TSTP Solution File: RNG055+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : RNG055+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 : n029.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 55.56s 42.26s
% Output : CNFRefutation 55.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 40
% Syntax : Number of formulae : 81 ( 26 unt; 33 typ; 0 def)
% Number of atoms : 93 ( 33 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 93 ( 48 ~; 33 |; 10 &)
% ( 0 <=>; 2 =>; 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 : 26 (; 26 !; 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_377,hypothesis,
( aScalar0(xP)
& ( xP = sdtasdt0(xE,xH) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).
tff(f_362,hypothesis,
( aScalar0(xE)
& ( xE = sdtasasdt0(xp,xq) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1820) ).
tff(f_371,hypothesis,
( aScalar0(xH)
& ( xH = sdtasdt0(xA,xB) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',mArith) ).
tff(f_368,hypothesis,
( aScalar0(xG)
& ( xG = sdtasdt0(xB,xB) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1854) ).
tff(f_82,axiom,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> aScalar0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
tff(f_386,negated_conjecture,
sdtasdt0(xP,xP) != sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(c_170,plain,
aScalar0(xP),
inference(cnfTransformation,[status(thm)],[f_377]) ).
tff(c_150,plain,
aScalar0(xE),
inference(cnfTransformation,[status(thm)],[f_362]) ).
tff(c_162,plain,
aScalar0(xH),
inference(cnfTransformation,[status(thm)],[f_371]) ).
tff(c_168,plain,
sdtasdt0(xE,xH) = xP,
inference(cnfTransformation,[status(thm)],[f_377]) ).
tff(c_3234,plain,
! [W0_146,W1_147,W2_148] :
( ( sdtasdt0(sdtasdt0(W0_146,W1_147),W2_148) = sdtasdt0(W0_146,sdtasdt0(W1_147,W2_148)) )
| ~ aScalar0(W2_148)
| ~ aScalar0(W1_147)
| ~ aScalar0(W0_146) ),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_3480,plain,
! [W2_148] :
( ( sdtasdt0(xE,sdtasdt0(xH,W2_148)) = sdtasdt0(xP,W2_148) )
| ~ aScalar0(W2_148)
| ~ aScalar0(xH)
| ~ aScalar0(xE) ),
inference(superposition,[status(thm),theory(equality)],[c_168,c_3234]) ).
tff(c_3623,plain,
! [W2_148] :
( ( sdtasdt0(xE,sdtasdt0(xH,W2_148)) = sdtasdt0(xP,W2_148) )
| ~ aScalar0(W2_148) ),
inference(demodulation,[status(thm),theory(equality)],[c_150,c_162,c_3480]) ).
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_1448,plain,
! [W2_19] : ~ aScalar0(W2_19),
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_158,plain,
aScalar0(xG),
inference(cnfTransformation,[status(thm)],[f_368]) ).
tff(c_1466,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1448,c_158]) ).
tff(c_1515,plain,
! [W1_117,W0_118] :
( ( sdtasdt0(W1_117,W0_118) = sdtasdt0(W0_118,W1_117) )
| ~ aScalar0(W1_117)
| ~ aScalar0(W0_118) ),
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_20238,plain,
! [W0_195] :
( ( sdtasdt0(xH,W0_195) = sdtasdt0(W0_195,xH) )
| ~ aScalar0(W0_195) ),
inference(resolution,[status(thm)],[c_162,c_1515]) ).
tff(c_20484,plain,
sdtasdt0(xH,xE) = sdtasdt0(xE,xH),
inference(resolution,[status(thm)],[c_150,c_20238]) ).
tff(c_20580,plain,
sdtasdt0(xH,xE) = xP,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_20484]) ).
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_182,plain,
sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) != sdtasdt0(xP,xP),
inference(cnfTransformation,[status(thm)],[f_386]) ).
tff(c_3275,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_3234,c_182]) ).
tff(c_3498,plain,
( ( sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))) != sdtasdt0(xP,xP) )
| ~ aScalar0(sdtasdt0(xE,xE)) ),
inference(demodulation,[status(thm),theory(equality)],[c_162,c_162,c_3275]) ).
tff(c_3884,plain,
~ aScalar0(sdtasdt0(xE,xE)),
inference(splitLeft,[status(thm)],[c_3498]) ).
tff(c_3887,plain,
~ aScalar0(xE),
inference(resolution,[status(thm)],[c_26,c_3884]) ).
tff(c_3891,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_150,c_3887]) ).
tff(c_3893,plain,
aScalar0(sdtasdt0(xE,xE)),
inference(splitRight,[status(thm)],[c_3498]) ).
tff(c_1467,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_9844,plain,
! [W0_178] :
( ( sdtasdt0(sdtasdt0(xE,xE),W0_178) = sdtasdt0(W0_178,sdtasdt0(xE,xE)) )
| ~ aScalar0(W0_178) ),
inference(resolution,[status(thm)],[c_3893,c_1467]) ).
tff(c_9938,plain,
( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xH)) != sdtasdt0(xP,xP) )
| ~ aScalar0(sdtasdt0(xH,xH)) ),
inference(superposition,[status(thm),theory(equality)],[c_9844,c_182]) ).
tff(c_10434,plain,
~ aScalar0(sdtasdt0(xH,xH)),
inference(splitLeft,[status(thm)],[c_9938]) ).
tff(c_10437,plain,
~ aScalar0(xH),
inference(resolution,[status(thm)],[c_26,c_10434]) ).
tff(c_10441,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_162,c_10437]) ).
tff(c_10443,plain,
aScalar0(sdtasdt0(xH,xH)),
inference(splitRight,[status(thm)],[c_9938]) ).
tff(c_23628,plain,
! [W0_199] :
( ( sdtasdt0(xE,W0_199) = sdtasdt0(W0_199,xE) )
| ~ aScalar0(W0_199) ),
inference(resolution,[status(thm)],[c_150,c_1515]) ).
tff(c_23973,plain,
sdtasdt0(sdtasdt0(xH,xH),xE) = sdtasdt0(xE,sdtasdt0(xH,xH)),
inference(resolution,[status(thm)],[c_10443,c_23628]) ).
tff(c_24210,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_23973]) ).
tff(c_24242,plain,
sdtasdt0(xE,sdtasdt0(xH,xH)) = sdtasdt0(xH,xP),
inference(demodulation,[status(thm),theory(equality)],[c_162,c_162,c_150,c_20580,c_24210]) ).
tff(c_10442,plain,
sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xH)) != sdtasdt0(xP,xP),
inference(splitRight,[status(thm)],[c_9938]) ).
tff(c_12962,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_10442]) ).
tff(c_12964,plain,
sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))) != sdtasdt0(xP,xP),
inference(demodulation,[status(thm),theory(equality)],[c_150,c_150,c_10443,c_12962]) ).
tff(c_112748,plain,
sdtasdt0(xE,sdtasdt0(xH,xP)) != sdtasdt0(xP,xP),
inference(demodulation,[status(thm),theory(equality)],[c_24242,c_12964]) ).
tff(c_117150,plain,
~ aScalar0(xP),
inference(superposition,[status(thm),theory(equality)],[c_3623,c_112748]) ).
tff(c_117154,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_170,c_117150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG055+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % 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
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 3 18:19:22 EDT 2023
% 0.14/0.34 % CPUTime :
% 55.56/42.26 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 55.56/42.27
% 55.56/42.27 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 55.70/42.30
% 55.70/42.30 Inference rules
% 55.70/42.30 ----------------------
% 55.70/42.30 #Ref : 4
% 55.70/42.30 #Sup : 25398
% 55.70/42.30 #Fact : 2
% 55.70/42.30 #Define : 0
% 55.70/42.30 #Split : 25
% 55.70/42.30 #Chain : 0
% 55.70/42.30 #Close : 0
% 55.70/42.30
% 55.70/42.30 Ordering : KBO
% 55.70/42.30
% 55.70/42.30 Simplification rules
% 55.70/42.30 ----------------------
% 55.70/42.30 #Subsume : 1668
% 55.70/42.30 #Demod : 39012
% 55.70/42.30 #Tautology : 7465
% 55.70/42.30 #SimpNegUnit : 1421
% 55.70/42.30 #BackRed : 53
% 55.70/42.30
% 55.70/42.30 #Partial instantiations: 0
% 55.70/42.30 #Strategies tried : 1
% 55.70/42.30
% 55.70/42.30 Timing (in seconds)
% 55.70/42.30 ----------------------
% 55.70/42.31 Preprocessing : 0.69
% 55.70/42.31 Parsing : 0.36
% 55.70/42.31 CNF conversion : 0.05
% 55.70/42.31 Main loop : 40.53
% 55.70/42.31 Inferencing : 3.26
% 55.70/42.31 Reduction : 28.75
% 55.70/42.31 Demodulation : 26.80
% 55.70/42.31 BG Simplification : 0.21
% 55.70/42.31 Subsumption : 6.73
% 55.70/42.31 Abstraction : 0.36
% 55.70/42.31 MUC search : 0.00
% 55.70/42.31 Cooper : 0.00
% 55.70/42.31 Total : 41.27
% 55.70/42.31 Index Insertion : 0.00
% 55.70/42.31 Index Deletion : 0.00
% 55.70/42.31 Index Matching : 0.00
% 55.70/42.31 BG Taut test : 0.00
%------------------------------------------------------------------------------