TSTP Solution File: RNG072+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : RNG072+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 : n031.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 10:54:52 EDT 2023
% Result : Theorem 13.42s 4.87s
% Output : CNFRefutation 13.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 44
% Syntax : Number of formulae : 82 ( 25 unt; 33 typ; 0 def)
% Number of atoms : 110 ( 12 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 111 ( 50 ~; 38 |; 17 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 22 ( 15 >; 7 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 18 con; 0-2 aty)
% Number of variables : 34 (; 34 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > iLess0 > aVector0 > aScalar0 > aNaturalNumber0 > sdtpldt0 > sdtlbdtrb0 > sdtasdt0 > sdtasasdt0 > #nlpp > szszuzczcdt0 > sziznziztdt0 > smndt0 > aDimensionOf0 > xt > xs > xq > xp > xS > xR > xP > xN > xH > xG > xF > xE > xD > xC > xB > xA > sz0z00 > sz00 > #skF_1 > #skF_2
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(xq,type,
xq: $i ).
tff(xt,type,
xt: $i ).
tff(sdtasdt0,type,
sdtasdt0: ( $i * $i ) > $i ).
tff(szszuzczcdt0,type,
szszuzczcdt0: $i > $i ).
tff(sdtlbdtrb0,type,
sdtlbdtrb0: ( $i * $i ) > $i ).
tff(xG,type,
xG: $i ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(xE,type,
xE: $i ).
tff(sziznziztdt0,type,
sziznziztdt0: $i > $i ).
tff(sdtlseqdt0,type,
sdtlseqdt0: ( $i * $i ) > $o ).
tff(xS,type,
xS: $i ).
tff(sz00,type,
sz00: $i ).
tff(xR,type,
xR: $i ).
tff(xH,type,
xH: $i ).
tff(xP,type,
xP: $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(aDimensionOf0,type,
aDimensionOf0: $i > $i ).
tff(xB,type,
xB: $i ).
tff(aNaturalNumber0,type,
aNaturalNumber0: $i > $o ).
tff(sz0z00,type,
sz0z00: $i ).
tff(smndt0,type,
smndt0: $i > $i ).
tff(aScalar0,type,
aScalar0: $i > $o ).
tff(xs,type,
xs: $i ).
tff(xN,type,
xN: $i ).
tff(xC,type,
xC: $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(xp,type,
xp: $i ).
tff(sdtasasdt0,type,
sdtasasdt0: ( $i * $i ) > $i ).
tff(iLess0,type,
iLess0: ( $i * $i ) > $o ).
tff(xA,type,
xA: $i ).
tff(xD,type,
xD: $i ).
tff(xF,type,
xF: $i ).
tff(aVector0,type,
aVector0: $i > $o ).
tff(f_377,hypothesis,
( aScalar0(xP)
& ( xP = sdtasdt0(xE,xH) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1911) ).
tff(f_76,axiom,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> aScalar0(sdtpldt0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSumSc) ).
tff(f_374,hypothesis,
( aScalar0(xR)
& ( xR = sdtasdt0(xC,xG) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).
tff(f_380,hypothesis,
( aScalar0(xS)
& ( xS = sdtasdt0(xF,xD) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).
tff(f_82,axiom,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> aScalar0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).
tff(f_223,axiom,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> ( sdtlseqdt0(W0,W1)
| sdtlseqdt0(W1,W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETot) ).
tff(f_395,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
tff(f_118,axiom,
! [W0,W1,W2] :
( ( aScalar0(W0)
& aScalar0(W1)
& aScalar0(W2) )
=> ( ( sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) )
& ( sdtpldt0(W0,W1) = sdtpldt0(W1,W0) )
& ( sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) )
& ( sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mArith) ).
tff(f_390,hypothesis,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2610) ).
tff(f_393,hypothesis,
( sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
& sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2628) ).
tff(f_215,axiom,
! [W0,W1,W2,W3] :
( ( aScalar0(W0)
& aScalar0(W1)
& aScalar0(W2)
& aScalar0(W3) )
=> ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(sz0z00,W2)
& sdtlseqdt0(W2,W3) )
=> sdtlseqdt0(sdtasdt0(W0,W2),sdtasdt0(W1,W3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMonM) ).
tff(c_170,plain,
aScalar0(xP),
inference(cnfTransformation,[status(thm)],[f_377]) ).
tff(c_24,plain,
! [W0_11,W1_12] :
( aScalar0(sdtpldt0(W0_11,W1_12))
| ~ aScalar0(W1_12)
| ~ aScalar0(W0_11) ),
inference(cnfTransformation,[status(thm)],[f_76]) ).
tff(c_166,plain,
aScalar0(xR),
inference(cnfTransformation,[status(thm)],[f_374]) ).
tff(c_174,plain,
aScalar0(xS),
inference(cnfTransformation,[status(thm)],[f_380]) ).
tff(c_26,plain,
! [W0_13,W1_14] :
( aScalar0(sdtasdt0(W0_13,W1_14))
| ~ aScalar0(W1_14)
| ~ aScalar0(W0_13) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_1363,plain,
! [W1_112,W0_113] :
( sdtlseqdt0(W1_112,W0_113)
| sdtlseqdt0(W0_113,W1_112)
| ~ aScalar0(W1_112)
| ~ aScalar0(W0_113) ),
inference(cnfTransformation,[status(thm)],[f_223]) ).
tff(c_196,plain,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
inference(cnfTransformation,[status(thm)],[f_395]) ).
tff(c_1373,plain,
( sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))) ),
inference(resolution,[status(thm)],[c_1363,c_196]) ).
tff(c_1841,plain,
~ aScalar0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
inference(splitLeft,[status(thm)],[c_1373]) ).
tff(c_1845,plain,
~ aScalar0(sdtpldt0(xR,xS)),
inference(resolution,[status(thm)],[c_26,c_1841]) ).
tff(c_1848,plain,
( ~ aScalar0(xS)
| ~ aScalar0(xR) ),
inference(resolution,[status(thm)],[c_24,c_1845]) ).
tff(c_1852,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_166,c_174,c_1848]) ).
tff(c_1854,plain,
aScalar0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
inference(splitRight,[status(thm)],[c_1373]) ).
tff(c_46,plain,
! [W1_18,W0_17,W2_19] :
( ( sdtasdt0(W1_18,W0_17) = sdtasdt0(W0_17,W1_18) )
| ~ aScalar0(W2_19)
| ~ aScalar0(W1_18)
| ~ aScalar0(W0_17) ),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_4207,plain,
! [W2_19] : ~ aScalar0(W2_19),
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_1372,plain,
( sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))) ),
inference(resolution,[status(thm)],[c_1363,c_196]) ).
tff(c_1954,plain,
( sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))) ),
inference(demodulation,[status(thm),theory(equality)],[c_1854,c_1372]) ).
tff(c_1955,plain,
~ aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
inference(splitLeft,[status(thm)],[c_1954]) ).
tff(c_2180,plain,
~ aScalar0(sdtpldt0(xP,xP)),
inference(resolution,[status(thm)],[c_26,c_1955]) ).
tff(c_2183,plain,
~ aScalar0(xP),
inference(resolution,[status(thm)],[c_24,c_2180]) ).
tff(c_2187,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_170,c_2183]) ).
tff(c_2189,plain,
aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
inference(splitRight,[status(thm)],[c_1954]) ).
tff(c_4230,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4207,c_2189]) ).
tff(c_4232,plain,
! [W1_151,W0_152] :
( ( sdtasdt0(W1_151,W0_152) = sdtasdt0(W0_152,W1_151) )
| ~ aScalar0(W1_151)
| ~ aScalar0(W0_152) ),
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_4281,plain,
! [W0_152] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),W0_152) = sdtasdt0(W0_152,sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))) )
| ~ aScalar0(W0_152) ),
inference(resolution,[status(thm)],[c_1854,c_4232]) ).
tff(c_7421,plain,
! [W0_170,W1_171,W2_172] :
( ( sdtasdt0(sdtasdt0(W0_170,W1_171),W2_172) = sdtasdt0(W0_170,sdtasdt0(W1_171,W2_172)) )
| ~ aScalar0(W2_172)
| ~ aScalar0(W1_171)
| ~ aScalar0(W0_170) ),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_7579,plain,
! [W0_152] :
( ( sdtasdt0(sdtpldt0(xR,xS),sdtasdt0(sdtpldt0(xR,xS),W0_152)) = sdtasdt0(W0_152,sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))) )
| ~ aScalar0(W0_152)
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(W0_152) ),
inference(superposition,[status(thm),theory(equality)],[c_4281,c_7421]) ).
tff(c_11287,plain,
~ aScalar0(sdtpldt0(xR,xS)),
inference(splitLeft,[status(thm)],[c_7579]) ).
tff(c_11290,plain,
( ~ aScalar0(xS)
| ~ aScalar0(xR) ),
inference(resolution,[status(thm)],[c_24,c_11287]) ).
tff(c_11294,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_166,c_174,c_11290]) ).
tff(c_11296,plain,
aScalar0(sdtpldt0(xR,xS)),
inference(splitRight,[status(thm)],[c_7579]) ).
tff(c_190,plain,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(cnfTransformation,[status(thm)],[f_390]) ).
tff(c_194,plain,
sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)),
inference(cnfTransformation,[status(thm)],[f_393]) ).
tff(c_14370,plain,
! [W0_197,W2_198,W1_199,W3_200] :
( sdtlseqdt0(sdtasdt0(W0_197,W2_198),sdtasdt0(W1_199,W3_200))
| ~ sdtlseqdt0(W2_198,W3_200)
| ~ sdtlseqdt0(sz0z00,W2_198)
| ~ sdtlseqdt0(W0_197,W1_199)
| ~ aScalar0(W3_200)
| ~ aScalar0(W2_198)
| ~ aScalar0(W1_199)
| ~ aScalar0(W0_197) ),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_14377,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(resolution,[status(thm)],[c_14370,c_196]) ).
tff(c_15156,plain,
~ aScalar0(sdtpldt0(xP,xP)),
inference(demodulation,[status(thm),theory(equality)],[c_11296,c_190,c_194,c_14377]) ).
tff(c_15659,plain,
~ aScalar0(xP),
inference(resolution,[status(thm)],[c_24,c_15156]) ).
tff(c_15663,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_170,c_15659]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : RNG072+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % 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
% 0.16/0.37 % Computer : n031.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu Aug 3 18:26:14 EDT 2023
% 0.16/0.37 % CPUTime :
% 13.42/4.87 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.42/4.87
% 13.42/4.87 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 13.42/4.90
% 13.42/4.90 Inference rules
% 13.42/4.90 ----------------------
% 13.42/4.90 #Ref : 2
% 13.42/4.90 #Sup : 3403
% 13.42/4.90 #Fact : 2
% 13.42/4.90 #Define : 0
% 13.42/4.90 #Split : 19
% 13.42/4.90 #Chain : 0
% 13.42/4.90 #Close : 0
% 13.42/4.90
% 13.42/4.90 Ordering : KBO
% 13.42/4.90
% 13.42/4.90 Simplification rules
% 13.42/4.90 ----------------------
% 13.42/4.90 #Subsume : 164
% 13.42/4.90 #Demod : 5252
% 13.42/4.90 #Tautology : 1454
% 13.42/4.90 #SimpNegUnit : 67
% 13.42/4.90 #BackRed : 49
% 13.42/4.90
% 13.42/4.90 #Partial instantiations: 0
% 13.42/4.90 #Strategies tried : 1
% 13.42/4.90
% 13.42/4.90 Timing (in seconds)
% 13.42/4.90 ----------------------
% 13.42/4.91 Preprocessing : 0.68
% 13.42/4.91 Parsing : 0.36
% 13.42/4.91 CNF conversion : 0.05
% 13.42/4.91 Main loop : 3.13
% 13.42/4.91 Inferencing : 0.69
% 13.42/4.91 Reduction : 1.66
% 13.42/4.91 Demodulation : 1.43
% 13.42/4.91 BG Simplification : 0.08
% 13.42/4.91 Subsumption : 0.57
% 13.42/4.91 Abstraction : 0.09
% 13.42/4.91 MUC search : 0.00
% 13.42/4.91 Cooper : 0.00
% 13.42/4.91 Total : 3.86
% 13.42/4.91 Index Insertion : 0.00
% 13.42/4.91 Index Deletion : 0.00
% 13.42/4.91 Index Matching : 0.00
% 13.42/4.91 BG Taut test : 0.00
%------------------------------------------------------------------------------