TSTP Solution File: RNG061+2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : RNG061+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 : n032.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 10:54:50 EDT 2023
% Result : Theorem 33.92s 21.92s
% Output : CNFRefutation 34.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 48
% Syntax : Number of formulae : 88 ( 26 unt; 33 typ; 0 def)
% Number of atoms : 109 ( 29 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 89 ( 35 ~; 27 |; 19 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 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 : 30 (; 30 !; 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_397,hypothesis,
( aScalar0(xN)
& ( xN = sdtasdt0(xR,xS) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1949) ).
tff(f_394,hypothesis,
( aScalar0(xS)
& ( xS = sdtasdt0(xF,xD) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).
tff(f_86,axiom,
! [W0] :
( aScalar0(W0)
=> aScalar0(smndt0(W0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNegSc) ).
tff(f_388,hypothesis,
( aScalar0(xR)
& ( xR = sdtasdt0(xC,xG) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).
tff(f_404,hypothesis,
( ( sdtasdt0(xR,smndt0(xS)) = smndt0(xN) )
& ( sdtasdt0(smndt0(xS),xR) = smndt0(xN) )
& ( sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2144) ).
tff(f_82,axiom,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> aScalar0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).
tff(f_405,hypothesis,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2180) ).
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_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(f_407,negated_conjecture,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
tff(c_186,plain,
aScalar0(xN),
inference(cnfTransformation,[status(thm)],[f_397]) ).
tff(c_182,plain,
aScalar0(xS),
inference(cnfTransformation,[status(thm)],[f_394]) ).
tff(c_28,plain,
! [W0_15] :
( aScalar0(smndt0(W0_15))
| ~ aScalar0(W0_15) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_174,plain,
aScalar0(xR),
inference(cnfTransformation,[status(thm)],[f_388]) ).
tff(c_196,plain,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(cnfTransformation,[status(thm)],[f_404]) ).
tff(c_864,plain,
! [W0_97,W1_98] :
( aScalar0(sdtasdt0(W0_97,W1_98))
| ~ aScalar0(W1_98)
| ~ aScalar0(W0_97) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_912,plain,
( aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(xR) ),
inference(superposition,[status(thm),theory(equality)],[c_196,c_864]) ).
tff(c_1006,plain,
( aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xS)) ),
inference(demodulation,[status(thm),theory(equality)],[c_174,c_912]) ).
tff(c_1104,plain,
~ aScalar0(smndt0(xS)),
inference(splitLeft,[status(thm)],[c_1006]) ).
tff(c_1107,plain,
~ aScalar0(xS),
inference(resolution,[status(thm)],[c_28,c_1104]) ).
tff(c_1111,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_182,c_1107]) ).
tff(c_1113,plain,
aScalar0(smndt0(xS)),
inference(splitRight,[status(thm)],[c_1006]) ).
tff(c_192,plain,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
inference(cnfTransformation,[status(thm)],[f_404]) ).
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_1504,plain,
( aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm),theory(equality)],[c_192,c_26]) ).
tff(c_1511,plain,
aScalar0(sdtasdt0(xS,xS)),
inference(demodulation,[status(thm),theory(equality)],[c_1113,c_1113,c_1504]) ).
tff(c_198,plain,
sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))) = sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),
inference(cnfTransformation,[status(thm)],[f_405]) ).
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_2755,plain,
! [W2_19] : ~ aScalar0(W2_19),
inference(splitLeft,[status(thm)],[c_50]) ).
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_621,plain,
! [W0_90] :
( iLess0(W0_90,szszuzczcdt0(W0_90))
| ~ aNaturalNumber0(W0_90) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_627,plain,
( iLess0(aDimensionOf0(xp),aDimensionOf0(xs))
| ~ aNaturalNumber0(aDimensionOf0(xp)) ),
inference(superposition,[status(thm),theory(equality)],[c_128,c_621]) ).
tff(c_1749,plain,
~ aNaturalNumber0(aDimensionOf0(xp)),
inference(splitLeft,[status(thm)],[c_627]) ).
tff(c_1789,plain,
~ aVector0(xp),
inference(resolution,[status(thm)],[c_90,c_1749]) ).
tff(c_1793,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_130,c_1789]) ).
tff(c_1795,plain,
aNaturalNumber0(aDimensionOf0(xp)),
inference(splitRight,[status(thm)],[c_627]) ).
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_1806,plain,
sdtlbdtrb0(xt,aDimensionOf0(xp)) = sdtlbdtrb0(xq,aDimensionOf0(xp)),
inference(resolution,[status(thm)],[c_1795,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_1965,plain,
( aScalar0(sdtlbdtrb0(xq,aDimensionOf0(xp)))
| ~ aNaturalNumber0(aDimensionOf0(xp))
| ~ aVector0(xt) ),
inference(superposition,[status(thm),theory(equality)],[c_1806,c_92]) ).
tff(c_1969,plain,
aScalar0(sdtlbdtrb0(xq,aDimensionOf0(xp))),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_1795,c_1965]) ).
tff(c_2779,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2755,c_1969]) ).
tff(c_2842,plain,
! [W1_130,W0_131] :
( ( sdtpldt0(W1_130,W0_131) = sdtpldt0(W0_131,W1_130) )
| ~ aScalar0(W1_130)
| ~ aScalar0(W0_131) ),
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_75578,plain,
! [W0_256,W0_257] :
( ( sdtpldt0(smndt0(W0_256),W0_257) = sdtpldt0(W0_257,smndt0(W0_256)) )
| ~ aScalar0(W0_257)
| ~ aScalar0(W0_256) ),
inference(resolution,[status(thm)],[c_28,c_2842]) ).
tff(c_200,plain,
sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))) != sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_75693,plain,
( ( sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))) != sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) )
| ~ aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(xN) ),
inference(superposition,[status(thm),theory(equality)],[c_75578,c_200]) ).
tff(c_75818,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_186,c_1511,c_198,c_75693]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : RNG061+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11 % 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
% 0.09/0.31 % Computer : n032.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Thu Aug 3 18:02:51 EDT 2023
% 0.09/0.31 % CPUTime :
% 33.92/21.92 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 33.98/21.93
% 33.98/21.93 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 34.05/21.96
% 34.05/21.96 Inference rules
% 34.05/21.96 ----------------------
% 34.05/21.96 #Ref : 3
% 34.05/21.96 #Sup : 16903
% 34.05/21.96 #Fact : 2
% 34.05/21.96 #Define : 0
% 34.05/21.96 #Split : 19
% 34.05/21.96 #Chain : 0
% 34.05/21.96 #Close : 0
% 34.05/21.96
% 34.05/21.96 Ordering : KBO
% 34.05/21.96
% 34.05/21.96 Simplification rules
% 34.05/21.96 ----------------------
% 34.05/21.96 #Subsume : 169
% 34.05/21.96 #Demod : 22618
% 34.05/21.96 #Tautology : 4609
% 34.05/21.96 #SimpNegUnit : 80
% 34.05/21.96 #BackRed : 65
% 34.05/21.96
% 34.05/21.96 #Partial instantiations: 0
% 34.05/21.96 #Strategies tried : 1
% 34.05/21.96
% 34.05/21.96 Timing (in seconds)
% 34.05/21.96 ----------------------
% 34.05/21.96 Preprocessing : 0.67
% 34.05/21.96 Parsing : 0.34
% 34.05/21.96 CNF conversion : 0.05
% 34.05/21.96 Main loop : 20.36
% 34.05/21.96 Inferencing : 2.22
% 34.05/21.96 Reduction : 13.33
% 34.05/21.96 Demodulation : 12.14
% 34.05/21.96 BG Simplification : 0.19
% 34.05/21.96 Subsumption : 3.87
% 34.05/21.96 Abstraction : 0.31
% 34.05/21.96 MUC search : 0.00
% 34.05/21.96 Cooper : 0.00
% 34.05/21.96 Total : 21.08
% 34.05/21.96 Index Insertion : 0.00
% 34.05/21.96 Index Deletion : 0.00
% 34.05/21.96 Index Matching : 0.00
% 34.05/21.96 BG Taut test : 0.00
%------------------------------------------------------------------------------