TSTP Solution File: RNG093+2 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : RNG093+2 : 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 : n021.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 10:54:56 EDT 2023
% Result : Theorem 8.99s 3.19s
% Output : CNFRefutation 9.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 33
% Syntax : Number of formulae : 100 ( 36 unt; 29 typ; 0 def)
% Number of atoms : 139 ( 4 equ)
% Maximal formula atoms : 14 ( 1 avg)
% Number of connectives : 131 ( 63 ~; 43 |; 11 &)
% ( 1 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 47 ( 22 >; 25 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 7 con; 0-4 aty)
% Number of variables : 39 (; 39 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ aElementOf0 > aSet0 > aIdeal0 > aElement0 > sdtpldt1 > sdtpldt0 > sdtasdt0 > sdtasasdt0 > #nlpp > smndt0 > xJ > xI > sz10 > sz00 > #skF_6 > #skF_15 > #skF_4 > #skF_8 > #skF_16 > #skF_14 > #skF_5 > #skF_7 > #skF_9 > #skF_13 > #skF_11 > #skF_3 > #skF_2 > #skF_12 > #skF_1 > #skF_10
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sdtasdt0,type,
sdtasdt0: ( $i * $i ) > $i ).
tff(aSet0,type,
aSet0: $i > $o ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff(sz10,type,
sz10: $i ).
tff('#skF_15',type,
'#skF_15': $i ).
tff(sdtpldt1,type,
sdtpldt1: ( $i * $i ) > $i ).
tff(aElement0,type,
aElement0: $i > $o ).
tff(sz00,type,
sz00: $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff(aIdeal0,type,
aIdeal0: $i > $o ).
tff(xI,type,
xI: $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': $i ).
tff(smndt0,type,
smndt0: $i > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i * $i ) > $i ).
tff(aElementOf0,type,
aElementOf0: ( $i * $i ) > $o ).
tff('#skF_9',type,
'#skF_9': ( $i * $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
tff('#skF_11',type,
'#skF_11': $i > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(xJ,type,
xJ: $i ).
tff(sdtasasdt0,type,
sdtasasdt0: ( $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i * $i ) > $i ).
tff(f_268,negated_conjecture,
~ ( ( aSet0(sdtasasdt0(xI,xJ))
& ! [W0] :
( aElementOf0(W0,sdtasasdt0(xI,xJ))
<=> ( aElementOf0(W0,xI)
& aElementOf0(W0,xJ) ) ) )
=> ( ! [W0] :
( aElementOf0(W0,sdtasasdt0(xI,xJ))
=> ( ! [W1] :
( aElementOf0(W1,sdtasasdt0(xI,xJ))
=> aElementOf0(sdtpldt0(W0,W1),sdtasasdt0(xI,xJ)) )
& ! [W1] :
( aElement0(W1)
=> aElementOf0(sdtasdt0(W1,W0),sdtasasdt0(xI,xJ)) ) ) )
| aIdeal0(sdtasasdt0(xI,xJ)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
tff(f_244,hypothesis,
( aSet0(xI)
& ! [W0] :
( aElementOf0(W0,xI)
=> ( ! [W1] :
( aElementOf0(W1,xI)
=> aElementOf0(sdtpldt0(W0,W1),xI) )
& ! [W1] :
( aElement0(W1)
=> aElementOf0(sdtasdt0(W1,W0),xI) ) ) )
& aIdeal0(xI)
& aSet0(xJ)
& ! [W0] :
( aElementOf0(W0,xJ)
=> ( ! [W1] :
( aElementOf0(W1,xJ)
=> aElementOf0(sdtpldt0(W0,W1),xJ) )
& ! [W1] :
( aElement0(W1)
=> aElementOf0(sdtasdt0(W1,W0),xJ) ) ) )
& aIdeal0(xJ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1150) ).
tff(f_137,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
tff(f_79,axiom,
! [W0,W1] :
( ( aElement0(W0)
& aElement0(W1) )
=> ( sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
tff(c_144,plain,
aElementOf0('#skF_14',sdtasasdt0(xI,xJ)),
inference(cnfTransformation,[status(thm)],[f_268]) ).
tff(c_4301,plain,
! [W0_239] :
( aElementOf0(W0_239,xJ)
| ~ aElementOf0(W0_239,sdtasasdt0(xI,xJ)) ),
inference(cnfTransformation,[status(thm)],[f_268]) ).
tff(c_4309,plain,
aElementOf0('#skF_14',xJ),
inference(resolution,[status(thm)],[c_144,c_4301]) ).
tff(c_293,plain,
! [W0_157] :
( aElementOf0(W0_157,xJ)
| ~ aElementOf0(W0_157,sdtasasdt0(xI,xJ)) ),
inference(cnfTransformation,[status(thm)],[f_268]) ).
tff(c_297,plain,
aElementOf0('#skF_14',xJ),
inference(resolution,[status(thm)],[c_144,c_293]) ).
tff(c_156,plain,
( aElementOf0('#skF_15',sdtasasdt0(xI,xJ))
| aElement0('#skF_16') ),
inference(cnfTransformation,[status(thm)],[f_268]) ).
tff(c_219,plain,
aElement0('#skF_16'),
inference(splitLeft,[status(thm)],[c_156]) ).
tff(c_134,plain,
! [W1_141,W0_137] :
( aElementOf0(sdtasdt0(W1_141,W0_137),xJ)
| ~ aElement0(W1_141)
| ~ aElementOf0(W0_137,xJ) ),
inference(cnfTransformation,[status(thm)],[f_244]) ).
tff(c_148,plain,
aSet0(sdtasasdt0(xI,xJ)),
inference(cnfTransformation,[status(thm)],[f_268]) ).
tff(c_337,plain,
! [W1_160,W0_161] :
( aElement0(W1_160)
| ~ aElementOf0(W1_160,W0_161)
| ~ aSet0(W0_161) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_343,plain,
( aElement0('#skF_14')
| ~ aSet0(sdtasasdt0(xI,xJ)) ),
inference(resolution,[status(thm)],[c_144,c_337]) ).
tff(c_349,plain,
aElement0('#skF_14'),
inference(demodulation,[status(thm),theory(equality)],[c_148,c_343]) ).
tff(c_1198,plain,
! [W1_190,W0_191] :
( ( sdtasdt0(W1_190,W0_191) = sdtasdt0(W0_191,W1_190) )
| ~ aElement0(W1_190)
| ~ aElement0(W0_191) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_1320,plain,
! [W0_194] :
( ( sdtasdt0(W0_194,'#skF_16') = sdtasdt0('#skF_16',W0_194) )
| ~ aElement0(W0_194) ),
inference(resolution,[status(thm)],[c_219,c_1198]) ).
tff(c_1356,plain,
sdtasdt0('#skF_16','#skF_14') = sdtasdt0('#skF_14','#skF_16'),
inference(resolution,[status(thm)],[c_349,c_1320]) ).
tff(c_146,plain,
! [W0_147] :
( aElementOf0(W0_147,sdtasasdt0(xI,xJ))
| ~ aElementOf0(W0_147,xJ)
| ~ aElementOf0(W0_147,xI) ),
inference(cnfTransformation,[status(thm)],[f_268]) ).
tff(c_152,plain,
( aElementOf0('#skF_15',sdtasasdt0(xI,xJ))
| ~ aElementOf0(sdtasdt0('#skF_16','#skF_14'),sdtasasdt0(xI,xJ)) ),
inference(cnfTransformation,[status(thm)],[f_268]) ).
tff(c_838,plain,
~ aElementOf0(sdtasdt0('#skF_16','#skF_14'),sdtasasdt0(xI,xJ)),
inference(splitLeft,[status(thm)],[c_152]) ).
tff(c_842,plain,
( ~ aElementOf0(sdtasdt0('#skF_16','#skF_14'),xJ)
| ~ aElementOf0(sdtasdt0('#skF_16','#skF_14'),xI) ),
inference(resolution,[status(thm)],[c_146,c_838]) ).
tff(c_1364,plain,
~ aElementOf0(sdtasdt0('#skF_16','#skF_14'),xI),
inference(splitLeft,[status(thm)],[c_842]) ).
tff(c_1365,plain,
~ aElementOf0(sdtasdt0('#skF_14','#skF_16'),xI),
inference(demodulation,[status(thm),theory(equality)],[c_1356,c_1364]) ).
tff(c_375,plain,
! [W0_162] :
( aElementOf0(W0_162,xI)
| ~ aElementOf0(W0_162,sdtasasdt0(xI,xJ)) ),
inference(cnfTransformation,[status(thm)],[f_268]) ).
tff(c_379,plain,
aElementOf0('#skF_14',xI),
inference(resolution,[status(thm)],[c_144,c_375]) ).
tff(c_1672,plain,
! [W1_198,W0_199] :
( aElementOf0(sdtasdt0(W1_198,W0_199),xI)
| ~ aElement0(W1_198)
| ~ aElementOf0(W0_199,xI) ),
inference(cnfTransformation,[status(thm)],[f_244]) ).
tff(c_1687,plain,
( aElementOf0(sdtasdt0('#skF_14','#skF_16'),xI)
| ~ aElement0('#skF_16')
| ~ aElementOf0('#skF_14',xI) ),
inference(superposition,[status(thm),theory(equality)],[c_1356,c_1672]) ).
tff(c_1759,plain,
aElementOf0(sdtasdt0('#skF_14','#skF_16'),xI),
inference(demodulation,[status(thm),theory(equality)],[c_379,c_219,c_1687]) ).
tff(c_1761,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1365,c_1759]) ).
tff(c_1762,plain,
~ aElementOf0(sdtasdt0('#skF_16','#skF_14'),xJ),
inference(splitRight,[status(thm)],[c_842]) ).
tff(c_1811,plain,
( ~ aElement0('#skF_16')
| ~ aElementOf0('#skF_14',xJ) ),
inference(resolution,[status(thm)],[c_134,c_1762]) ).
tff(c_1815,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_297,c_219,c_1811]) ).
tff(c_1816,plain,
aElementOf0('#skF_15',sdtasasdt0(xI,xJ)),
inference(splitRight,[status(thm)],[c_152]) ).
tff(c_158,plain,
! [W0_147] :
( aElementOf0(W0_147,xJ)
| ~ aElementOf0(W0_147,sdtasasdt0(xI,xJ)) ),
inference(cnfTransformation,[status(thm)],[f_268]) ).
tff(c_1999,plain,
aElementOf0('#skF_15',xJ),
inference(resolution,[status(thm)],[c_1816,c_158]) ).
tff(c_4148,plain,
! [W0_230,W1_231] :
( aElementOf0(sdtpldt0(W0_230,W1_231),xJ)
| ~ aElementOf0(W1_231,xJ)
| ~ aElementOf0(W0_230,xJ) ),
inference(cnfTransformation,[status(thm)],[f_244]) ).
tff(c_160,plain,
! [W0_147] :
( aElementOf0(W0_147,xI)
| ~ aElementOf0(W0_147,sdtasasdt0(xI,xJ)) ),
inference(cnfTransformation,[status(thm)],[f_268]) ).
tff(c_1995,plain,
aElementOf0('#skF_15',xI),
inference(resolution,[status(thm)],[c_1816,c_160]) ).
tff(c_3335,plain,
! [W0_217,W1_218] :
( aElementOf0(sdtpldt0(W0_217,W1_218),xI)
| ~ aElementOf0(W1_218,xI)
| ~ aElementOf0(W0_217,xI) ),
inference(cnfTransformation,[status(thm)],[f_244]) ).
tff(c_1817,plain,
aElementOf0(sdtasdt0('#skF_16','#skF_14'),sdtasasdt0(xI,xJ)),
inference(splitRight,[status(thm)],[c_152]) ).
tff(c_150,plain,
( ~ aElementOf0(sdtpldt0('#skF_14','#skF_15'),sdtasasdt0(xI,xJ))
| ~ aElementOf0(sdtasdt0('#skF_16','#skF_14'),sdtasasdt0(xI,xJ)) ),
inference(cnfTransformation,[status(thm)],[f_268]) ).
tff(c_1818,plain,
~ aElementOf0(sdtasdt0('#skF_16','#skF_14'),sdtasasdt0(xI,xJ)),
inference(splitLeft,[status(thm)],[c_150]) ).
tff(c_1983,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1817,c_1818]) ).
tff(c_1984,plain,
~ aElementOf0(sdtpldt0('#skF_14','#skF_15'),sdtasasdt0(xI,xJ)),
inference(splitRight,[status(thm)],[c_150]) ).
tff(c_2084,plain,
( ~ aElementOf0(sdtpldt0('#skF_14','#skF_15'),xJ)
| ~ aElementOf0(sdtpldt0('#skF_14','#skF_15'),xI) ),
inference(resolution,[status(thm)],[c_146,c_1984]) ).
tff(c_2333,plain,
~ aElementOf0(sdtpldt0('#skF_14','#skF_15'),xI),
inference(splitLeft,[status(thm)],[c_2084]) ).
tff(c_3338,plain,
( ~ aElementOf0('#skF_15',xI)
| ~ aElementOf0('#skF_14',xI) ),
inference(resolution,[status(thm)],[c_3335,c_2333]) ).
tff(c_3393,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_379,c_1995,c_3338]) ).
tff(c_3394,plain,
~ aElementOf0(sdtpldt0('#skF_14','#skF_15'),xJ),
inference(splitRight,[status(thm)],[c_2084]) ).
tff(c_4151,plain,
( ~ aElementOf0('#skF_15',xJ)
| ~ aElementOf0('#skF_14',xJ) ),
inference(resolution,[status(thm)],[c_4148,c_3394]) ).
tff(c_4200,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_297,c_1999,c_4151]) ).
tff(c_4201,plain,
aElementOf0('#skF_15',sdtasasdt0(xI,xJ)),
inference(splitRight,[status(thm)],[c_156]) ).
tff(c_4308,plain,
aElementOf0('#skF_15',xJ),
inference(resolution,[status(thm)],[c_4201,c_4301]) ).
tff(c_7785,plain,
! [W0_304,W1_305] :
( aElementOf0(sdtpldt0(W0_304,W1_305),xJ)
| ~ aElementOf0(W1_305,xJ)
| ~ aElementOf0(W0_304,xJ) ),
inference(cnfTransformation,[status(thm)],[f_244]) ).
tff(c_4207,plain,
! [W0_232] :
( aElementOf0(W0_232,xI)
| ~ aElementOf0(W0_232,sdtasasdt0(xI,xJ)) ),
inference(cnfTransformation,[status(thm)],[f_268]) ).
tff(c_4215,plain,
aElementOf0('#skF_14',xI),
inference(resolution,[status(thm)],[c_144,c_4207]) ).
tff(c_4214,plain,
aElementOf0('#skF_15',xI),
inference(resolution,[status(thm)],[c_4201,c_4207]) ).
tff(c_6406,plain,
! [W0_285,W1_286] :
( aElementOf0(sdtpldt0(W0_285,W1_286),xI)
| ~ aElementOf0(W1_286,xI)
| ~ aElementOf0(W0_285,xI) ),
inference(cnfTransformation,[status(thm)],[f_244]) ).
tff(c_4431,plain,
! [W0_242] :
( aElementOf0(W0_242,sdtasasdt0(xI,xJ))
| ~ aElementOf0(W0_242,xJ)
| ~ aElementOf0(W0_242,xI) ),
inference(cnfTransformation,[status(thm)],[f_268]) ).
tff(c_4202,plain,
~ aElement0('#skF_16'),
inference(splitRight,[status(thm)],[c_156]) ).
tff(c_154,plain,
( ~ aElementOf0(sdtpldt0('#skF_14','#skF_15'),sdtasasdt0(xI,xJ))
| aElement0('#skF_16') ),
inference(cnfTransformation,[status(thm)],[f_268]) ).
tff(c_4389,plain,
~ aElementOf0(sdtpldt0('#skF_14','#skF_15'),sdtasasdt0(xI,xJ)),
inference(negUnitSimplification,[status(thm)],[c_4202,c_154]) ).
tff(c_4444,plain,
( ~ aElementOf0(sdtpldt0('#skF_14','#skF_15'),xJ)
| ~ aElementOf0(sdtpldt0('#skF_14','#skF_15'),xI) ),
inference(resolution,[status(thm)],[c_4431,c_4389]) ).
tff(c_5087,plain,
~ aElementOf0(sdtpldt0('#skF_14','#skF_15'),xI),
inference(splitLeft,[status(thm)],[c_4444]) ).
tff(c_6412,plain,
( ~ aElementOf0('#skF_15',xI)
| ~ aElementOf0('#skF_14',xI) ),
inference(resolution,[status(thm)],[c_6406,c_5087]) ).
tff(c_6462,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4215,c_4214,c_6412]) ).
tff(c_6463,plain,
~ aElementOf0(sdtpldt0('#skF_14','#skF_15'),xJ),
inference(splitRight,[status(thm)],[c_4444]) ).
tff(c_7788,plain,
( ~ aElementOf0('#skF_15',xJ)
| ~ aElementOf0('#skF_14',xJ) ),
inference(resolution,[status(thm)],[c_7785,c_6463]) ).
tff(c_7849,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4309,c_4308,c_7788]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG093+2 : 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 : n021.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 17:53:06 EDT 2023
% 0.14/0.35 % CPUTime :
% 8.99/3.19 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.14/3.20
% 9.14/3.20 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 9.28/3.24
% 9.28/3.24 Inference rules
% 9.28/3.24 ----------------------
% 9.28/3.24 #Ref : 0
% 9.28/3.24 #Sup : 1807
% 9.28/3.24 #Fact : 0
% 9.28/3.24 #Define : 0
% 9.28/3.24 #Split : 13
% 9.28/3.24 #Chain : 0
% 9.28/3.24 #Close : 0
% 9.28/3.24
% 9.28/3.24 Ordering : KBO
% 9.28/3.24
% 9.28/3.24 Simplification rules
% 9.28/3.24 ----------------------
% 9.28/3.24 #Subsume : 67
% 9.28/3.24 #Demod : 1820
% 9.28/3.24 #Tautology : 910
% 9.28/3.24 #SimpNegUnit : 10
% 9.28/3.24 #BackRed : 14
% 9.28/3.24
% 9.28/3.24 #Partial instantiations: 0
% 9.28/3.24 #Strategies tried : 1
% 9.28/3.24
% 9.28/3.24 Timing (in seconds)
% 9.28/3.24 ----------------------
% 9.28/3.24 Preprocessing : 0.68
% 9.28/3.24 Parsing : 0.34
% 9.28/3.24 CNF conversion : 0.06
% 9.28/3.24 Main loop : 1.43
% 9.28/3.24 Inferencing : 0.48
% 9.28/3.24 Reduction : 0.51
% 9.28/3.24 Demodulation : 0.38
% 9.28/3.24 BG Simplification : 0.06
% 9.28/3.24 Subsumption : 0.27
% 9.28/3.24 Abstraction : 0.06
% 9.28/3.24 MUC search : 0.00
% 9.28/3.24 Cooper : 0.00
% 9.28/3.24 Total : 2.18
% 9.28/3.24 Index Insertion : 0.00
% 9.28/3.24 Index Deletion : 0.00
% 9.28/3.24 Index Matching : 0.00
% 9.28/3.24 BG Taut test : 0.00
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