TSTP Solution File: RNG077+2 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : RNG077+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 : 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 10:54:53 EDT 2023
% Result : Theorem 15.31s 5.93s
% Output : CNFRefutation 15.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 46
% Syntax : Number of formulae : 88 ( 27 unt; 33 typ; 0 def)
% Number of atoms : 113 ( 34 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 102 ( 44 ~; 30 |; 20 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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_391,hypothesis,
( aScalar0(xP)
& ( xP = sdtasdt0(xE,xH) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1911) ).
tff(f_385,hypothesis,
( aScalar0(xH)
& ( xH = sdtasdt0(xA,xB) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1873) ).
tff(f_82,axiom,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> aScalar0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).
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_376,hypothesis,
( aScalar0(xE)
& ( xE = sdtasasdt0(xp,xq) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1820) ).
tff(f_128,axiom,
! [W0,W1,W2] :
( ( aScalar0(W0)
& aScalar0(W1)
& aScalar0(W2) )
=> ( ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)) )
& ( sdtasdt0(sdtpldt0(W0,W1),W2) = sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W1,W2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistr) ).
tff(f_402,negated_conjecture,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
tff(f_328,hypothesis,
( aVector0(xs)
& aVector0(xt) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1678) ).
tff(f_351,hypothesis,
( aVector0(xp)
& ( szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs) )
& ! [W0] :
( aNaturalNumber0(W0)
=> ( sdtlbdtrb0(xp,W0) = sdtlbdtrb0(xs,W0) ) )
& ( xp = sziznziztdt0(xs) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1709) ).
tff(f_258,axiom,
! [W0] :
( aVector0(W0)
=> aNaturalNumber0(aDimensionOf0(W0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDimNat) ).
tff(f_66,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> iLess0(W0,szszuzczcdt0(W0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH) ).
tff(f_361,hypothesis,
( aVector0(xq)
& ( szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt) )
& ! [W0] :
( aNaturalNumber0(W0)
=> ( sdtlbdtrb0(xq,W0) = sdtlbdtrb0(xt,W0) ) )
& ( xq = sziznziztdt0(xt) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1726) ).
tff(f_264,axiom,
! [W0,W1] :
( ( aVector0(W0)
& aNaturalNumber0(W1) )
=> aScalar0(sdtlbdtrb0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mElmSc) ).
tff(c_178,plain,
aScalar0(xP),
inference(cnfTransformation,[status(thm)],[f_391]) ).
tff(c_170,plain,
aScalar0(xH),
inference(cnfTransformation,[status(thm)],[f_385]) ).
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_52,plain,
! [W0_17,W1_18,W2_19] :
( ( sdtpldt0(sdtpldt0(W0_17,W1_18),W2_19) = sdtpldt0(W0_17,sdtpldt0(W1_18,W2_19)) )
| ~ aScalar0(W2_19)
| ~ aScalar0(W1_18)
| ~ aScalar0(W0_17) ),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_158,plain,
aScalar0(xE),
inference(cnfTransformation,[status(thm)],[f_376]) ).
tff(c_4567,plain,
! [W0_155,W1_156,W2_157] :
( ( sdtpldt0(sdtasdt0(W0_155,W1_156),sdtasdt0(W0_155,W2_157)) = sdtasdt0(W0_155,sdtpldt0(W1_156,W2_157)) )
| ~ aScalar0(W2_157)
| ~ aScalar0(W1_156)
| ~ aScalar0(W0_155) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_176,plain,
sdtasdt0(xE,xH) = xP,
inference(cnfTransformation,[status(thm)],[f_391]) ).
tff(c_194,plain,
sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) != sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),
inference(cnfTransformation,[status(thm)],[f_402]) ).
tff(c_195,plain,
sdtpldt0(xP,sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) != sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),
inference(demodulation,[status(thm),theory(equality)],[c_176,c_194]) ).
tff(c_4582,plain,
( ( sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(xP,sdtasdt0(xH,sdtpldt0(xE,xH))) )
| ~ aScalar0(xH)
| ~ aScalar0(xE)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm),theory(equality)],[c_4567,c_195]) ).
tff(c_5062,plain,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(xP,sdtasdt0(xH,sdtpldt0(xE,xH))),
inference(demodulation,[status(thm),theory(equality)],[c_170,c_158,c_170,c_4582]) ).
tff(c_5581,plain,
( ( sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH))) != sdtpldt0(xP,sdtasdt0(xH,sdtpldt0(xE,xH))) )
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(xP)
| ~ aScalar0(xP) ),
inference(superposition,[status(thm),theory(equality)],[c_52,c_5062]) ).
tff(c_5583,plain,
( ( sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH))) != sdtpldt0(xP,sdtasdt0(xH,sdtpldt0(xE,xH))) )
| ~ aScalar0(sdtasdt0(xH,xH)) ),
inference(demodulation,[status(thm),theory(equality)],[c_178,c_178,c_5581]) ).
tff(c_6676,plain,
~ aScalar0(sdtasdt0(xH,xH)),
inference(splitLeft,[status(thm)],[c_5583]) ).
tff(c_6679,plain,
~ aScalar0(xH),
inference(resolution,[status(thm)],[c_26,c_6676]) ).
tff(c_6683,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_170,c_6679]) ).
tff(c_6685,plain,
aScalar0(sdtasdt0(xH,xH)),
inference(splitRight,[status(thm)],[c_5583]) ).
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_1734,plain,
! [W2_19] : ~ aScalar0(W2_19),
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_114,plain,
aVector0(xt),
inference(cnfTransformation,[status(thm)],[f_328]) ).
tff(c_130,plain,
aVector0(xp),
inference(cnfTransformation,[status(thm)],[f_351]) ).
tff(c_90,plain,
! [W0_55] :
( aNaturalNumber0(aDimensionOf0(W0_55))
| ~ aVector0(W0_55) ),
inference(cnfTransformation,[status(thm)],[f_258]) ).
tff(c_128,plain,
szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs),
inference(cnfTransformation,[status(thm)],[f_351]) ).
tff(c_382,plain,
! [W0_87] :
( iLess0(W0_87,szszuzczcdt0(W0_87))
| ~ aNaturalNumber0(W0_87) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_388,plain,
( iLess0(aDimensionOf0(xp),aDimensionOf0(xs))
| ~ aNaturalNumber0(aDimensionOf0(xp)) ),
inference(superposition,[status(thm),theory(equality)],[c_128,c_382]) ).
tff(c_1585,plain,
~ aNaturalNumber0(aDimensionOf0(xp)),
inference(splitLeft,[status(thm)],[c_388]) ).
tff(c_1625,plain,
~ aVector0(xp),
inference(resolution,[status(thm)],[c_90,c_1585]) ).
tff(c_1629,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_130,c_1625]) ).
tff(c_1631,plain,
aNaturalNumber0(aDimensionOf0(xp)),
inference(splitRight,[status(thm)],[c_388]) ).
tff(c_134,plain,
! [W0_80] :
( ( sdtlbdtrb0(xt,W0_80) = sdtlbdtrb0(xq,W0_80) )
| ~ aNaturalNumber0(W0_80) ),
inference(cnfTransformation,[status(thm)],[f_361]) ).
tff(c_1642,plain,
sdtlbdtrb0(xt,aDimensionOf0(xp)) = sdtlbdtrb0(xq,aDimensionOf0(xp)),
inference(resolution,[status(thm)],[c_1631,c_134]) ).
tff(c_92,plain,
! [W0_56,W1_57] :
( aScalar0(sdtlbdtrb0(W0_56,W1_57))
| ~ aNaturalNumber0(W1_57)
| ~ aVector0(W0_56) ),
inference(cnfTransformation,[status(thm)],[f_264]) ).
tff(c_1648,plain,
( aScalar0(sdtlbdtrb0(xq,aDimensionOf0(xp)))
| ~ aNaturalNumber0(aDimensionOf0(xp))
| ~ aVector0(xt) ),
inference(superposition,[status(thm),theory(equality)],[c_1642,c_92]) ).
tff(c_1652,plain,
aScalar0(sdtlbdtrb0(xq,aDimensionOf0(xp))),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_1631,c_1648]) ).
tff(c_1755,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1734,c_1652]) ).
tff(c_1800,plain,
! [W1_120,W0_121] :
( ( sdtasdt0(W1_120,W0_121) = sdtasdt0(W0_121,W1_120) )
| ~ aScalar0(W1_120)
| ~ aScalar0(W0_121) ),
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_18373,plain,
! [W0_194] :
( ( sdtasdt0(xE,W0_194) = sdtasdt0(W0_194,xE) )
| ~ aScalar0(W0_194) ),
inference(resolution,[status(thm)],[c_158,c_1800]) ).
tff(c_18556,plain,
sdtasdt0(xH,xE) = sdtasdt0(xE,xH),
inference(resolution,[status(thm)],[c_170,c_18373]) ).
tff(c_18651,plain,
sdtasdt0(xH,xE) = xP,
inference(demodulation,[status(thm),theory(equality)],[c_176,c_18556]) ).
tff(c_18666,plain,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH))),
inference(demodulation,[status(thm),theory(equality)],[c_18651,c_195]) ).
tff(c_18872,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(xP) ),
inference(superposition,[status(thm),theory(equality)],[c_52,c_18666]) ).
tff(c_18878,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_178,c_6685,c_18872]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG077+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 : n006.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 17:55:14 EDT 2023
% 0.14/0.35 % CPUTime :
% 15.31/5.93 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.31/5.93
% 15.31/5.93 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 15.31/5.96
% 15.31/5.96 Inference rules
% 15.31/5.96 ----------------------
% 15.31/5.96 #Ref : 3
% 15.31/5.96 #Sup : 4287
% 15.31/5.96 #Fact : 2
% 15.31/5.96 #Define : 0
% 15.31/5.96 #Split : 14
% 15.31/5.96 #Chain : 0
% 15.31/5.96 #Close : 0
% 15.31/5.96
% 15.31/5.96 Ordering : KBO
% 15.31/5.96
% 15.31/5.96 Simplification rules
% 15.31/5.96 ----------------------
% 15.31/5.96 #Subsume : 73
% 15.31/5.96 #Demod : 5469
% 15.31/5.96 #Tautology : 1013
% 15.31/5.96 #SimpNegUnit : 69
% 15.31/5.96 #BackRed : 50
% 15.31/5.96
% 15.31/5.96 #Partial instantiations: 0
% 15.31/5.96 #Strategies tried : 1
% 15.31/5.96
% 15.31/5.96 Timing (in seconds)
% 15.31/5.96 ----------------------
% 15.31/5.97 Preprocessing : 0.69
% 15.31/5.97 Parsing : 0.35
% 15.31/5.97 CNF conversion : 0.05
% 15.31/5.97 Main loop : 4.15
% 15.31/5.97 Inferencing : 0.82
% 15.31/5.97 Reduction : 2.29
% 15.31/5.97 Demodulation : 2.02
% 15.31/5.97 BG Simplification : 0.10
% 15.31/5.97 Subsumption : 0.75
% 15.31/5.97 Abstraction : 0.11
% 15.31/5.97 MUC search : 0.00
% 15.31/5.97 Cooper : 0.00
% 15.31/5.97 Total : 4.89
% 15.31/5.97 Index Insertion : 0.00
% 15.31/5.97 Index Deletion : 0.00
% 15.31/5.97 Index Matching : 0.00
% 15.31/5.97 BG Taut test : 0.00
%------------------------------------------------------------------------------