%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : RNG050+1 : TPTP v9.0.0. 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 : n026.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 : Wed Apr 9 08:31:23 PM UTC 2025
% Result : Theorem 5.95s 2.44s
% Output : CNFRefutation 6.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 52 ( 27 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 46 ( 17 ~; 14 |; 9 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 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 : 10 ( 10 !; 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_70,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
tff(f_104,axiom,
! [W0] :
( aScalar0(W0)
=> ( ( sdtpldt0(W0,sz0z00) = W0 )
& ( sdtpldt0(sz0z00,W0) = W0 )
& ( sdtasdt0(W0,sz0z00) = sz0z00 )
& ( sdtasdt0(sz0z00,W0) = sz0z00 )
& ( sdtpldt0(W0,smndt0(W0)) = sz0z00 )
& ( sdtpldt0(smndt0(W0),W0) = sz0z00 )
& ( smndt0(smndt0(W0)) = W0 )
& ( smndt0(sz0z00) = sz0z00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScZero) ).
tff(f_239,axiom,
! [W0] :
( aScalar0(W0)
=> sdtlseqdt0(sz0z00,sdtasdt0(W0,W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSqPos) ).
tff(f_335,negated_conjecture,
~ ( ( ( aDimensionOf0(xs) != sz00 )
=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) )
=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(f_322,hypothesis,
aVector0(xs),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1542) ).
tff(f_310,axiom,
! [W0,W1] :
( ( aVector0(W0)
& aVector0(W1) )
=> ( ( ( aDimensionOf0(W0) = aDimensionOf0(W1) )
& ( aDimensionOf0(W1) = sz00 ) )
=> ( sdtasasdt0(W0,W1) = sz0z00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSPZ) ).
tff(c_22,plain,
aScalar0(sz0z00),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_169,plain,
! [W0_83] :
( ( sdtasdt0(W0_83,sz0z00) = sz0z00 )
| ~ aScalar0(W0_83) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_177,plain,
sdtasdt0(sz0z00,sz0z00) = sz0z00,
inference(resolution,[status(thm)],[c_22,c_169]) ).
tff(c_239,plain,
! [W0_90] :
( sdtlseqdt0(sz0z00,sdtasdt0(W0_90,W0_90))
| ~ aScalar0(W0_90) ),
inference(cnfTransformation,[status(thm)],[f_239]) ).
tff(c_242,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm),theory(equality)],[c_177,c_239]) ).
tff(c_244,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_242]) ).
tff(c_116,plain,
~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
inference(cnfTransformation,[status(thm)],[f_335]) ).
tff(c_118,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
| ( aDimensionOf0(xs) = sz00 ) ),
inference(cnfTransformation,[status(thm)],[f_335]) ).
tff(c_119,plain,
aDimensionOf0(xs) = sz00,
inference(negUnitSimplification,[status(thm)],[c_116,c_118]) ).
tff(c_112,plain,
aVector0(xs),
inference(cnfTransformation,[status(thm)],[f_322]) ).
tff(c_3097,plain,
! [W0_173,W1_174] :
( ( sdtasasdt0(W0_173,W1_174) = sz0z00 )
| ( aDimensionOf0(W1_174) != sz00 )
| ( aDimensionOf0(W1_174) != aDimensionOf0(W0_173) )
| ~ aVector0(W1_174)
| ~ aVector0(W0_173) ),
inference(cnfTransformation,[status(thm)],[f_310]) ).
tff(c_3101,plain,
! [W0_173] :
( ( sdtasasdt0(W0_173,xs) = sz0z00 )
| ( aDimensionOf0(xs) != sz00 )
| ( aDimensionOf0(xs) != aDimensionOf0(W0_173) )
| ~ aVector0(W0_173) ),
inference(resolution,[status(thm)],[c_112,c_3097]) ).
tff(c_3213,plain,
! [W0_176] :
( ( sdtasasdt0(W0_176,xs) = sz0z00 )
| ( aDimensionOf0(W0_176) != sz00 )
| ~ aVector0(W0_176) ),
inference(demodulation,[status(thm),theory(equality)],[c_119,c_119,c_3101]) ).
tff(c_3219,plain,
( ( sdtasasdt0(xs,xs) = sz0z00 )
| ( aDimensionOf0(xs) != sz00 ) ),
inference(resolution,[status(thm)],[c_112,c_3213]) ).
tff(c_3223,plain,
sdtasasdt0(xs,xs) = sz0z00,
inference(demodulation,[status(thm),theory(equality)],[c_119,c_3219]) ).
tff(c_3224,plain,
~ sdtlseqdt0(sz0z00,sz0z00),
inference(demodulation,[status(thm),theory(equality)],[c_3223,c_116]) ).
tff(c_3227,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_244,c_3224]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG050+1 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.13 % 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
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 8 18:33:53 EDT 2025
% 0.12/0.34 % CPUTime :
% 5.95/2.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.95/2.44
% 5.95/2.44 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------