%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : RNG047+2 : 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 : n024.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 08:31:22 PM UTC 2025
% Result : Theorem 4.40s 2.05s
% Output : CNFRefutation 4.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 57 ( 23 equ)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 47 ( 20 ~; 13 |; 6 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 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; 4 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > iLess0 > aVector0 > aScalar0 > aNaturalNumber0 > sdtpldt0 > sdtlbdtrb0 > sdtasdt0 > #nlpp > szszuzczcdt0 > sziznziztdt0 > smndt0 > aDimensionOf0 > xt > xs > sz0z00 > sz00 > #skF_1 > #skF_2
%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_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(iLess0,type,
iLess0: ( $i * $i ) > $o ).
tff(aVector0,type,
aVector0: $i > $o ).
tff(f_308,negated_conjecture,
~ ( ( aVector0(sziznziztdt0(xs))
& ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs) )
& ! [W0] :
( aNaturalNumber0(W0)
=> ( sdtlbdtrb0(sziznziztdt0(xs),W0) = sdtlbdtrb0(xs,W0) ) ) )
=> ( ( aVector0(sziznziztdt0(xt))
& ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xt) )
& ! [W0] :
( aNaturalNumber0(W0)
=> ( sdtlbdtrb0(sziznziztdt0(xt),W0) = sdtlbdtrb0(xt,W0) ) ) )
=> ( aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(f_288,hypothesis,
( ( aDimensionOf0(xs) = aDimensionOf0(xt) )
& ( aDimensionOf0(xt) != sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1329_01) ).
tff(f_258,axiom,
! [W0] :
( aVector0(W0)
=> aNaturalNumber0(aDimensionOf0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDimNat) ).
tff(f_66,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> iLess0(W0,szszuzczcdt0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH) ).
tff(f_55,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( ( szszuzczcdt0(W0) = szszuzczcdt0(W1) )
=> ( W0 = W1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccEqu) ).
tff(c_112,plain,
aDimensionOf0(sziznziztdt0(xt)) != aDimensionOf0(sziznziztdt0(xs)),
inference(cnfTransformation,[status(thm)],[f_308]) ).
tff(c_110,plain,
aDimensionOf0(xt) = aDimensionOf0(xs),
inference(cnfTransformation,[status(thm)],[f_288]) ).
tff(c_116,plain,
szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xt),
inference(cnfTransformation,[status(thm)],[f_308]) ).
tff(c_125,plain,
szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xs),
inference(demodulation,[status(thm),theory(equality)],[c_110,c_116]) ).
tff(c_118,plain,
aVector0(sziznziztdt0(xt)),
inference(cnfTransformation,[status(thm)],[f_308]) ).
tff(c_90,plain,
! [W0_55] :
( aNaturalNumber0(aDimensionOf0(W0_55))
| ~ aVector0(W0_55) ),
inference(cnfTransformation,[status(thm)],[f_258]) ).
tff(c_237,plain,
! [W0_78] :
( iLess0(W0_78,szszuzczcdt0(W0_78))
| ~ aNaturalNumber0(W0_78) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_240,plain,
( iLess0(aDimensionOf0(sziznziztdt0(xt)),aDimensionOf0(xs))
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt))) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_237]) ).
tff(c_664,plain,
~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt))),
inference(splitLeft,[status(thm)],[c_240]) ).
tff(c_667,plain,
~ aVector0(sziznziztdt0(xt)),
inference(resolution,[status(thm)],[c_90,c_664]) ).
tff(c_671,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_118,c_667]) ).
tff(c_673,plain,
aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt))),
inference(splitRight,[status(thm)],[c_240]) ).
tff(c_124,plain,
aVector0(sziznziztdt0(xs)),
inference(cnfTransformation,[status(thm)],[f_308]) ).
tff(c_122,plain,
szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs),
inference(cnfTransformation,[status(thm)],[f_308]) ).
tff(c_243,plain,
( iLess0(aDimensionOf0(sziznziztdt0(xs)),aDimensionOf0(xs))
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))) ),
inference(superposition,[status(thm),theory(equality)],[c_122,c_237]) ).
tff(c_528,plain,
~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))),
inference(splitLeft,[status(thm)],[c_243]) ).
tff(c_531,plain,
~ aVector0(sziznziztdt0(xs)),
inference(resolution,[status(thm)],[c_90,c_528]) ).
tff(c_535,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_124,c_531]) ).
tff(c_537,plain,
aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))),
inference(splitRight,[status(thm)],[c_243]) ).
tff(c_585,plain,
! [W1_103,W0_104] :
( ( W1_103 = W0_104 )
| ( szszuzczcdt0(W1_103) != szszuzczcdt0(W0_104) )
| ~ aNaturalNumber0(W1_103)
| ~ aNaturalNumber0(W0_104) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_597,plain,
! [W1_103] :
( ( aDimensionOf0(sziznziztdt0(xs)) = W1_103 )
| ( szszuzczcdt0(W1_103) != aDimensionOf0(xs) )
| ~ aNaturalNumber0(W1_103)
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))) ),
inference(superposition,[status(thm),theory(equality)],[c_122,c_585]) ).
tff(c_772,plain,
! [W1_114] :
( ( aDimensionOf0(sziznziztdt0(xs)) = W1_114 )
| ( szszuzczcdt0(W1_114) != aDimensionOf0(xs) )
| ~ aNaturalNumber0(W1_114) ),
inference(demodulation,[status(thm),theory(equality)],[c_537,c_597]) ).
tff(c_774,plain,
( ( aDimensionOf0(sziznziztdt0(xt)) = aDimensionOf0(sziznziztdt0(xs)) )
| ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) != aDimensionOf0(xs) ) ),
inference(resolution,[status(thm)],[c_673,c_772]) ).
tff(c_789,plain,
aDimensionOf0(sziznziztdt0(xt)) = aDimensionOf0(sziznziztdt0(xs)),
inference(demodulation,[status(thm),theory(equality)],[c_125,c_774]) ).
tff(c_791,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_789]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG047+2 : TPTP v9.0.0. Released v4.0.0.
% 0.07/0.13 % 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
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Apr 8 18:31:21 EDT 2025
% 0.13/0.34 % CPUTime :
% 4.40/2.05 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.74/2.05
% 4.74/2.05 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------