TSTP Solution File: RNG108+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : RNG108+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 : n006.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 10:54:59 EDT 2023
% Result : Theorem 7.50s 2.72s
% Output : CNFRefutation 7.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 54
% Syntax : Number of formulae : 89 ( 22 unt; 47 typ; 1 def)
% Number of atoms : 81 ( 14 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 73 ( 34 ~; 26 |; 8 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 88 ( 41 >; 47 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 36 ( 36 usr; 6 con; 0-4 aty)
% Number of variables : 18 (; 17 !; 1 ?; 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_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_1 > #skF_16 > #skF_21 > #skF_10
%Foreground sorts:
%Background operators:
%Foreground operators:
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(xa,type,
xa: $i ).
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(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(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(xb,type,
xb: $i ).
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(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_369,negated_conjecture,
~ ( aElementOf0(sz00,slsdtgt0(xa))
& aElementOf0(xa,slsdtgt0(xa))
& aElementOf0(sz00,slsdtgt0(xb))
& aElementOf0(xb,slsdtgt0(xb)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(f_352,hypothesis,
( aElement0(xa)
& aElement0(xb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2091) ).
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(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_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(c_220,plain,
( ~ aElementOf0(xb,slsdtgt0(xb))
| ~ aElementOf0(sz00,slsdtgt0(xb))
| ~ aElementOf0(xa,slsdtgt0(xa))
| ~ aElementOf0(sz00,slsdtgt0(xa)) ),
inference(cnfTransformation,[status(thm)],[f_369]) ).
tff(c_223,plain,
~ aElementOf0(sz00,slsdtgt0(xa)),
inference(splitLeft,[status(thm)],[c_220]) ).
tff(c_210,plain,
aElement0(xa),
inference(cnfTransformation,[status(thm)],[f_352]) ).
tff(c_4,plain,
aElement0(sz00),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_227,plain,
! [W0_226] :
( ( sdtasdt0(W0_226,sz00) = sz00 )
| ~ aElement0(W0_226) ),
inference(cnfTransformation,[status(thm)],[f_115]) ).
tff(c_247,plain,
sdtasdt0(xa,sz00) = sz00,
inference(resolution,[status(thm)],[c_210,c_227]) ).
tff(c_1032,plain,
! [W0_273,W3_274] :
( aElementOf0(sdtasdt0(W0_273,W3_274),slsdtgt0(W0_273))
| ~ aElement0(W3_274)
| ~ aElement0(W0_273) ),
inference(cnfTransformation,[status(thm)],[f_345]) ).
tff(c_1086,plain,
( aElementOf0(sz00,slsdtgt0(xa))
| ~ aElement0(sz00)
| ~ aElement0(xa) ),
inference(superposition,[status(thm),theory(equality)],[c_247,c_1032]) ).
tff(c_1126,plain,
aElementOf0(sz00,slsdtgt0(xa)),
inference(demodulation,[status(thm),theory(equality)],[c_210,c_4,c_1086]) ).
tff(c_1128,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_223,c_1126]) ).
tff(c_1129,plain,
( ~ aElementOf0(xa,slsdtgt0(xa))
| ~ aElementOf0(sz00,slsdtgt0(xb))
| ~ aElementOf0(xb,slsdtgt0(xb)) ),
inference(splitRight,[status(thm)],[c_220]) ).
tff(c_1171,plain,
~ aElementOf0(xb,slsdtgt0(xb)),
inference(splitLeft,[status(thm)],[c_1129]) ).
tff(c_208,plain,
aElement0(xb),
inference(cnfTransformation,[status(thm)],[f_352]) ).
tff(c_6,plain,
aElement0(sz10),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_1281,plain,
! [W0_282] :
( ( sdtasdt0(W0_282,sz10) = W0_282 )
| ~ aElement0(W0_282) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_1298,plain,
sdtasdt0(xb,sz10) = xb,
inference(resolution,[status(thm)],[c_208,c_1281]) ).
tff(c_2180,plain,
! [W0_327,W3_328] :
( aElementOf0(sdtasdt0(W0_327,W3_328),slsdtgt0(W0_327))
| ~ aElement0(W3_328)
| ~ aElement0(W0_327) ),
inference(cnfTransformation,[status(thm)],[f_345]) ).
tff(c_2231,plain,
( aElementOf0(xb,slsdtgt0(xb))
| ~ aElement0(sz10)
| ~ aElement0(xb) ),
inference(superposition,[status(thm),theory(equality)],[c_1298,c_2180]) ).
tff(c_2281,plain,
aElementOf0(xb,slsdtgt0(xb)),
inference(demodulation,[status(thm),theory(equality)],[c_208,c_6,c_2231]) ).
tff(c_2283,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1171,c_2281]) ).
tff(c_2284,plain,
( ~ aElementOf0(sz00,slsdtgt0(xb))
| ~ aElementOf0(xa,slsdtgt0(xa)) ),
inference(splitRight,[status(thm)],[c_1129]) ).
tff(c_2353,plain,
~ aElementOf0(xa,slsdtgt0(xa)),
inference(splitLeft,[status(thm)],[c_2284]) ).
tff(c_2388,plain,
! [W0_332] :
( ( sdtasdt0(W0_332,sz10) = W0_332 )
| ~ aElement0(W0_332) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_2409,plain,
sdtasdt0(xa,sz10) = xa,
inference(resolution,[status(thm)],[c_210,c_2388]) ).
tff(c_3047,plain,
! [W0_375,W3_376] :
( aElementOf0(sdtasdt0(W0_375,W3_376),slsdtgt0(W0_375))
| ~ aElement0(W3_376)
| ~ aElement0(W0_375) ),
inference(cnfTransformation,[status(thm)],[f_345]) ).
tff(c_3083,plain,
( aElementOf0(xa,slsdtgt0(xa))
| ~ aElement0(sz10)
| ~ aElement0(xa) ),
inference(superposition,[status(thm),theory(equality)],[c_2409,c_3047]) ).
tff(c_3129,plain,
aElementOf0(xa,slsdtgt0(xa)),
inference(demodulation,[status(thm),theory(equality)],[c_210,c_6,c_3083]) ).
tff(c_3131,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2353,c_3129]) ).
tff(c_3132,plain,
~ aElementOf0(sz00,slsdtgt0(xb)),
inference(splitRight,[status(thm)],[c_2284]) ).
tff(c_3179,plain,
! [W0_378] :
( ( sdtasdt0(W0_378,sz00) = sz00 )
| ~ aElement0(W0_378) ),
inference(cnfTransformation,[status(thm)],[f_115]) ).
tff(c_3196,plain,
sdtasdt0(xb,sz00) = sz00,
inference(resolution,[status(thm)],[c_208,c_3179]) ).
tff(c_3907,plain,
! [W0_420,W3_421] :
( aElementOf0(sdtasdt0(W0_420,W3_421),slsdtgt0(W0_420))
| ~ aElement0(W3_421)
| ~ aElement0(W0_420) ),
inference(cnfTransformation,[status(thm)],[f_345]) ).
tff(c_3946,plain,
( aElementOf0(sz00,slsdtgt0(xb))
| ~ aElement0(sz00)
| ~ aElement0(xb) ),
inference(superposition,[status(thm),theory(equality)],[c_3196,c_3907]) ).
tff(c_3991,plain,
aElementOf0(sz00,slsdtgt0(xb)),
inference(demodulation,[status(thm),theory(equality)],[c_208,c_4,c_3946]) ).
tff(c_3993,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3132,c_3991]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG108+1 : 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 : n006.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 18:00:13 EDT 2023
% 0.21/0.35 % CPUTime :
% 7.50/2.72 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.50/2.73
% 7.50/2.73 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.50/2.76
% 7.50/2.76 Inference rules
% 7.50/2.76 ----------------------
% 7.50/2.76 #Ref : 0
% 7.50/2.76 #Sup : 902
% 7.50/2.76 #Fact : 0
% 7.50/2.76 #Define : 0
% 7.50/2.76 #Split : 12
% 7.50/2.76 #Chain : 0
% 7.50/2.76 #Close : 0
% 7.50/2.76
% 7.50/2.76 Ordering : KBO
% 7.50/2.76
% 7.50/2.76 Simplification rules
% 7.50/2.76 ----------------------
% 7.50/2.76 #Subsume : 28
% 7.50/2.76 #Demod : 634
% 7.50/2.76 #Tautology : 486
% 7.50/2.76 #SimpNegUnit : 4
% 7.50/2.76 #BackRed : 0
% 7.50/2.76
% 7.50/2.76 #Partial instantiations: 0
% 7.50/2.76 #Strategies tried : 1
% 7.50/2.76
% 7.50/2.76 Timing (in seconds)
% 7.50/2.76 ----------------------
% 7.50/2.76 Preprocessing : 0.73
% 7.50/2.76 Parsing : 0.36
% 7.50/2.76 CNF conversion : 0.07
% 7.50/2.76 Main loop : 0.95
% 7.50/2.76 Inferencing : 0.33
% 7.50/2.76 Reduction : 0.28
% 7.50/2.76 Demodulation : 0.20
% 7.50/2.76 BG Simplification : 0.06
% 7.50/2.76 Subsumption : 0.20
% 7.50/2.76 Abstraction : 0.04
% 7.50/2.76 MUC search : 0.00
% 7.50/2.76 Cooper : 0.00
% 7.50/2.76 Total : 1.73
% 7.50/2.76 Index Insertion : 0.00
% 7.50/2.76 Index Deletion : 0.00
% 7.50/2.76 Index Matching : 0.00
% 7.50/2.76 BG Taut test : 0.00
%------------------------------------------------------------------------------