TSTP Solution File: RNG072+2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : RNG072+2 : 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 : n016.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 13.40s 4.87s
% Output : CNFRefutation 13.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 45
% Syntax : Number of formulae : 93 ( 31 unt; 33 typ; 0 def)
% Number of atoms : 131 ( 18 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 129 ( 58 ~; 47 |; 18 &)
% ( 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 : 41 (; 41 !; 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_394,hypothesis,
( aScalar0(xS)
& ( xS = sdtasdt0(xF,xD) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).
tff(f_388,hypothesis,
( aScalar0(xR)
& ( xR = sdtasdt0(xC,xG) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).
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_76,axiom,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> aScalar0(sdtpldt0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSumSc) ).
tff(f_82,axiom,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> aScalar0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).
tff(f_391,hypothesis,
( aScalar0(xP)
& ( xP = sdtasdt0(xE,xH) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1911) ).
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_409,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_379,hypothesis,
( aScalar0(xF)
& ( xF = sdtasdt0(xA,xA) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
tff(f_404,hypothesis,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2610) ).
tff(f_407,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_182,plain,
aScalar0(xS),
inference(cnfTransformation,[status(thm)],[f_394]) ).
tff(c_174,plain,
aScalar0(xR),
inference(cnfTransformation,[status(thm)],[f_388]) ).
tff(c_50,plain,
! [W1_18,W0_17,W2_19] :
( ( sdtpldt0(W1_18,W0_17) = sdtpldt0(W0_17,W1_18) )
| ~ aScalar0(W2_19)
| ~ aScalar0(W1_18)
| ~ aScalar0(W0_17) ),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_1948,plain,
! [W2_19] : ~ aScalar0(W2_19),
inference(splitLeft,[status(thm)],[c_50]) ).
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_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_178,plain,
aScalar0(xP),
inference(cnfTransformation,[status(thm)],[f_391]) ).
tff(c_1603,plain,
! [W1_117,W0_118] :
( sdtlseqdt0(W1_117,W0_118)
| sdtlseqdt0(W0_118,W1_117)
| ~ aScalar0(W1_117)
| ~ aScalar0(W0_118) ),
inference(cnfTransformation,[status(thm)],[f_223]) ).
tff(c_204,plain,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
inference(cnfTransformation,[status(thm)],[f_409]) ).
tff(c_1612,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_1603,c_204]) ).
tff(c_1673,plain,
~ aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
inference(splitLeft,[status(thm)],[c_1612]) ).
tff(c_1695,plain,
~ aScalar0(sdtpldt0(xP,xP)),
inference(resolution,[status(thm)],[c_26,c_1673]) ).
tff(c_1698,plain,
~ aScalar0(xP),
inference(resolution,[status(thm)],[c_24,c_1695]) ).
tff(c_1702,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_178,c_1698]) ).
tff(c_1704,plain,
aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
inference(splitRight,[status(thm)],[c_1612]) ).
tff(c_1613,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_1603,c_204]) ).
tff(c_1786,plain,
( sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))) ),
inference(demodulation,[status(thm),theory(equality)],[c_1704,c_1613]) ).
tff(c_1787,plain,
~ aScalar0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
inference(splitLeft,[status(thm)],[c_1786]) ).
tff(c_1825,plain,
~ aScalar0(sdtpldt0(xR,xS)),
inference(resolution,[status(thm)],[c_26,c_1787]) ).
tff(c_1828,plain,
( ~ aScalar0(xS)
| ~ aScalar0(xR) ),
inference(resolution,[status(thm)],[c_24,c_1825]) ).
tff(c_1832,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_174,c_182,c_1828]) ).
tff(c_1834,plain,
aScalar0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
inference(splitRight,[status(thm)],[c_1786]) ).
tff(c_1972,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1948,c_1834]) ).
tff(c_2060,plain,
! [W1_123,W0_124] :
( ( sdtpldt0(W1_123,W0_124) = sdtpldt0(W0_124,W1_123) )
| ~ aScalar0(W1_123)
| ~ aScalar0(W0_124) ),
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_2136,plain,
! [W0_125] :
( ( sdtpldt0(xS,W0_125) = sdtpldt0(W0_125,xS) )
| ~ aScalar0(W0_125) ),
inference(resolution,[status(thm)],[c_182,c_2060]) ).
tff(c_2237,plain,
sdtpldt0(xS,xR) = sdtpldt0(xR,xS),
inference(resolution,[status(thm)],[c_174,c_2136]) ).
tff(c_2617,plain,
( aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(xR)
| ~ aScalar0(xS) ),
inference(superposition,[status(thm),theory(equality)],[c_2237,c_24]) ).
tff(c_2621,plain,
aScalar0(sdtpldt0(xR,xS)),
inference(demodulation,[status(thm),theory(equality)],[c_182,c_174,c_2617]) ).
tff(c_5972,plain,
! [W0_153,W1_154,W2_155] :
( ( sdtasdt0(sdtasdt0(W0_153,W1_154),W2_155) = sdtasdt0(W0_153,sdtasdt0(W1_154,W2_155)) )
| ~ aScalar0(W2_155)
| ~ aScalar0(W1_154)
| ~ aScalar0(W0_153) ),
inference(cnfTransformation,[status(thm)],[f_118]) ).
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_2523,plain,
! [W2_19] : ~ aScalar0(W2_19),
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_162,plain,
aScalar0(xF),
inference(cnfTransformation,[status(thm)],[f_379]) ).
tff(c_2229,plain,
sdtpldt0(xS,xF) = sdtpldt0(xF,xS),
inference(resolution,[status(thm)],[c_162,c_2136]) ).
tff(c_2485,plain,
( aScalar0(sdtpldt0(xF,xS))
| ~ aScalar0(xF)
| ~ aScalar0(xS) ),
inference(superposition,[status(thm),theory(equality)],[c_2229,c_24]) ).
tff(c_2489,plain,
aScalar0(sdtpldt0(xF,xS)),
inference(demodulation,[status(thm),theory(equality)],[c_182,c_162,c_2485]) ).
tff(c_2556,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2523,c_2489]) ).
tff(c_2678,plain,
! [W1_128,W0_129] :
( ( sdtasdt0(W1_128,W0_129) = sdtasdt0(W0_129,W1_128) )
| ~ aScalar0(W1_128)
| ~ aScalar0(W0_129) ),
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_2766,plain,
! [W0_129] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),W0_129) = sdtasdt0(W0_129,sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))) )
| ~ aScalar0(W0_129) ),
inference(resolution,[status(thm)],[c_1704,c_2678]) ).
tff(c_6024,plain,
! [W2_155] :
( ( sdtasdt0(sdtpldt0(xP,xP),sdtasdt0(sdtpldt0(xP,xP),W2_155)) = sdtasdt0(W2_155,sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))) )
| ~ aScalar0(W2_155)
| ~ aScalar0(W2_155)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xP,xP)) ),
inference(superposition,[status(thm),theory(equality)],[c_5972,c_2766]) ).
tff(c_12987,plain,
~ aScalar0(sdtpldt0(xP,xP)),
inference(splitLeft,[status(thm)],[c_6024]) ).
tff(c_12990,plain,
~ aScalar0(xP),
inference(resolution,[status(thm)],[c_24,c_12987]) ).
tff(c_12994,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_178,c_12990]) ).
tff(c_12996,plain,
aScalar0(sdtpldt0(xP,xP)),
inference(splitRight,[status(thm)],[c_6024]) ).
tff(c_198,plain,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(cnfTransformation,[status(thm)],[f_404]) ).
tff(c_202,plain,
sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_13122,plain,
! [W0_178,W2_179,W1_180,W3_181] :
( sdtlseqdt0(sdtasdt0(W0_178,W2_179),sdtasdt0(W1_180,W3_181))
| ~ sdtlseqdt0(W2_179,W3_181)
| ~ sdtlseqdt0(sz0z00,W2_179)
| ~ sdtlseqdt0(W0_178,W1_180)
| ~ aScalar0(W3_181)
| ~ aScalar0(W2_179)
| ~ aScalar0(W1_180)
| ~ aScalar0(W0_178) ),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_13129,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_13122,c_204]) ).
tff(c_14071,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2621,c_12996,c_198,c_202,c_13129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG072+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % 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 : n016.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 18:25:38 EDT 2023
% 0.14/0.35 % CPUTime :
% 13.40/4.87 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.40/4.88
% 13.40/4.88 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 13.40/4.91
% 13.40/4.91 Inference rules
% 13.40/4.91 ----------------------
% 13.40/4.91 #Ref : 2
% 13.40/4.91 #Sup : 3326
% 13.40/4.91 #Fact : 4
% 13.40/4.91 #Define : 0
% 13.40/4.91 #Split : 17
% 13.40/4.91 #Chain : 0
% 13.40/4.91 #Close : 0
% 13.40/4.91
% 13.40/4.91 Ordering : KBO
% 13.40/4.91
% 13.40/4.91 Simplification rules
% 13.40/4.91 ----------------------
% 13.40/4.91 #Subsume : 77
% 13.40/4.91 #Demod : 3825
% 13.40/4.91 #Tautology : 1026
% 13.40/4.91 #SimpNegUnit : 76
% 13.40/4.91 #BackRed : 62
% 13.40/4.91
% 13.40/4.91 #Partial instantiations: 0
% 13.40/4.91 #Strategies tried : 1
% 13.40/4.91
% 13.40/4.91 Timing (in seconds)
% 13.40/4.91 ----------------------
% 13.40/4.91 Preprocessing : 0.68
% 13.40/4.91 Parsing : 0.35
% 13.40/4.91 CNF conversion : 0.05
% 13.40/4.91 Main loop : 3.14
% 13.40/4.91 Inferencing : 0.74
% 13.40/4.91 Reduction : 1.62
% 13.40/4.91 Demodulation : 1.40
% 13.40/4.92 BG Simplification : 0.08
% 13.40/4.92 Subsumption : 0.56
% 13.40/4.92 Abstraction : 0.08
% 13.40/4.92 MUC search : 0.00
% 13.40/4.92 Cooper : 0.00
% 13.40/4.92 Total : 3.88
% 13.40/4.92 Index Insertion : 0.00
% 13.40/4.92 Index Deletion : 0.00
% 13.40/4.92 Index Matching : 0.00
% 13.40/4.92 BG Taut test : 0.00
%------------------------------------------------------------------------------