TSTP Solution File: RNG059+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : RNG059+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 : n007.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 13.75s 4.73s
% Output : CNFRefutation 13.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 41
% Syntax : Number of formulae : 67 ( 17 unt; 33 typ; 0 def)
% Number of atoms : 69 ( 25 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 61 ( 26 ~; 20 |; 12 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 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 : 25 (; 25 !; 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_383,hypothesis,
( aScalar0(xN)
& ( xN = sdtasdt0(xR,xS) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1949) ).
tff(f_380,hypothesis,
( aScalar0(xS)
& ( xS = sdtasdt0(xF,xD) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).
tff(f_374,hypothesis,
( aScalar0(xR)
& ( xR = sdtasdt0(xC,xG) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',mArith) ).
tff(f_353,hypothesis,
( aScalar0(xB)
& ( xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1766) ).
tff(f_76,axiom,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> aScalar0(sdtpldt0(W0,W1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSumSc) ).
tff(f_146,axiom,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> ( ( sdtasdt0(W0,smndt0(W1)) = smndt0(sdtasdt0(W0,W1)) )
& ( sdtasdt0(smndt0(W0),W1) = smndt0(sdtasdt0(W0,W1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMNeg) ).
tff(f_387,negated_conjecture,
sdtasdt0(smndt0(xS),xR) != smndt0(xN),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(c_176,plain,
sdtasdt0(xR,xS) = xN,
inference(cnfTransformation,[status(thm)],[f_383]) ).
tff(c_174,plain,
aScalar0(xS),
inference(cnfTransformation,[status(thm)],[f_380]) ).
tff(c_166,plain,
aScalar0(xR),
inference(cnfTransformation,[status(thm)],[f_374]) ).
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_2394,plain,
! [W2_19] : ~ aScalar0(W2_19),
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_178,plain,
aScalar0(xN),
inference(cnfTransformation,[status(thm)],[f_383]) ).
tff(c_138,plain,
aScalar0(xB),
inference(cnfTransformation,[status(thm)],[f_353]) ).
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_2139,plain,
! [W2_19] : ~ aScalar0(W2_19),
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_2157,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2139,c_138]) ).
tff(c_2159,plain,
! [W1_125,W0_126] :
( ( sdtpldt0(W1_125,W0_126) = sdtpldt0(W0_126,W1_125) )
| ~ aScalar0(W1_125)
| ~ aScalar0(W0_126) ),
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_2211,plain,
! [W0_127] :
( ( sdtpldt0(xB,W0_127) = sdtpldt0(W0_127,xB) )
| ~ aScalar0(W0_127) ),
inference(resolution,[status(thm)],[c_138,c_2159]) ).
tff(c_2281,plain,
sdtpldt0(xN,xB) = sdtpldt0(xB,xN),
inference(resolution,[status(thm)],[c_178,c_2211]) ).
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_2363,plain,
( aScalar0(sdtpldt0(xB,xN))
| ~ aScalar0(xB)
| ~ aScalar0(xN) ),
inference(superposition,[status(thm),theory(equality)],[c_2281,c_24]) ).
tff(c_2369,plain,
aScalar0(sdtpldt0(xB,xN)),
inference(demodulation,[status(thm),theory(equality)],[c_178,c_138,c_2363]) ).
tff(c_2414,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2394,c_2369]) ).
tff(c_2490,plain,
! [W1_130,W0_131] :
( ( sdtasdt0(W1_130,W0_131) = sdtasdt0(W0_131,W1_130) )
| ~ aScalar0(W1_130)
| ~ aScalar0(W0_131) ),
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_14608,plain,
! [W0_196] :
( ( sdtasdt0(xR,W0_196) = sdtasdt0(W0_196,xR) )
| ~ aScalar0(W0_196) ),
inference(resolution,[status(thm)],[c_166,c_2490]) ).
tff(c_14770,plain,
sdtasdt0(xS,xR) = sdtasdt0(xR,xS),
inference(resolution,[status(thm)],[c_174,c_14608]) ).
tff(c_14850,plain,
sdtasdt0(xS,xR) = xN,
inference(demodulation,[status(thm),theory(equality)],[c_176,c_14770]) ).
tff(c_2715,plain,
! [W0_134,W1_135] :
( ( sdtasdt0(smndt0(W0_134),W1_135) = smndt0(sdtasdt0(W0_134,W1_135)) )
| ~ aScalar0(W1_135)
| ~ aScalar0(W0_134) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_184,plain,
sdtasdt0(smndt0(xS),xR) != smndt0(xN),
inference(cnfTransformation,[status(thm)],[f_387]) ).
tff(c_2742,plain,
( ( smndt0(sdtasdt0(xS,xR)) != smndt0(xN) )
| ~ aScalar0(xR)
| ~ aScalar0(xS) ),
inference(superposition,[status(thm),theory(equality)],[c_2715,c_184]) ).
tff(c_2762,plain,
smndt0(sdtasdt0(xS,xR)) != smndt0(xN),
inference(demodulation,[status(thm),theory(equality)],[c_174,c_166,c_2742]) ).
tff(c_14863,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14850,c_2762]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG059+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
% 0.14/0.36 % Computer : n007.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 17:52:23 EDT 2023
% 0.14/0.36 % CPUTime :
% 13.75/4.73 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.75/4.73
% 13.75/4.73 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 13.75/4.76
% 13.75/4.76 Inference rules
% 13.75/4.76 ----------------------
% 13.75/4.76 #Ref : 3
% 13.75/4.76 #Sup : 3352
% 13.75/4.76 #Fact : 2
% 13.75/4.76 #Define : 0
% 13.75/4.76 #Split : 13
% 13.75/4.76 #Chain : 0
% 13.75/4.76 #Close : 0
% 13.75/4.76
% 13.75/4.76 Ordering : KBO
% 13.75/4.76
% 13.75/4.76 Simplification rules
% 13.75/4.76 ----------------------
% 13.75/4.76 #Subsume : 124
% 13.75/4.76 #Demod : 4170
% 13.75/4.76 #Tautology : 927
% 13.75/4.76 #SimpNegUnit : 96
% 13.75/4.76 #BackRed : 72
% 13.75/4.76
% 13.75/4.76 #Partial instantiations: 0
% 13.75/4.76 #Strategies tried : 1
% 13.75/4.76
% 13.75/4.76 Timing (in seconds)
% 13.75/4.76 ----------------------
% 13.75/4.76 Preprocessing : 0.72
% 13.75/4.76 Parsing : 0.37
% 13.75/4.76 CNF conversion : 0.05
% 13.75/4.76 Main loop : 2.97
% 13.75/4.76 Inferencing : 0.70
% 13.75/4.76 Reduction : 1.43
% 13.75/4.76 Demodulation : 1.19
% 13.75/4.76 BG Simplification : 0.09
% 13.75/4.76 Subsumption : 0.60
% 13.75/4.76 Abstraction : 0.10
% 13.75/4.76 MUC search : 0.00
% 13.75/4.76 Cooper : 0.00
% 13.75/4.76 Total : 3.73
% 13.75/4.76 Index Insertion : 0.00
% 13.75/4.76 Index Deletion : 0.00
% 13.75/4.76 Index Matching : 0.00
% 13.75/4.76 BG Taut test : 0.00
%------------------------------------------------------------------------------