TSTP Solution File: RNG052+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : RNG052+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 : n008.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 10:54:49 EDT 2023
% Result : Theorem 29.79s 17.07s
% Output : CNFRefutation 29.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 47
% Syntax : Number of formulae : 81 ( 23 unt; 33 typ; 1 def)
% Number of atoms : 102 ( 47 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 89 ( 35 ~; 32 |; 11 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 19 (; 19 !; 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_385,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(f_344,hypothesis,
( aVector0(xp)
& ( xp = sziznziztdt0(xs) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1709) ).
tff(f_347,hypothesis,
( aVector0(xq)
& ( xq = sziznziztdt0(xt) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1726) ).
tff(f_258,axiom,
! [W0] :
( aVector0(W0)
=> aNaturalNumber0(aDimensionOf0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDimNat) ).
tff(f_341,hypothesis,
aDimensionOf0(xs) != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1692) ).
tff(f_328,hypothesis,
( aVector0(xs)
& aVector0(xt) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1678) ).
tff(f_281,definition,
! [W0] :
( aVector0(W0)
=> ( ( aDimensionOf0(W0) != sz00 )
=> ! [W1] :
( ( W1 = sziznziztdt0(W0) )
<=> ( aVector0(W1)
& ( szszuzczcdt0(aDimensionOf0(W1)) = aDimensionOf0(W0) )
& ! [W2] :
( aNaturalNumber0(W2)
=> ( sdtlbdtrb0(W1,W2) = sdtlbdtrb0(W0,W2) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefInit) ).
tff(f_66,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> iLess0(W0,szszuzczcdt0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH) ).
tff(f_359,hypothesis,
( aScalar0(xD)
& ( xD = sdtasasdt0(xq,xq) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1800) ).
tff(f_362,hypothesis,
( aScalar0(xE)
& ( xE = sdtasasdt0(xp,xq) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1820) ).
tff(f_356,hypothesis,
( aScalar0(xC)
& ( xC = sdtasasdt0(xp,xp) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1783) ).
tff(f_338,hypothesis,
! [W0,W1] :
( ( aVector0(W0)
& aVector0(W1) )
=> ( ( aDimensionOf0(W0) = aDimensionOf0(W1) )
=> ( iLess0(aDimensionOf0(W0),aDimensionOf0(xs))
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(W0,W1),sdtasasdt0(W0,W1)),sdtasdt0(sdtasasdt0(W0,W0),sdtasasdt0(W1,W1))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1652) ).
tff(f_339,hypothesis,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1678_01) ).
tff(f_292,axiom,
! [W0,W1] :
( ( aVector0(W0)
& aVector0(W1) )
=> ( ( ( aDimensionOf0(W0) = aDimensionOf0(W1) )
& ( aDimensionOf0(W1) != sz00 ) )
=> ( aDimensionOf0(sziznziztdt0(W0)) = aDimensionOf0(sziznziztdt0(W1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEqInit) ).
tff(c_180,plain,
~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(cnfTransformation,[status(thm)],[f_385]) ).
tff(c_126,plain,
aVector0(xp),
inference(cnfTransformation,[status(thm)],[f_344]) ).
tff(c_130,plain,
aVector0(xq),
inference(cnfTransformation,[status(thm)],[f_347]) ).
tff(c_90,plain,
! [W0_55] :
( aNaturalNumber0(aDimensionOf0(W0_55))
| ~ aVector0(W0_55) ),
inference(cnfTransformation,[status(thm)],[f_258]) ).
tff(c_122,plain,
aDimensionOf0(xs) != sz00,
inference(cnfTransformation,[status(thm)],[f_341]) ).
tff(c_116,plain,
aVector0(xs),
inference(cnfTransformation,[status(thm)],[f_328]) ).
tff(c_124,plain,
sziznziztdt0(xs) = xp,
inference(cnfTransformation,[status(thm)],[f_344]) ).
tff(c_1285,plain,
! [W0_111] :
( ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(W0_111))) = aDimensionOf0(W0_111) )
| ( aDimensionOf0(W0_111) = sz00 )
| ~ aVector0(W0_111) ),
inference(cnfTransformation,[status(thm)],[f_281]) ).
tff(c_1310,plain,
( ( szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs) )
| ( aDimensionOf0(xs) = sz00 )
| ~ aVector0(xs) ),
inference(superposition,[status(thm),theory(equality)],[c_124,c_1285]) ).
tff(c_1317,plain,
( ( szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs) )
| ( aDimensionOf0(xs) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_116,c_1310]) ).
tff(c_1318,plain,
szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs),
inference(negUnitSimplification,[status(thm)],[c_122,c_1317]) ).
tff(c_18,plain,
! [W0_9] :
( iLess0(W0_9,szszuzczcdt0(W0_9))
| ~ aNaturalNumber0(W0_9) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_1335,plain,
( iLess0(aDimensionOf0(xp),aDimensionOf0(xs))
| ~ aNaturalNumber0(aDimensionOf0(xp)) ),
inference(superposition,[status(thm),theory(equality)],[c_1318,c_18]) ).
tff(c_1820,plain,
~ aNaturalNumber0(aDimensionOf0(xp)),
inference(splitLeft,[status(thm)],[c_1335]) ).
tff(c_1823,plain,
~ aVector0(xp),
inference(resolution,[status(thm)],[c_90,c_1820]) ).
tff(c_1827,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_126,c_1823]) ).
tff(c_1828,plain,
iLess0(aDimensionOf0(xp),aDimensionOf0(xs)),
inference(splitRight,[status(thm)],[c_1335]) ).
tff(c_144,plain,
sdtasasdt0(xq,xq) = xD,
inference(cnfTransformation,[status(thm)],[f_359]) ).
tff(c_148,plain,
sdtasasdt0(xp,xq) = xE,
inference(cnfTransformation,[status(thm)],[f_362]) ).
tff(c_140,plain,
sdtasasdt0(xp,xp) = xC,
inference(cnfTransformation,[status(thm)],[f_356]) ).
tff(c_13999,plain,
! [W0_185,W1_186] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(W0_185,W1_186),sdtasasdt0(W0_185,W1_186)),sdtasdt0(sdtasasdt0(W0_185,W0_185),sdtasasdt0(W1_186,W1_186)))
| ~ iLess0(aDimensionOf0(W0_185),aDimensionOf0(xs))
| ( aDimensionOf0(W1_186) != aDimensionOf0(W0_185) )
| ~ aVector0(W1_186)
| ~ aVector0(W0_185) ),
inference(cnfTransformation,[status(thm)],[f_338]) ).
tff(c_14018,plain,
( sdtlseqdt0(sdtasdt0(xE,sdtasasdt0(xp,xq)),sdtasdt0(sdtasasdt0(xp,xp),sdtasasdt0(xq,xq)))
| ~ iLess0(aDimensionOf0(xp),aDimensionOf0(xs))
| ( aDimensionOf0(xq) != aDimensionOf0(xp) )
| ~ aVector0(xq)
| ~ aVector0(xp) ),
inference(superposition,[status(thm),theory(equality)],[c_148,c_13999]) ).
tff(c_14047,plain,
( sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD))
| ( aDimensionOf0(xq) != aDimensionOf0(xp) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_126,c_130,c_1828,c_144,c_148,c_140,c_14018]) ).
tff(c_14048,plain,
aDimensionOf0(xq) != aDimensionOf0(xp),
inference(negUnitSimplification,[status(thm)],[c_180,c_14047]) ).
tff(c_114,plain,
aVector0(xt),
inference(cnfTransformation,[status(thm)],[f_328]) ).
tff(c_120,plain,
aDimensionOf0(xt) = aDimensionOf0(xs),
inference(cnfTransformation,[status(thm)],[f_339]) ).
tff(c_128,plain,
sziznziztdt0(xt) = xq,
inference(cnfTransformation,[status(thm)],[f_347]) ).
tff(c_6807,plain,
! [W1_159,W0_160] :
( ( aDimensionOf0(sziznziztdt0(W1_159)) = aDimensionOf0(sziznziztdt0(W0_160)) )
| ( aDimensionOf0(W1_159) = sz00 )
| ( aDimensionOf0(W1_159) != aDimensionOf0(W0_160) )
| ~ aVector0(W1_159)
| ~ aVector0(W0_160) ),
inference(cnfTransformation,[status(thm)],[f_292]) ).
tff(c_6852,plain,
! [W0_160] :
( ( aDimensionOf0(sziznziztdt0(W0_160)) = aDimensionOf0(xp) )
| ( aDimensionOf0(xs) = sz00 )
| ( aDimensionOf0(xs) != aDimensionOf0(W0_160) )
| ~ aVector0(xs)
| ~ aVector0(W0_160) ),
inference(superposition,[status(thm),theory(equality)],[c_124,c_6807]) ).
tff(c_6863,plain,
! [W0_160] :
( ( aDimensionOf0(sziznziztdt0(W0_160)) = aDimensionOf0(xp) )
| ( aDimensionOf0(xs) = sz00 )
| ( aDimensionOf0(xs) != aDimensionOf0(W0_160) )
| ~ aVector0(W0_160) ),
inference(demodulation,[status(thm),theory(equality)],[c_116,c_6852]) ).
tff(c_62281,plain,
! [W0_240] :
( ( aDimensionOf0(sziznziztdt0(W0_240)) = aDimensionOf0(xp) )
| ( aDimensionOf0(xs) != aDimensionOf0(W0_240) )
| ~ aVector0(W0_240) ),
inference(negUnitSimplification,[status(thm)],[c_122,c_6863]) ).
tff(c_62320,plain,
( ( aDimensionOf0(xq) = aDimensionOf0(xp) )
| ( aDimensionOf0(xt) != aDimensionOf0(xs) )
| ~ aVector0(xt) ),
inference(superposition,[status(thm),theory(equality)],[c_128,c_62281]) ).
tff(c_62331,plain,
aDimensionOf0(xq) = aDimensionOf0(xp),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_120,c_62320]) ).
tff(c_62333,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14048,c_62331]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG052+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
% 0.14/0.35 % Computer : n008.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 17:57:33 EDT 2023
% 0.14/0.35 % CPUTime :
% 29.79/17.07 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.79/17.08
% 29.79/17.08 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 29.79/17.11
% 29.79/17.11 Inference rules
% 29.79/17.11 ----------------------
% 29.79/17.11 #Ref : 3
% 29.79/17.11 #Sup : 14190
% 29.79/17.11 #Fact : 2
% 29.79/17.11 #Define : 0
% 29.79/17.11 #Split : 16
% 29.79/17.11 #Chain : 0
% 29.79/17.11 #Close : 0
% 29.79/17.11
% 29.79/17.11 Ordering : KBO
% 29.79/17.11
% 29.79/17.11 Simplification rules
% 29.79/17.11 ----------------------
% 29.79/17.11 #Subsume : 134
% 29.79/17.11 #Demod : 15169
% 29.79/17.11 #Tautology : 3126
% 29.79/17.11 #SimpNegUnit : 79
% 29.79/17.11 #BackRed : 61
% 29.79/17.11
% 29.79/17.11 #Partial instantiations: 0
% 29.79/17.11 #Strategies tried : 1
% 29.79/17.11
% 29.79/17.11 Timing (in seconds)
% 29.79/17.11 ----------------------
% 29.79/17.11 Preprocessing : 0.69
% 29.79/17.11 Parsing : 0.35
% 29.79/17.11 CNF conversion : 0.05
% 29.79/17.11 Main loop : 15.37
% 29.79/17.11 Inferencing : 1.86
% 29.79/17.11 Reduction : 9.56
% 29.79/17.11 Demodulation : 8.65
% 29.79/17.11 BG Simplification : 0.16
% 29.79/17.11 Subsumption : 3.09
% 29.79/17.11 Abstraction : 0.23
% 29.79/17.11 MUC search : 0.00
% 29.79/17.11 Cooper : 0.00
% 29.79/17.11 Total : 16.10
% 29.79/17.11 Index Insertion : 0.00
% 29.79/17.11 Index Deletion : 0.00
% 29.79/17.11 Index Matching : 0.00
% 29.79/17.11 BG Taut test : 0.00
%------------------------------------------------------------------------------