TSTP Solution File: RNG055+2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : RNG055+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 : 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 10:54:49 EDT 2023
% Result : Theorem 38.88s 26.65s
% Output : CNFRefutation 38.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 45
% Syntax : Number of formulae : 102 ( 37 unt; 33 typ; 0 def)
% Number of atoms : 130 ( 41 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 119 ( 58 ~; 41 |; 14 &)
% ( 0 <=>; 6 =>; 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 : 36 (; 36 !; 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_376,hypothesis,
( aScalar0(xE)
& ( xE = sdtasasdt0(xp,xq) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1820) ).
tff(f_385,hypothesis,
( aScalar0(xH)
& ( xH = sdtasdt0(xA,xB) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1873) ).
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_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_258,axiom,
! [W0] :
( aVector0(W0)
=> aNaturalNumber0(aDimensionOf0(W0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDimNat) ).
tff(f_339,hypothesis,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1678_01) ).
tff(f_66,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> iLess0(W0,szszuzczcdt0(W0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH) ).
tff(f_264,axiom,
! [W0,W1] :
( ( aVector0(W0)
& aNaturalNumber0(W1) )
=> aScalar0(sdtlbdtrb0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mElmSc) ).
tff(f_82,axiom,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> aScalar0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).
tff(f_400,negated_conjecture,
sdtasdt0(xP,xP) != sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
tff(c_178,plain,
aScalar0(xP),
inference(cnfTransformation,[status(thm)],[f_391]) ).
tff(c_158,plain,
aScalar0(xE),
inference(cnfTransformation,[status(thm)],[f_376]) ).
tff(c_170,plain,
aScalar0(xH),
inference(cnfTransformation,[status(thm)],[f_385]) ).
tff(c_176,plain,
sdtasdt0(xE,xH) = xP,
inference(cnfTransformation,[status(thm)],[f_391]) ).
tff(c_3576,plain,
! [W0_148,W1_149,W2_150] :
( ( sdtasdt0(sdtasdt0(W0_148,W1_149),W2_150) = sdtasdt0(W0_148,sdtasdt0(W1_149,W2_150)) )
| ~ aScalar0(W2_150)
| ~ aScalar0(W1_149)
| ~ aScalar0(W0_148) ),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_3882,plain,
! [W2_150] :
( ( sdtasdt0(xE,sdtasdt0(xH,W2_150)) = sdtasdt0(xP,W2_150) )
| ~ aScalar0(W2_150)
| ~ aScalar0(xH)
| ~ aScalar0(xE) ),
inference(superposition,[status(thm),theory(equality)],[c_176,c_3576]) ).
tff(c_4065,plain,
! [W2_150] :
( ( sdtasdt0(xE,sdtasdt0(xH,W2_150)) = sdtasdt0(xP,W2_150) )
| ~ aScalar0(W2_150) ),
inference(demodulation,[status(thm),theory(equality)],[c_158,c_170,c_3882]) ).
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_1663,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_138,plain,
aVector0(xq),
inference(cnfTransformation,[status(thm)],[f_361]) ).
tff(c_90,plain,
! [W0_55] :
( aNaturalNumber0(aDimensionOf0(W0_55))
| ~ aVector0(W0_55) ),
inference(cnfTransformation,[status(thm)],[f_258]) ).
tff(c_120,plain,
aDimensionOf0(xt) = aDimensionOf0(xs),
inference(cnfTransformation,[status(thm)],[f_339]) ).
tff(c_136,plain,
szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt),
inference(cnfTransformation,[status(thm)],[f_361]) ).
tff(c_192,plain,
szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xs),
inference(demodulation,[status(thm),theory(equality)],[c_120,c_136]) ).
tff(c_491,plain,
! [W0_89] :
( iLess0(W0_89,szszuzczcdt0(W0_89))
| ~ aNaturalNumber0(W0_89) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_494,plain,
( iLess0(aDimensionOf0(xq),aDimensionOf0(xs))
| ~ aNaturalNumber0(aDimensionOf0(xq)) ),
inference(superposition,[status(thm),theory(equality)],[c_192,c_491]) ).
tff(c_1510,plain,
~ aNaturalNumber0(aDimensionOf0(xq)),
inference(splitLeft,[status(thm)],[c_494]) ).
tff(c_1513,plain,
~ aVector0(xq),
inference(resolution,[status(thm)],[c_90,c_1510]) ).
tff(c_1517,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_138,c_1513]) ).
tff(c_1519,plain,
aNaturalNumber0(aDimensionOf0(xq)),
inference(splitRight,[status(thm)],[c_494]) ).
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_1529,plain,
sdtlbdtrb0(xt,aDimensionOf0(xq)) = sdtlbdtrb0(xq,aDimensionOf0(xq)),
inference(resolution,[status(thm)],[c_1519,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_1641,plain,
( aScalar0(sdtlbdtrb0(xq,aDimensionOf0(xq)))
| ~ aNaturalNumber0(aDimensionOf0(xq))
| ~ aVector0(xt) ),
inference(superposition,[status(thm),theory(equality)],[c_1529,c_92]) ).
tff(c_1645,plain,
aScalar0(sdtlbdtrb0(xq,aDimensionOf0(xq))),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_1519,c_1641]) ).
tff(c_1684,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1663,c_1645]) ).
tff(c_1781,plain,
! [W1_121,W0_122] :
( ( sdtasdt0(W1_121,W0_122) = sdtasdt0(W0_122,W1_121) )
| ~ aScalar0(W1_121)
| ~ aScalar0(W0_122) ),
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_19295,plain,
! [W0_193] :
( ( sdtasdt0(xH,W0_193) = sdtasdt0(W0_193,xH) )
| ~ aScalar0(W0_193) ),
inference(resolution,[status(thm)],[c_170,c_1781]) ).
tff(c_19517,plain,
sdtasdt0(xH,xE) = sdtasdt0(xE,xH),
inference(resolution,[status(thm)],[c_158,c_19295]) ).
tff(c_19604,plain,
sdtasdt0(xH,xE) = xP,
inference(demodulation,[status(thm),theory(equality)],[c_176,c_19517]) ).
tff(c_48,plain,
! [W0_17,W1_18,W2_19] :
( ( sdtasdt0(sdtasdt0(W0_17,W1_18),W2_19) = sdtasdt0(W0_17,sdtasdt0(W1_18,W2_19)) )
| ~ aScalar0(W2_19)
| ~ aScalar0(W1_18)
| ~ aScalar0(W0_17) ),
inference(cnfTransformation,[status(thm)],[f_118]) ).
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_190,plain,
sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) != sdtasdt0(xP,xP),
inference(cnfTransformation,[status(thm)],[f_400]) ).
tff(c_3629,plain,
( ( sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))) != sdtasdt0(xP,xP) )
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(xH)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm),theory(equality)],[c_3576,c_190]) ).
tff(c_3908,plain,
( ( sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))) != sdtasdt0(xP,xP) )
| ~ aScalar0(sdtasdt0(xE,xE)) ),
inference(demodulation,[status(thm),theory(equality)],[c_170,c_170,c_3629]) ).
tff(c_4632,plain,
~ aScalar0(sdtasdt0(xE,xE)),
inference(splitLeft,[status(thm)],[c_3908]) ).
tff(c_4635,plain,
~ aScalar0(xE),
inference(resolution,[status(thm)],[c_26,c_4632]) ).
tff(c_4639,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_158,c_4635]) ).
tff(c_4641,plain,
aScalar0(sdtasdt0(xE,xE)),
inference(splitRight,[status(thm)],[c_3908]) ).
tff(c_1685,plain,
! [W1_18,W0_17] :
( ( sdtasdt0(W1_18,W0_17) = sdtasdt0(W0_17,W1_18) )
| ~ aScalar0(W1_18)
| ~ aScalar0(W0_17) ),
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_9488,plain,
! [W0_174] :
( ( sdtasdt0(sdtasdt0(xE,xE),W0_174) = sdtasdt0(W0_174,sdtasdt0(xE,xE)) )
| ~ aScalar0(W0_174) ),
inference(resolution,[status(thm)],[c_4641,c_1685]) ).
tff(c_9576,plain,
( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xH)) != sdtasdt0(xP,xP) )
| ~ aScalar0(sdtasdt0(xH,xH)) ),
inference(superposition,[status(thm),theory(equality)],[c_9488,c_190]) ).
tff(c_10108,plain,
~ aScalar0(sdtasdt0(xH,xH)),
inference(splitLeft,[status(thm)],[c_9576]) ).
tff(c_10111,plain,
~ aScalar0(xH),
inference(resolution,[status(thm)],[c_26,c_10108]) ).
tff(c_10115,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_170,c_10111]) ).
tff(c_10117,plain,
aScalar0(sdtasdt0(xH,xH)),
inference(splitRight,[status(thm)],[c_9576]) ).
tff(c_29308,plain,
! [W0_204] :
( ( sdtasdt0(xE,W0_204) = sdtasdt0(W0_204,xE) )
| ~ aScalar0(W0_204) ),
inference(resolution,[status(thm)],[c_158,c_1781]) ).
tff(c_29710,plain,
sdtasdt0(sdtasdt0(xH,xH),xE) = sdtasdt0(xE,sdtasdt0(xH,xH)),
inference(resolution,[status(thm)],[c_10117,c_29308]) ).
tff(c_30020,plain,
( ( sdtasdt0(xH,sdtasdt0(xH,xE)) = sdtasdt0(xE,sdtasdt0(xH,xH)) )
| ~ aScalar0(xE)
| ~ aScalar0(xH)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm),theory(equality)],[c_48,c_29710]) ).
tff(c_30052,plain,
sdtasdt0(xE,sdtasdt0(xH,xH)) = sdtasdt0(xH,xP),
inference(demodulation,[status(thm),theory(equality)],[c_170,c_170,c_158,c_19604,c_30020]) ).
tff(c_10116,plain,
sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xH)) != sdtasdt0(xP,xP),
inference(splitRight,[status(thm)],[c_9576]) ).
tff(c_10464,plain,
( ( sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))) != sdtasdt0(xP,xP) )
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(xE)
| ~ aScalar0(xE) ),
inference(superposition,[status(thm),theory(equality)],[c_48,c_10116]) ).
tff(c_10466,plain,
sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))) != sdtasdt0(xP,xP),
inference(demodulation,[status(thm),theory(equality)],[c_158,c_158,c_10117,c_10464]) ).
tff(c_82808,plain,
sdtasdt0(xE,sdtasdt0(xH,xP)) != sdtasdt0(xP,xP),
inference(demodulation,[status(thm),theory(equality)],[c_30052,c_10466]) ).
tff(c_83798,plain,
~ aScalar0(xP),
inference(superposition,[status(thm),theory(equality)],[c_4065,c_82808]) ).
tff(c_83802,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_178,c_83798]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : RNG055+2 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.15 % 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
% 0.14/0.37 % Computer : n031.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Thu Aug 3 18:21:00 EDT 2023
% 0.14/0.37 % CPUTime :
% 38.88/26.65 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 38.88/26.66
% 38.88/26.66 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 38.88/26.70
% 38.88/26.70 Inference rules
% 38.88/26.70 ----------------------
% 38.88/26.70 #Ref : 3
% 38.88/26.70 #Sup : 18607
% 38.88/26.70 #Fact : 2
% 38.88/26.70 #Define : 0
% 38.88/26.70 #Split : 17
% 38.88/26.70 #Chain : 0
% 38.88/26.70 #Close : 0
% 38.88/26.70
% 38.88/26.70 Ordering : KBO
% 38.88/26.70
% 38.88/26.70 Simplification rules
% 38.88/26.70 ----------------------
% 38.88/26.70 #Subsume : 202
% 38.88/26.70 #Demod : 24657
% 38.88/26.70 #Tautology : 5189
% 38.88/26.70 #SimpNegUnit : 70
% 38.88/26.70 #BackRed : 67
% 38.88/26.70
% 38.88/26.70 #Partial instantiations: 0
% 38.88/26.70 #Strategies tried : 1
% 38.88/26.70
% 38.88/26.70 Timing (in seconds)
% 38.88/26.70 ----------------------
% 39.12/26.70 Preprocessing : 0.67
% 39.12/26.70 Parsing : 0.35
% 39.12/26.70 CNF conversion : 0.05
% 39.12/26.70 Main loop : 24.97
% 39.12/26.70 Inferencing : 2.67
% 39.12/26.70 Reduction : 16.21
% 39.12/26.70 Demodulation : 14.89
% 39.12/26.70 BG Simplification : 0.19
% 39.12/26.70 Subsumption : 4.77
% 39.12/26.70 Abstraction : 0.30
% 39.12/26.70 MUC search : 0.00
% 39.12/26.70 Cooper : 0.00
% 39.12/26.70 Total : 25.69
% 39.12/26.70 Index Insertion : 0.00
% 39.12/26.70 Index Deletion : 0.00
% 39.12/26.70 Index Matching : 0.00
% 39.12/26.70 BG Taut test : 0.00
%------------------------------------------------------------------------------