%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : RNG061+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 : 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 08:31:25 PM UTC 2025
% Result : Theorem 31.47s 18.56s
% Output : CNFRefutation 31.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 64 ( 20 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 54 ( 23 ~; 17 |; 11 &)
% ( 0 <=>; 3 =>; 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 : 28 ( 28 usr; 18 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 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_383,hypothesis,
( aScalar0(xN)
& ( xN = sdtasdt0(xR,xS) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1949) ).
tff(f_380,hypothesis,
( aScalar0(xS)
& ( xS = sdtasdt0(xF,xD) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).
tff(f_86,axiom,
! [W0] :
( aScalar0(W0)
=> aScalar0(smndt0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNegSc) ).
tff(f_374,hypothesis,
( aScalar0(xR)
& ( xR = sdtasdt0(xC,xG) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).
tff(f_390,hypothesis,
( ( sdtasdt0(xR,smndt0(xS)) = smndt0(xN) )
& ( sdtasdt0(smndt0(xS),xR) = smndt0(xN) )
& ( sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2144) ).
tff(f_82,axiom,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> aScalar0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
tff(f_391,hypothesis,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2180) ).
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_393,negated_conjecture,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(c_178,plain,
aScalar0(xN),
inference(cnfTransformation,[status(thm)],[f_383]) ).
tff(c_174,plain,
aScalar0(xS),
inference(cnfTransformation,[status(thm)],[f_380]) ).
tff(c_28,plain,
! [W0_15] :
( aScalar0(smndt0(W0_15))
| ~ aScalar0(W0_15) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_166,plain,
aScalar0(xR),
inference(cnfTransformation,[status(thm)],[f_374]) ).
tff(c_186,plain,
sdtasdt0(smndt0(xS),xR) = smndt0(xN),
inference(cnfTransformation,[status(thm)],[f_390]) ).
tff(c_843,plain,
! [W0_95,W1_96] :
( aScalar0(sdtasdt0(W0_95,W1_96))
| ~ aScalar0(W1_96)
| ~ aScalar0(W0_95) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_906,plain,
( aScalar0(smndt0(xN))
| ~ aScalar0(xR)
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm),theory(equality)],[c_186,c_843]) ).
tff(c_996,plain,
( aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xS)) ),
inference(demodulation,[status(thm),theory(equality)],[c_166,c_906]) ).
tff(c_1040,plain,
~ aScalar0(smndt0(xS)),
inference(splitLeft,[status(thm)],[c_996]) ).
tff(c_1043,plain,
~ aScalar0(xS),
inference(resolution,[status(thm)],[c_28,c_1040]) ).
tff(c_1047,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_174,c_1043]) ).
tff(c_1049,plain,
aScalar0(smndt0(xS)),
inference(splitRight,[status(thm)],[c_996]) ).
tff(c_184,plain,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
inference(cnfTransformation,[status(thm)],[f_390]) ).
tff(c_858,plain,
( aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm),theory(equality)],[c_184,c_843]) ).
tff(c_52913,plain,
aScalar0(sdtasdt0(xS,xS)),
inference(demodulation,[status(thm),theory(equality)],[c_1049,c_1049,c_858]) ).
tff(c_190,plain,
sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))) = sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),
inference(cnfTransformation,[status(thm)],[f_391]) ).
tff(c_50,plain,
! [W1_18,W0_17,W2_19] :
( ( sdtpldt0(W1_18,W0_17) = sdtpldt0(W0_17,W1_18) )
| ~ aScalar0(W2_19)
| ~ aScalar0(W1_18)
| ~ aScalar0(W0_17) ),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_2513,plain,
! [W2_19] : ~ aScalar0(W2_19),
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_2534,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2513,c_1049]) ).
tff(c_2585,plain,
! [W1_131,W0_132] :
( ( sdtpldt0(W1_131,W0_132) = sdtpldt0(W0_132,W1_131) )
| ~ aScalar0(W1_131)
| ~ aScalar0(W0_132) ),
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_68029,plain,
! [W0_243,W0_244] :
( ( sdtpldt0(smndt0(W0_243),W0_244) = sdtpldt0(W0_244,smndt0(W0_243)) )
| ~ aScalar0(W0_244)
| ~ aScalar0(W0_243) ),
inference(resolution,[status(thm)],[c_28,c_2585]) ).
tff(c_192,plain,
sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))) != sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),
inference(cnfTransformation,[status(thm)],[f_393]) ).
tff(c_68136,plain,
( ( sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))) != sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) )
| ~ aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(xN) ),
inference(superposition,[status(thm),theory(equality)],[c_68029,c_192]) ).
tff(c_68257,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_178,c_52913,c_190,c_68136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : RNG061+1 : TPTP v9.0.0. Released v4.0.0.
% 0.10/0.13 % 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
% 0.13/0.34 % 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 18:36:04 EDT 2025
% 0.13/0.34 % CPUTime :
% 31.47/18.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.47/18.57
% 31.47/18.57 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------