TSTP Solution File: RNG099+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : RNG099+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/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 : n019.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 10:54:57 EDT 2023
% Result : Theorem 7.56s 2.88s
% Output : CNFRefutation 7.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 45
% Syntax : Number of formulae : 94 ( 33 unt; 32 typ; 2 def)
% Number of atoms : 120 ( 11 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 100 ( 42 ~; 34 |; 13 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 50 ( 23 >; 27 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 9 con; 0-4 aty)
% Number of variables : 31 (; 30 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdteqdtlpzmzozddtrp0 > aElementOf0 > aSet0 > aIdeal0 > aElement0 > sdtpldt1 > sdtpldt0 > sdtasdt0 > sdtasasdt0 > #nlpp > smndt0 > xy > xx > xw > xb > xa > xJ > xI > sz10 > sz00 > #skF_6 > #skF_4 > #skF_8 > #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(xa,type,
xa: $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff(sz10,type,
sz10: $i ).
tff(sdtpldt1,type,
sdtpldt1: ( $i * $i ) > $i ).
tff(xw,type,
xw: $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(xy,type,
xy: $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(xx,type,
xx: $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(xb,type,
xb: $i ).
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(sdteqdtlpzmzozddtrp0,type,
sdteqdtlpzmzozddtrp0: ( $i * $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i * $i ) > $i ).
tff(f_237,hypothesis,
( aElement0(xx)
& aElement0(xy) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1217) ).
tff(f_230,hypothesis,
( aIdeal0(xI)
& aIdeal0(xJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1205) ).
tff(f_244,hypothesis,
aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1332) ).
tff(f_227,definition,
! [W0,W1,W2] :
( ( aElement0(W0)
& aElement0(W1)
& aIdeal0(W2) )
=> ( sdteqdtlpzmzozddtrp0(W0,W1,W2)
<=> aElementOf0(sdtpldt0(W0,smndt0(W1)),W2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMod) ).
tff(f_205,definition,
! [W0] :
( aIdeal0(W0)
<=> ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> ( ! [W2] :
( aElementOf0(W2,W0)
=> aElementOf0(sdtpldt0(W1,W2),W0) )
& ! [W2] :
( aElement0(W2)
=> aElementOf0(sdtasdt0(W2,W1),W0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefIdeal) ).
tff(f_242,hypothesis,
( aElementOf0(xa,xI)
& aElementOf0(xb,xJ)
& ( sdtpldt0(xa,xb) = sz10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1294) ).
tff(f_137,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
tff(f_79,axiom,
! [W0,W1] :
( ( aElement0(W0)
& aElement0(W1) )
=> ( sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
tff(f_47,axiom,
! [W0,W1] :
( ( aElement0(W0)
& aElement0(W1) )
=> aElement0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
tff(f_243,hypothesis,
xw = sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1319) ).
tff(f_41,axiom,
! [W0,W1] :
( ( aElement0(W0)
& aElement0(W1) )
=> aElement0(sdtpldt0(W0,W1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
tff(f_245,hypothesis,
aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1409) ).
tff(f_252,negated_conjecture,
~ ? [W0] :
( aElement0(W0)
& sdteqdtlpzmzozddtrp0(W0,xx,xI)
& sdteqdtlpzmzozddtrp0(W0,xy,xJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(c_140,plain,
aElement0(xx),
inference(cnfTransformation,[status(thm)],[f_237]) ).
tff(c_134,plain,
aIdeal0(xI),
inference(cnfTransformation,[status(thm)],[f_230]) ).
tff(c_150,plain,
aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
inference(cnfTransformation,[status(thm)],[f_244]) ).
tff(c_2750,plain,
! [W0_208,W1_209,W2_210] :
( sdteqdtlpzmzozddtrp0(W0_208,W1_209,W2_210)
| ~ aElementOf0(sdtpldt0(W0_208,smndt0(W1_209)),W2_210)
| ~ aIdeal0(W2_210)
| ~ aElement0(W1_209)
| ~ aElement0(W0_208) ),
inference(cnfTransformation,[status(thm)],[f_227]) ).
tff(c_2778,plain,
( sdteqdtlpzmzozddtrp0(xw,xx,xI)
| ~ aIdeal0(xI)
| ~ aElement0(xx)
| ~ aElement0(xw) ),
inference(resolution,[status(thm)],[c_150,c_2750]) ).
tff(c_2791,plain,
( sdteqdtlpzmzozddtrp0(xw,xx,xI)
| ~ aElement0(xw) ),
inference(demodulation,[status(thm),theory(equality)],[c_140,c_134,c_2778]) ).
tff(c_2795,plain,
~ aElement0(xw),
inference(splitLeft,[status(thm)],[c_2791]) ).
tff(c_138,plain,
aElement0(xy),
inference(cnfTransformation,[status(thm)],[f_237]) ).
tff(c_108,plain,
! [W0_117] :
( aSet0(W0_117)
| ~ aIdeal0(W0_117) ),
inference(cnfTransformation,[status(thm)],[f_205]) ).
tff(c_146,plain,
aElementOf0(xa,xI),
inference(cnfTransformation,[status(thm)],[f_242]) ).
tff(c_365,plain,
! [W1_153,W0_154] :
( aElement0(W1_153)
| ~ aElementOf0(W1_153,W0_154)
| ~ aSet0(W0_154) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_380,plain,
( aElement0(xa)
| ~ aSet0(xI) ),
inference(resolution,[status(thm)],[c_146,c_365]) ).
tff(c_429,plain,
~ aSet0(xI),
inference(splitLeft,[status(thm)],[c_380]) ).
tff(c_432,plain,
~ aIdeal0(xI),
inference(resolution,[status(thm)],[c_108,c_429]) ).
tff(c_436,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_134,c_432]) ).
tff(c_437,plain,
aElement0(xa),
inference(splitRight,[status(thm)],[c_380]) ).
tff(c_988,plain,
! [W1_176,W0_177] :
( ( sdtasdt0(W1_176,W0_177) = sdtasdt0(W0_177,W1_176) )
| ~ aElement0(W1_176)
| ~ aElement0(W0_177) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_1639,plain,
! [W0_192] :
( ( sdtasdt0(xy,W0_192) = sdtasdt0(W0_192,xy) )
| ~ aElement0(W0_192) ),
inference(resolution,[status(thm)],[c_138,c_988]) ).
tff(c_1693,plain,
sdtasdt0(xy,xa) = sdtasdt0(xa,xy),
inference(resolution,[status(thm)],[c_437,c_1639]) ).
tff(c_12,plain,
! [W0_5,W1_6] :
( aElement0(sdtasdt0(W0_5,W1_6))
| ~ aElement0(W1_6)
| ~ aElement0(W0_5) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_1710,plain,
( aElement0(sdtasdt0(xa,xy))
| ~ aElement0(xa)
| ~ aElement0(xy) ),
inference(superposition,[status(thm),theory(equality)],[c_1693,c_12]) ).
tff(c_1716,plain,
aElement0(sdtasdt0(xa,xy)),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_437,c_1710]) ).
tff(c_132,plain,
aIdeal0(xJ),
inference(cnfTransformation,[status(thm)],[f_230]) ).
tff(c_144,plain,
aElementOf0(xb,xJ),
inference(cnfTransformation,[status(thm)],[f_242]) ).
tff(c_381,plain,
( aElement0(xb)
| ~ aSet0(xJ) ),
inference(resolution,[status(thm)],[c_144,c_365]) ).
tff(c_386,plain,
~ aSet0(xJ),
inference(splitLeft,[status(thm)],[c_381]) ).
tff(c_389,plain,
~ aIdeal0(xJ),
inference(resolution,[status(thm)],[c_108,c_386]) ).
tff(c_393,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_132,c_389]) ).
tff(c_394,plain,
aElement0(xb),
inference(splitRight,[status(thm)],[c_381]) ).
tff(c_1190,plain,
! [W0_184] :
( ( sdtasdt0(xx,W0_184) = sdtasdt0(W0_184,xx) )
| ~ aElement0(W0_184) ),
inference(resolution,[status(thm)],[c_140,c_988]) ).
tff(c_1233,plain,
sdtasdt0(xx,xb) = sdtasdt0(xb,xx),
inference(resolution,[status(thm)],[c_394,c_1190]) ).
tff(c_1289,plain,
( aElement0(sdtasdt0(xb,xx))
| ~ aElement0(xb)
| ~ aElement0(xx) ),
inference(superposition,[status(thm),theory(equality)],[c_1233,c_12]) ).
tff(c_1293,plain,
aElement0(sdtasdt0(xb,xx)),
inference(demodulation,[status(thm),theory(equality)],[c_140,c_394,c_1289]) ).
tff(c_148,plain,
sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)) = xw,
inference(cnfTransformation,[status(thm)],[f_243]) ).
tff(c_1285,plain,
sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xb,xx)) = xw,
inference(demodulation,[status(thm),theory(equality)],[c_1233,c_148]) ).
tff(c_4674,plain,
sdtpldt0(sdtasdt0(xa,xy),sdtasdt0(xb,xx)) = xw,
inference(demodulation,[status(thm),theory(equality)],[c_1693,c_1285]) ).
tff(c_10,plain,
! [W0_3,W1_4] :
( aElement0(sdtpldt0(W0_3,W1_4))
| ~ aElement0(W1_4)
| ~ aElement0(W0_3) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_4687,plain,
( aElement0(xw)
| ~ aElement0(sdtasdt0(xb,xx))
| ~ aElement0(sdtasdt0(xa,xy)) ),
inference(superposition,[status(thm),theory(equality)],[c_4674,c_10]) ).
tff(c_4693,plain,
aElement0(xw),
inference(demodulation,[status(thm),theory(equality)],[c_1716,c_1293,c_4687]) ).
tff(c_4695,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2795,c_4693]) ).
tff(c_4697,plain,
aElement0(xw),
inference(splitRight,[status(thm)],[c_2791]) ).
tff(c_4696,plain,
sdteqdtlpzmzozddtrp0(xw,xx,xI),
inference(splitRight,[status(thm)],[c_2791]) ).
tff(c_152,plain,
aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_2781,plain,
( sdteqdtlpzmzozddtrp0(xw,xy,xJ)
| ~ aIdeal0(xJ)
| ~ aElement0(xy)
| ~ aElement0(xw) ),
inference(resolution,[status(thm)],[c_152,c_2750]) ).
tff(c_2794,plain,
( sdteqdtlpzmzozddtrp0(xw,xy,xJ)
| ~ aElement0(xw) ),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_132,c_2781]) ).
tff(c_4871,plain,
sdteqdtlpzmzozddtrp0(xw,xy,xJ),
inference(demodulation,[status(thm),theory(equality)],[c_4697,c_2794]) ).
tff(c_154,plain,
! [W0_143] :
( ~ sdteqdtlpzmzozddtrp0(W0_143,xy,xJ)
| ~ sdteqdtlpzmzozddtrp0(W0_143,xx,xI)
| ~ aElement0(W0_143) ),
inference(cnfTransformation,[status(thm)],[f_252]) ).
tff(c_4874,plain,
( ~ sdteqdtlpzmzozddtrp0(xw,xx,xI)
| ~ aElement0(xw) ),
inference(resolution,[status(thm)],[c_4871,c_154]) ).
tff(c_4878,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4697,c_4696,c_4874]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : RNG099+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % 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
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 17:57:01 EDT 2023
% 0.15/0.36 % CPUTime :
% 7.56/2.88 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.56/2.89
% 7.56/2.89 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.56/2.92
% 7.56/2.92 Inference rules
% 7.56/2.92 ----------------------
% 7.56/2.92 #Ref : 0
% 7.56/2.92 #Sup : 1153
% 7.56/2.92 #Fact : 0
% 7.56/2.92 #Define : 0
% 7.56/2.92 #Split : 3
% 7.56/2.92 #Chain : 0
% 7.56/2.92 #Close : 0
% 7.56/2.92
% 7.56/2.92 Ordering : KBO
% 7.56/2.92
% 7.56/2.92 Simplification rules
% 7.56/2.92 ----------------------
% 7.56/2.92 #Subsume : 18
% 7.56/2.92 #Demod : 826
% 7.56/2.92 #Tautology : 481
% 7.56/2.92 #SimpNegUnit : 16
% 7.56/2.92 #BackRed : 1
% 7.56/2.92
% 7.56/2.92 #Partial instantiations: 0
% 7.56/2.92 #Strategies tried : 1
% 7.56/2.92
% 7.56/2.92 Timing (in seconds)
% 7.56/2.92 ----------------------
% 7.95/2.92 Preprocessing : 0.65
% 7.95/2.92 Parsing : 0.32
% 7.95/2.93 CNF conversion : 0.06
% 7.95/2.93 Main loop : 1.12
% 7.95/2.93 Inferencing : 0.36
% 7.95/2.93 Reduction : 0.38
% 7.95/2.93 Demodulation : 0.29
% 7.95/2.93 BG Simplification : 0.06
% 7.95/2.93 Subsumption : 0.23
% 7.95/2.93 Abstraction : 0.05
% 7.95/2.93 MUC search : 0.00
% 7.95/2.93 Cooper : 0.00
% 7.95/2.93 Total : 1.82
% 7.95/2.93 Index Insertion : 0.00
% 7.95/2.93 Index Deletion : 0.00
% 7.95/2.93 Index Matching : 0.00
% 7.95/2.93 BG Taut test : 0.00
%------------------------------------------------------------------------------