TSTP Solution File: RNG074+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : RNG074+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 : n027.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 10:54:52 EDT 2023
% Result : Theorem 3.41s 1.86s
% Output : CNFRefutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 36
% Syntax : Number of formulae : 41 ( 8 unt; 33 typ; 0 def)
% Number of atoms : 8 ( 2 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 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 : 28 ( 28 usr; 18 con; 0-2 aty)
% Number of variables : 0 (; 0 !; 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_395,hypothesis,
sdtpldt0(xR,xS) = sdtpldt0(xP,xP),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2679) ).
tff(f_390,hypothesis,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2610) ).
tff(f_389,hypothesis,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2590) ).
tff(c_198,plain,
sdtpldt0(xR,xS) = sdtpldt0(xP,xP),
inference(cnfTransformation,[status(thm)],[f_395]) ).
tff(c_190,plain,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(cnfTransformation,[status(thm)],[f_390]) ).
tff(c_204,plain,
sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),
inference(demodulation,[status(thm),theory(equality)],[c_198,c_190]) ).
tff(c_188,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(cnfTransformation,[status(thm)],[f_389]) ).
tff(c_206,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_204,c_198,c_188]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG074+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % 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
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 18:20:39 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.41/1.86 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.41/1.86
% 3.41/1.86 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.58/1.88
% 3.58/1.88 Inference rules
% 3.58/1.88 ----------------------
% 3.58/1.88 #Ref : 0
% 3.58/1.88 #Sup : 0
% 3.58/1.88 #Fact : 0
% 3.58/1.88 #Define : 0
% 3.58/1.88 #Split : 0
% 3.58/1.88 #Chain : 0
% 3.58/1.88 #Close : 0
% 3.58/1.88
% 3.58/1.88 Ordering : KBO
% 3.58/1.88
% 3.58/1.88 Simplification rules
% 3.58/1.88 ----------------------
% 3.58/1.88 #Subsume : 92
% 3.58/1.88 #Demod : 7
% 3.58/1.88 #Tautology : 7
% 3.58/1.88 #SimpNegUnit : 0
% 3.58/1.88 #BackRed : 0
% 3.58/1.88
% 3.58/1.88 #Partial instantiations: 0
% 3.58/1.88 #Strategies tried : 1
% 3.58/1.88
% 3.58/1.88 Timing (in seconds)
% 3.58/1.88 ----------------------
% 3.58/1.89 Preprocessing : 0.69
% 3.58/1.89 Parsing : 0.36
% 3.58/1.89 CNF conversion : 0.05
% 3.58/1.89 Main loop : 0.06
% 3.58/1.89 Inferencing : 0.00
% 3.58/1.89 Reduction : 0.03
% 3.58/1.89 Demodulation : 0.02
% 3.58/1.89 BG Simplification : 0.04
% 3.58/1.89 Subsumption : 0.03
% 3.58/1.89 Abstraction : 0.01
% 3.58/1.89 MUC search : 0.00
% 3.58/1.89 Cooper : 0.00
% 3.58/1.89 Total : 0.80
% 3.58/1.89 Index Insertion : 0.00
% 3.58/1.89 Index Deletion : 0.00
% 3.58/1.89 Index Matching : 0.00
% 3.58/1.89 BG Taut test : 0.00
%------------------------------------------------------------------------------