TSTP Solution File: RNG049+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : RNG049+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/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 : n013.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 10:54:48 EDT 2023
% Result : Theorem 7.25s 2.69s
% Output : CNFRefutation 7.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 29
% Syntax : Number of formulae : 55 ( 19 unt; 18 typ; 1 def)
% Number of atoms : 80 ( 13 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 78 ( 35 ~; 23 |; 9 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 5 ( 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 : 13 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 22 (; 22 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > iLess0 > aVector0 > aScalar0 > aNaturalNumber0 > sdtpldt0 > sdtlbdtrb0 > sdtasdt0 > sdtasasdt0 > #nlpp > szszuzczcdt0 > sziznziztdt0 > smndt0 > aDimensionOf0 > xs > sz0z00 > sz00 > #skF_1 > #skF_2
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sdtasdt0,type,
sdtasdt0: ( $i * $i ) > $i ).
tff(szszuzczcdt0,type,
szszuzczcdt0: $i > $i ).
tff(sdtlbdtrb0,type,
sdtlbdtrb0: ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(sziznziztdt0,type,
sziznziztdt0: $i > $i ).
tff(sdtlseqdt0,type,
sdtlseqdt0: ( $i * $i ) > $o ).
tff(sz00,type,
sz00: $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(aDimensionOf0,type,
aDimensionOf0: $i > $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('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(sdtasasdt0,type,
sdtasasdt0: ( $i * $i ) > $i ).
tff(iLess0,type,
iLess0: ( $i * $i ) > $o ).
tff(aVector0,type,
aVector0: $i > $o ).
tff(f_322,hypothesis,
aVector0(xs),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1542) ).
tff(f_258,axiom,
! [W0] :
( aVector0(W0)
=> aNaturalNumber0(aDimensionOf0(W0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDimNat) ).
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_330,hypothesis,
aDimensionOf0(xs) != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1542_01) ).
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/sandbox2/benchmark/theBenchmark.p',mDefInit) ).
tff(f_300,axiom,
! [W0,W1] :
( ( aVector0(W0)
& aVector0(W1) )
=> ( ( aDimensionOf0(W0) = aDimensionOf0(W1) )
=> aScalar0(sdtasasdt0(W0,W1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScPr) ).
tff(f_336,negated_conjecture,
~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
tff(f_334,hypothesis,
( sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)))
& sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1590) ).
tff(f_331,hypothesis,
sdtasasdt0(xs,xs) = sdtpldt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1568) ).
tff(f_235,axiom,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> ( ( sdtlseqdt0(sz0z00,W0)
& sdtlseqdt0(sz0z00,W1) )
=> ( sdtlseqdt0(sz0z00,sdtpldt0(W0,W1))
& sdtlseqdt0(sz0z00,sdtasdt0(W0,W1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPosMon) ).
tff(c_112,plain,
aVector0(xs),
inference(cnfTransformation,[status(thm)],[f_322]) ).
tff(c_90,plain,
! [W0_55] :
( aNaturalNumber0(aDimensionOf0(W0_55))
| ~ aVector0(W0_55) ),
inference(cnfTransformation,[status(thm)],[f_258]) ).
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_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_116,plain,
aDimensionOf0(xs) != sz00,
inference(cnfTransformation,[status(thm)],[f_330]) ).
tff(c_98,plain,
! [W0_58] :
( aVector0(sziznziztdt0(W0_58))
| ( aDimensionOf0(W0_58) = sz00 )
| ~ aVector0(W0_58) ),
inference(cnfTransformation,[status(thm)],[f_281]) ).
tff(c_106,plain,
! [W0_70,W1_71] :
( aScalar0(sdtasasdt0(W0_70,W1_71))
| ( aDimensionOf0(W1_71) != aDimensionOf0(W0_70) )
| ~ aVector0(W1_71)
| ~ aVector0(W0_70) ),
inference(cnfTransformation,[status(thm)],[f_300]) ).
tff(c_124,plain,
~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
inference(cnfTransformation,[status(thm)],[f_336]) ).
tff(c_122,plain,
sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs))),
inference(cnfTransformation,[status(thm)],[f_334]) ).
tff(c_120,plain,
sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))),
inference(cnfTransformation,[status(thm)],[f_334]) ).
tff(c_118,plain,
sdtpldt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))) = sdtasasdt0(xs,xs),
inference(cnfTransformation,[status(thm)],[f_331]) ).
tff(c_82,plain,
! [W0_49,W1_50] :
( sdtlseqdt0(sz0z00,sdtpldt0(W0_49,W1_50))
| ~ sdtlseqdt0(sz0z00,W1_50)
| ~ sdtlseqdt0(sz0z00,W0_49)
| ~ aScalar0(W1_50)
| ~ aScalar0(W0_49) ),
inference(cnfTransformation,[status(thm)],[f_235]) ).
tff(c_7059,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))))
| ~ sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)))
| ~ aScalar0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))))
| ~ aScalar0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs))) ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_82]) ).
tff(c_7072,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
| ~ aScalar0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))))
| ~ aScalar0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs))) ),
inference(demodulation,[status(thm),theory(equality)],[c_122,c_120,c_7059]) ).
tff(c_7073,plain,
( ~ aScalar0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))))
| ~ aScalar0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs))) ),
inference(negUnitSimplification,[status(thm)],[c_124,c_7072]) ).
tff(c_7457,plain,
~ aScalar0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs))),
inference(splitLeft,[status(thm)],[c_7073]) ).
tff(c_7461,plain,
~ aVector0(sziznziztdt0(xs)),
inference(resolution,[status(thm)],[c_106,c_7457]) ).
tff(c_7464,plain,
( ( aDimensionOf0(xs) = sz00 )
| ~ aVector0(xs) ),
inference(resolution,[status(thm)],[c_98,c_7461]) ).
tff(c_7467,plain,
aDimensionOf0(xs) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_112,c_7464]) ).
tff(c_7469,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_116,c_7467]) ).
tff(c_7470,plain,
~ aScalar0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))),
inference(splitRight,[status(thm)],[c_7073]) ).
tff(c_7836,plain,
~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xs))),
inference(resolution,[status(thm)],[c_26,c_7470]) ).
tff(c_7839,plain,
( ~ aNaturalNumber0(aDimensionOf0(xs))
| ~ aVector0(xs) ),
inference(resolution,[status(thm)],[c_92,c_7836]) ).
tff(c_7842,plain,
~ aNaturalNumber0(aDimensionOf0(xs)),
inference(demodulation,[status(thm),theory(equality)],[c_112,c_7839]) ).
tff(c_7905,plain,
~ aVector0(xs),
inference(resolution,[status(thm)],[c_90,c_7842]) ).
tff(c_7909,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_112,c_7905]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG049+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/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
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 17:56:32 EDT 2023
% 0.13/0.35 % CPUTime :
% 7.25/2.69 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.25/2.69
% 7.25/2.69 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.25/2.72
% 7.25/2.72 Inference rules
% 7.25/2.72 ----------------------
% 7.25/2.72 #Ref : 2
% 7.25/2.72 #Sup : 1889
% 7.25/2.72 #Fact : 2
% 7.25/2.72 #Define : 0
% 7.25/2.72 #Split : 4
% 7.25/2.72 #Chain : 0
% 7.25/2.72 #Close : 0
% 7.25/2.72
% 7.25/2.72 Ordering : KBO
% 7.25/2.72
% 7.25/2.72 Simplification rules
% 7.25/2.72 ----------------------
% 7.25/2.72 #Subsume : 432
% 7.25/2.72 #Demod : 1549
% 7.25/2.72 #Tautology : 612
% 7.25/2.72 #SimpNegUnit : 22
% 7.25/2.72 #BackRed : 5
% 7.25/2.72
% 7.25/2.72 #Partial instantiations: 0
% 7.25/2.72 #Strategies tried : 1
% 7.25/2.72
% 7.25/2.72 Timing (in seconds)
% 7.25/2.72 ----------------------
% 7.25/2.72 Preprocessing : 0.61
% 7.25/2.72 Parsing : 0.31
% 7.25/2.72 CNF conversion : 0.04
% 7.25/2.72 Main loop : 1.07
% 7.25/2.72 Inferencing : 0.38
% 7.25/2.72 Reduction : 0.29
% 7.25/2.72 Demodulation : 0.20
% 7.25/2.72 BG Simplification : 0.06
% 7.25/2.72 Subsumption : 0.28
% 7.25/2.72 Abstraction : 0.05
% 7.25/2.72 MUC search : 0.00
% 7.25/2.72 Cooper : 0.00
% 7.25/2.72 Total : 1.73
% 7.25/2.72 Index Insertion : 0.00
% 7.25/2.72 Index Deletion : 0.00
% 7.25/2.72 Index Matching : 0.00
% 7.25/2.72 BG Taut test : 0.00
%------------------------------------------------------------------------------