm)],[c_13243]) ).
tff(c_13253,plain,
aElementOf0('#skF_12'(slsdtgt0(xc)),slsdtgt0(xc)),
inference(splitRight,[status(thm)],[c_13243]) ).
tff(c_212,plain,
! [W0_221,W1_222,W2_223] :
( aElementOf0(sdtpldt0(W0_221,W1_222),slsdtgt0(xc))
| ~ aElement0(W2_223)
| ~ aElementOf0(W1_222,slsdtgt0(xc))
| ~ aElementOf0(W0_221,slsdtgt0(xc)) ),
inference(cnfTransformation,[status(thm)],[f_373]) ).
tff(c_389,plain,
! [W2_223] : ~ aElement0(W2_223),
inference(splitLeft,[status(thm)],[c_212]) ).
tff(c_396,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_389,c_4]) ).
tff(c_397,plain,
! [W0_221,W1_222] :
( aElementOf0(sdtpldt0(W0_221,W1_222),slsdtgt0(xc))
| ~ aElementOf0(W1_222,slsdtgt0(xc))
| ~ aElementOf0(W0_221,slsdtgt0(xc)) ),
inference(splitRight,[status(thm)],[c_212]) ).
tff(c_18576,plain,
! [W0_558] :
( ~ aElementOf0(sdtpldt0('#skF_11'(W0_558),'#skF_12'(W0_558)),W0_558)
| ~ aElementOf0(sdtasdt0('#skF_13'(W0_558),'#skF_11'(W0_558)),W0_558)
| aIdeal0(W0_558)
| ~ aSet0(W0_558) ),
inference(cnfTransformation,[status(thm)],[f_205]) ).
tff(c_18588,plain,
( ~ aElementOf0(sdtasdt0('#skF_13'(slsdtgt0(xc)),'#skF_11'(slsdtgt0(xc))),slsdtgt0(xc))
| aIdeal0(slsdtgt0(xc))
| ~ aSet0(slsdtgt0(xc))
| ~ aElementOf0('#skF_12'(slsdtgt0(xc)),slsdtgt0(xc))
| ~ aElementOf0('#skF_11'(slsdtgt0(xc)),slsdtgt0(xc)) ),
inference(resolution,[status(thm)],[c_397,c_18576]) ).
tff(c_18597,plain,
( ~ aElementOf0(sdtasdt0('#skF_13'(slsdtgt0(xc)),'#skF_11'(slsdtgt0(xc))),slsdtgt0(xc))
| aIdeal0(slsdtgt0(xc)) ),
inference(demodulation,[status(thm),theory(equality)],[c_13254,c_13253,c_3512,c_18588]) ).
tff(c_18598,plain,
~ aElementOf0(sdtasdt0('#skF_13'(slsdtgt0(xc)),'#skF_11'(slsdtgt0(xc))),slsdtgt0(xc)),
inference(negUnitSimplification,[status(thm)],[c_208,c_18597]) ).
tff(c_18770,plain,
( ~ aElement0('#skF_13'(slsdtgt0(xc)))
| ~ aElementOf0('#skF_11'(slsdtgt0(xc)),slsdtgt0(xc)) ),
inference(resolution,[status(thm)],[c_537,c_18598]) ).
tff(c_18777,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_13254,c_7981,c_18770]) ).
tff(c_18779,plain,
~ aElement0('#skF_13'(slsdtgt0(xc))),
inference(splitRight,[status(thm)],[c_6785]) ).
tff(c_7554,plain,
! [W0_425,W1_426] :
( aElementOf0(sdtpldt0(W0_425,W1_426),slsdtgt0(xc))
| ~ aElementOf0(W1_426,slsdtgt0(xc))
| ~ aElementOf0(W0_425,slsdtgt0(xc)) ),
inference(splitRight,[status(thm)],[c_212]) ).
tff(c_120,plain,
! [W0_117] :
( ~ aElementOf0(sdtpldt0('#skF_11'(W0_117),'#skF_12'(W0_117)),W0_117)
| aElement0('#skF_13'(W0_117))
| aIdeal0(W0_117)
| ~ aSet0(W0_117) ),
inference(cnfTransformation,[status(thm)],[f_205]) ).
tff(c_7560,plain,
( aElement0('#skF_13'(slsdtgt0(xc)))
| aIdeal0(slsdtgt0(xc))
| ~ aSet0(slsdtgt0(xc))
| ~ aElementOf0('#skF_12'(slsdtgt0(xc)),slsdtgt0(xc))
| ~ aElementOf0('#skF_11'(slsdtgt0(xc)),slsdtgt0(xc)) ),
inference(resolution,[status(thm)],[c_7554,c_120]) ).
tff(c_7664,plain,
( aElement0('#skF_13'(slsdtgt0(xc)))
| aIdeal0(slsdtgt0(xc))
| ~ aElementOf0('#skF_12'(slsdtgt0(xc)),slsdtgt0(xc))
| ~ aElementOf0('#skF_11'(slsdtgt0(xc)),slsdtgt0(xc)) ),
inference(demodulation,[status(thm),theory(equality)],[c_3512,c_7560]) ).
tff(c_7665,plain,
( aElement0('#skF_13'(slsdtgt0(xc)))
| ~ aElementOf0('#skF_12'(slsdtgt0(xc)),slsdtgt0(xc))
| ~ aElementOf0('#skF_11'(slsdtgt0(xc)),slsdtgt0(xc)) ),
inference(negUnitSimplification,[status(thm)],[c_208,c_7664]) ).
tff(c_21050,plain,
( ~ aElementOf0('#skF_12'(slsdtgt0(xc)),slsdtgt0(xc))
| ~ aElementOf0('#skF_11'(slsdtgt0(xc)),slsdtgt0(xc)) ),
inference(negUnitSimplification,[status(thm)],[c_18779,c_7665]) ).
tff(c_21051,plain,
~ aElementOf0('#skF_11'(slsdtgt0(xc)),slsdtgt0(xc)),
inference(splitLeft,[status(thm)],[c_21050]) ).
tff(c_21054,plain,
( aIdeal0(slsdtgt0(xc))
| ~ aSet0(slsdtgt0(xc)) ),
inference(resolution,[status(thm)],[c_114,c_21051]) ).
tff(c_21057,plain,
aIdeal0(slsdtgt0(xc)),
inference(demodulation,[status(thm),theory(equality)],[c_3512,c_21054]) ).
tff(c_21059,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_208,c_21057]) ).
tff(c_21060,plain,
~ aElementOf0('#skF_12'(slsdtgt0(xc)),slsdtgt0(xc)),
inference(splitRight,[status(thm)],[c_21050]) ).
tff(c_21064,plain,
( aElement0('#skF_13'(slsdtgt0(xc)))
| aIdeal0(slsdtgt0(xc))
| ~ aSet0(slsdtgt0(xc)) ),
inference(resolution,[status(thm)],[c_122,c_21060]) ).
tff(c_21067,plain,
( aElement0('#skF_13'(slsdtgt0(xc)))
| aIdeal0(slsdtgt0(xc)) ),
inference(demodulation,[status(thm),theory(equality)],[c_3512,c_21064]) ).
tff(c_21069,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_208,c_18779,c_21067]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : RNG106+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15 % 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 : n024.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 17:56:45 EDT 2023
% 0.15/0.36 % CPUTime :
% 17.00/5.49 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.00/5.50
% 17.00/5.50 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 17.14/5.53
% 17.14/5.53 Inference rules
% 17.14/5.53 ----------------------
% 17.14/5.53 #Ref : 0
% 17.14/5.53 #Sup : 4551
% 17.14/5.53 #Fact : 0
% 17.14/5.53 #Define : 0
% 17.14/5.53 #Split : 12
% 17.14/5.53 #Chain : 0
% 17.14/5.53 #Close : 0
% 17.14/5.53
% 17.14/5.53 Ordering : KBO
% 17.14/5.53
% 17.14/5.53 Simplification rules
% 17.14/5.53 ----------------------
% 17.14/5.53 #Subsume : 347
% 17.14/5.53 #Demod : 4649
% 17.14/5.53 #Tautology : 1852
% 17.14/5.53 #SimpNegUnit : 92
% 17.14/5.53 #BackRed : 5
% 17.14/5.53
% 17.14/5.53 #Partial instantiations: 0
% 17.14/5.53 #Strategies tried : 1
% 17.14/5.53
% 17.14/5.53 Timing (in seconds)
% 17.14/5.53 ----------------------
% 17.14/5.54 Preprocessing : 0.70
% 17.14/5.54 Parsing : 0.33
% 17.14/5.54 CNF conversion : 0.06
% 17.14/5.54 Main loop : 3.74
% 17.14/5.54 Inferencing : 1.03
% 17.14/5.54 Reduction : 1.54
% 17.14/5.54 Demodulation : 1.27
% 17.14/5.54 BG Simplification : 0.10
% 17.14/5.54 Subsumption : 0.86
% 17.14/5.54 Abstraction : 0.11
% 17.14/5.54 MUC search : 0.00
% 17.14/5.54 Cooper : 0.00
% 17.14/5.54 Total : 4.49
% 17.14/5.54 Index Insertion : 0.00
% 17.14/5.54 Index Deletion : 0.00
% 17.14/5.54 Index Matching : 0.00
% 17.14/5.54 BG Taut test : 0.00
%------------------------------------------------------------------------------