%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : RNG081+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/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 : n028.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 08:31:29 PM UTC 2025
% Result : Theorem 10.14s 3.34s
% Output : CNFRefutation 10.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 104 ( 55 equ)
% Maximal formula atoms : 34 ( 2 avg)
% Number of connectives : 95 ( 27 ~; 21 |; 41 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 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 : 28 ( 28 usr; 18 con; 0-2 aty)
% Number of variables : 26 ( 12 !; 14 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > iLess0 > aVector0 > aScalar0 > aNaturalNumber0 > sdtpldt0 > sdtlbdtrb0 > sdtasdt0 > sdtasasdt0 > #nlpp > szszuzczcdt0 > sziznziztdt0 > smndt0 > aDimensionOf0 > xt > xs > sz0z00 > sz00 > #skF_11 > #skF_15 > #skF_1 > #skF_7 > #skF_10 > #skF_16 > #skF_14 > #skF_5 > #skF_6 > #skF_13 > #skF_3 > #skF_9 > #skF_8 > #skF_4 > #skF_2 > #skF_12
%Foreground sorts:
%Background operators:
%Foreground operators:
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('#skF_11',type,
'#skF_11': $i ).
tff('#skF_15',type,
'#skF_15': $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('#skF_7',type,
'#skF_7': $i ).
tff('#skF_10',type,
'#skF_10': $i ).
tff('#skF_16',type,
'#skF_16': $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(aDimensionOf0,type,
aDimensionOf0: $i > $i ).
tff('#skF_14',type,
'#skF_14': $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(aNaturalNumber0,type,
aNaturalNumber0: $i > $o ).
tff(sz0z00,type,
sz0z00: $i ).
tff(smndt0,type,
smndt0: $i > $i ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_13',type,
'#skF_13': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff(aScalar0,type,
aScalar0: $i > $o ).
tff(xs,type,
xs: $i ).
tff('#skF_9',type,
'#skF_9': $i ).
tff('#skF_8',type,
'#skF_8': $i ).
tff('#skF_4',type,
'#skF_4': $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('#skF_12',type,
'#skF_12': $i ).
tff(aVector0,type,
aVector0: $i > $o ).
tff(f_70,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mScZero) ).
tff(f_239,axiom,
! [W0] :
( aScalar0(W0)
=> sdtlseqdt0(sz0z00,sdtasdt0(W0,W0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqPos) ).
tff(f_422,negated_conjecture,
~ ( ( ( aDimensionOf0(xs) != sz00 )
=> ? [W0] :
( aVector0(W0)
& ( W0 = sziznziztdt0(xs) )
& ? [W1] :
( aVector0(W1)
& ( W1 = sziznziztdt0(xt) )
& ? [W2] :
( aScalar0(W2)
& ( W2 = sdtlbdtrb0(xs,aDimensionOf0(xs)) )
& ? [W3] :
( aScalar0(W3)
& ( W3 = sdtlbdtrb0(xt,aDimensionOf0(xt)) )
& ? [W4] :
( aScalar0(W4)
& ( W4 = sdtasasdt0(W0,W0) )
& ? [W5] :
( aScalar0(W5)
& ( W5 = sdtasasdt0(W1,W1) )
& ? [W6] :
( aScalar0(W6)
& ( W6 = sdtasasdt0(W0,W1) )
& ? [W7] :
( aScalar0(W7)
& ( W7 = sdtasdt0(W2,W2) )
& ? [W8] :
( aScalar0(W8)
& ( W8 = sdtasdt0(W3,W3) )
& ? [W9] :
( aScalar0(W9)
& ( W9 = sdtasdt0(W2,W3) )
& ? [W10] :
( aScalar0(W10)
& ( W10 = sdtasdt0(W4,W8) )
& ? [W11] :
( aScalar0(W11)
& ( W11 = sdtasdt0(W6,W9) )
& ? [W12] :
( aScalar0(W12)
& ( W12 = sdtasdt0(W7,W5) )
& ? [W13] :
( aScalar0(W13)
& ( W13 = sdtasdt0(W10,W12) )
& sdtlseqdt0(sdtasdt0(W6,W6),sdtasdt0(W4,W5))
& sdtlseqdt0(sdtpldt0(W11,W11),sdtpldt0(W10,W12))
& sdtlseqdt0(sdtasdt0(sdtpldt0(W6,W9),sdtpldt0(W6,W9)),sdtasdt0(sdtpldt0(W4,W7),sdtpldt0(W5,W8)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
tff(f_328,hypothesis,
( aVector0(xs)
& aVector0(xt) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1678) ).
tff(f_310,axiom,
! [W0,W1] :
( ( aVector0(W0)
& aVector0(W1) )
=> ( ( ( aDimensionOf0(W0) = aDimensionOf0(W1) )
& ( aDimensionOf0(W1) = sz00 ) )
=> ( sdtasasdt0(W0,W1) = sz0z00 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSPZ) ).
tff(f_339,hypothesis,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1678_01) ).
tff(c_22,plain,
aScalar0(sz0z00),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_304,plain,
! [W0_16456] :
( ( sdtasdt0(sz0z00,W0_16456) = sz0z00 )
| ~ aScalar0(W0_16456) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_312,plain,
sdtasdt0(sz0z00,sz0z00) = sz0z00,
inference(resolution,[status(thm)],[c_22,c_304]) ).
tff(c_393,plain,
! [W0_16465] :
( sdtlseqdt0(sz0z00,sdtasdt0(W0_16465,W0_16465))
| ~ aScalar0(W0_16465) ),
inference(cnfTransformation,[status(thm)],[f_239]) ).
tff(c_396,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm),theory(equality)],[c_312,c_393]) ).
tff(c_398,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_396]) ).
tff(c_122,plain,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(cnfTransformation,[status(thm)],[f_422]) ).
tff(c_124,plain,
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
| ( aDimensionOf0(xs) = sz00 ) ),
inference(cnfTransformation,[status(thm)],[f_422]) ).
tff(c_187,plain,
aDimensionOf0(xs) = sz00,
inference(negUnitSimplification,[status(thm)],[c_122,c_124]) ).
tff(c_116,plain,
aVector0(xs),
inference(cnfTransformation,[status(thm)],[f_328]) ).
tff(c_9711,plain,
! [W0_16648,W1_16649] :
( ( sdtasasdt0(W0_16648,W1_16649) = sz0z00 )
| ( aDimensionOf0(W1_16649) != sz00 )
| ( aDimensionOf0(W1_16649) != aDimensionOf0(W0_16648) )
| ~ aVector0(W1_16649)
| ~ aVector0(W0_16648) ),
inference(cnfTransformation,[status(thm)],[f_310]) ).
tff(c_9717,plain,
! [W0_16648] :
( ( sdtasasdt0(W0_16648,xs) = sz0z00 )
| ( aDimensionOf0(xs) != sz00 )
| ( aDimensionOf0(xs) != aDimensionOf0(W0_16648) )
| ~ aVector0(W0_16648) ),
inference(resolution,[status(thm)],[c_116,c_9711]) ).
tff(c_10259,plain,
! [W0_16654] :
( ( sdtasasdt0(W0_16654,xs) = sz0z00 )
| ( aDimensionOf0(W0_16654) != sz00 )
| ~ aVector0(W0_16654) ),
inference(demodulation,[status(thm),theory(equality)],[c_187,c_187,c_9717]) ).
tff(c_10268,plain,
( ( sdtasasdt0(xs,xs) = sz0z00 )
| ( aDimensionOf0(xs) != sz00 ) ),
inference(resolution,[status(thm)],[c_116,c_10259]) ).
tff(c_10275,plain,
sdtasasdt0(xs,xs) = sz0z00,
inference(demodulation,[status(thm),theory(equality)],[c_187,c_10268]) ).
tff(c_120,plain,
aDimensionOf0(xt) = aDimensionOf0(xs),
inference(cnfTransformation,[status(thm)],[f_339]) ).
tff(c_219,plain,
aDimensionOf0(xt) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_187,c_120]) ).
tff(c_114,plain,
aVector0(xt),
inference(cnfTransformation,[status(thm)],[f_328]) ).
tff(c_9715,plain,
! [W0_16648] :
( ( sdtasasdt0(W0_16648,xt) = sz0z00 )
| ( aDimensionOf0(xt) != sz00 )
| ( aDimensionOf0(xt) != aDimensionOf0(W0_16648) )
| ~ aVector0(W0_16648) ),
inference(resolution,[status(thm)],[c_114,c_9711]) ).
tff(c_9852,plain,
! [W0_16651] :
( ( sdtasasdt0(W0_16651,xt) = sz0z00 )
| ( aDimensionOf0(W0_16651) != sz00 )
| ~ aVector0(W0_16651) ),
inference(demodulation,[status(thm),theory(equality)],[c_219,c_219,c_9715]) ).
tff(c_9861,plain,
( ( sdtasasdt0(xs,xt) = sz0z00 )
| ( aDimensionOf0(xs) != sz00 ) ),
inference(resolution,[status(thm)],[c_116,c_9852]) ).
tff(c_9868,plain,
sdtasasdt0(xs,xt) = sz0z00,
inference(demodulation,[status(thm),theory(equality)],[c_187,c_9861]) ).
tff(c_9858,plain,
( ( sdtasasdt0(xt,xt) = sz0z00 )
| ( aDimensionOf0(xt) != sz00 ) ),
inference(resolution,[status(thm)],[c_114,c_9852]) ).
tff(c_9865,plain,
sdtasasdt0(xt,xt) = sz0z00,
inference(demodulation,[status(thm),theory(equality)],[c_219,c_9858]) ).
tff(c_9875,plain,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sz0z00)),
inference(demodulation,[status(thm),theory(equality)],[c_9865,c_122]) ).
tff(c_9903,plain,
~ sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sdtasasdt0(xs,xs),sz0z00)),
inference(demodulation,[status(thm),theory(equality)],[c_9868,c_9868,c_9875]) ).
tff(c_9911,plain,
~ sdtlseqdt0(sz0z00,sdtasdt0(sdtasasdt0(xs,xs),sz0z00)),
inference(demodulation,[status(thm),theory(equality)],[c_312,c_9903]) ).
tff(c_10288,plain,
~ sdtlseqdt0(sz0z00,sdtasdt0(sz0z00,sz0z00)),
inference(demodulation,[status(thm),theory(equality)],[c_10275,c_9911]) ).
tff(c_10295,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_398,c_312,c_10288]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG081+1 : TPTP v9.0.0. Released v4.0.0.
% 0.07/0.13 % 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
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 8 18:43:20 EDT 2025
% 0.13/0.34 % CPUTime :
% 10.14/3.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.14/3.34
% 10.14/3.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------