TSTP Solution File: RNG088+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : RNG088+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 : n026.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 10:54:55 EDT 2023
% Result : Theorem 7.10s 2.89s
% Output : CNFRefutation 7.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 38
% Syntax : Number of formulae : 53 ( 10 unt; 33 typ; 1 def)
% Number of atoms : 43 ( 2 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 40 ( 17 ~; 11 |; 8 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 29 ( 29 usr; 11 con; 0-4 aty)
% Number of variables : 10 (; 10 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ aElementOf0 > aSet0 > aIdeal0 > aElement0 > sdtpldt1 > sdtpldt0 > sdtasdt0 > sdtasasdt0 > #nlpp > smndt0 > xz > xy > xx > xn > xm > xl > xk > 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(xk,type,
xk: $i ).
tff(xl,type,
xl: $i ).
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(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(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(xz,type,
xz: $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(xm,type,
xm: $i ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff(xn,type,
xn: $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i * $i ) > $i ).
tff(f_208,hypothesis,
( aIdeal0(xI)
& aIdeal0(xJ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__870) ).
tff(f_218,hypothesis,
( aElementOf0(xk,xI)
& aElementOf0(xl,xJ)
& ( xx = sdtpldt0(xk,xl) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__934) ).
tff(f_223,hypothesis,
( aElementOf0(xm,xI)
& aElementOf0(xn,xJ)
& ( xy = sdtpldt0(xm,xn) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__967) ).
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/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).
tff(f_227,negated_conjecture,
~ ( aElementOf0(sdtpldt0(xk,xm),xI)
& aElementOf0(sdtpldt0(xl,xn),xJ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
tff(c_124,plain,
aIdeal0(xJ),
inference(cnfTransformation,[status(thm)],[f_208]) ).
tff(c_136,plain,
aElementOf0(xl,xJ),
inference(cnfTransformation,[status(thm)],[f_218]) ).
tff(c_142,plain,
aElementOf0(xn,xJ),
inference(cnfTransformation,[status(thm)],[f_223]) ).
tff(c_5849,plain,
! [W1_239,W2_240,W0_241] :
( aElementOf0(sdtpldt0(W1_239,W2_240),W0_241)
| ~ aElementOf0(W2_240,W0_241)
| ~ aElementOf0(W1_239,W0_241)
| ~ aIdeal0(W0_241) ),
inference(cnfTransformation,[status(thm)],[f_205]) ).
tff(c_126,plain,
aIdeal0(xI),
inference(cnfTransformation,[status(thm)],[f_208]) ).
tff(c_138,plain,
aElementOf0(xk,xI),
inference(cnfTransformation,[status(thm)],[f_218]) ).
tff(c_144,plain,
aElementOf0(xm,xI),
inference(cnfTransformation,[status(thm)],[f_223]) ).
tff(c_2061,plain,
! [W1_180,W2_181,W0_182] :
( aElementOf0(sdtpldt0(W1_180,W2_181),W0_182)
| ~ aElementOf0(W2_181,W0_182)
| ~ aElementOf0(W1_180,W0_182)
| ~ aIdeal0(W0_182) ),
inference(cnfTransformation,[status(thm)],[f_205]) ).
tff(c_146,plain,
( ~ aElementOf0(sdtpldt0(xl,xn),xJ)
| ~ aElementOf0(sdtpldt0(xk,xm),xI) ),
inference(cnfTransformation,[status(thm)],[f_227]) ).
tff(c_147,plain,
~ aElementOf0(sdtpldt0(xk,xm),xI),
inference(splitLeft,[status(thm)],[c_146]) ).
tff(c_2075,plain,
( ~ aElementOf0(xm,xI)
| ~ aElementOf0(xk,xI)
| ~ aIdeal0(xI) ),
inference(resolution,[status(thm)],[c_2061,c_147]) ).
tff(c_2166,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_126,c_138,c_144,c_2075]) ).
tff(c_2167,plain,
~ aElementOf0(sdtpldt0(xl,xn),xJ),
inference(splitRight,[status(thm)],[c_146]) ).
tff(c_5863,plain,
( ~ aElementOf0(xn,xJ)
| ~ aElementOf0(xl,xJ)
| ~ aIdeal0(xJ) ),
inference(resolution,[status(thm)],[c_5849,c_2167]) ).
tff(c_5969,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_124,c_136,c_142,c_5863]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG088+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 : n026.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 18:22:32 EDT 2023
% 0.14/0.35 % CPUTime :
% 7.10/2.89 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.10/2.89
% 7.10/2.89 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.80/2.92
% 7.80/2.92 Inference rules
% 7.80/2.92 ----------------------
% 7.80/2.92 #Ref : 0
% 7.80/2.92 #Sup : 1482
% 7.80/2.92 #Fact : 0
% 7.80/2.92 #Define : 0
% 7.80/2.92 #Split : 7
% 7.80/2.92 #Chain : 0
% 7.80/2.92 #Close : 0
% 7.80/2.92
% 7.80/2.92 Ordering : KBO
% 7.80/2.92
% 7.80/2.92 Simplification rules
% 7.80/2.92 ----------------------
% 7.80/2.92 #Subsume : 9
% 7.80/2.92 #Demod : 957
% 7.80/2.92 #Tautology : 732
% 7.80/2.92 #SimpNegUnit : 38
% 7.80/2.92 #BackRed : 0
% 7.80/2.92
% 7.80/2.92 #Partial instantiations: 0
% 7.80/2.92 #Strategies tried : 1
% 7.80/2.92
% 7.80/2.92 Timing (in seconds)
% 7.80/2.92 ----------------------
% 7.80/2.92 Preprocessing : 0.65
% 7.80/2.92 Parsing : 0.33
% 7.80/2.92 CNF conversion : 0.05
% 7.80/2.92 Main loop : 1.21
% 7.80/2.92 Inferencing : 0.41
% 7.80/2.92 Reduction : 0.43
% 7.80/2.92 Demodulation : 0.32
% 7.80/2.92 BG Simplification : 0.05
% 7.80/2.92 Subsumption : 0.23
% 7.80/2.93 Abstraction : 0.05
% 7.80/2.93 MUC search : 0.00
% 7.80/2.93 Cooper : 0.00
% 7.80/2.93 Total : 1.91
% 7.80/2.93 Index Insertion : 0.00
% 7.80/2.93 Index Deletion : 0.00
% 7.80/2.93 Index Matching : 0.00
% 7.80/2.93 BG Taut test : 0.00
%------------------------------------------------------------------------------