TSTP Solution File: RNG097+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : RNG097+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 : n029.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 24.57s 11.65s
% Output : CNFRefutation 24.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 45
% Syntax : Number of formulae : 103 ( 33 unt; 32 typ; 1 def)
% Number of atoms : 154 ( 27 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 154 ( 71 ~; 59 |; 12 &)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 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 : 47 (; 47 !; 0 ?; 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_230,hypothesis,
( aIdeal0(xI)
& aIdeal0(xJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1205) ).
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_31,axiom,
aElement0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
tff(f_35,axiom,
! [W0] :
( aElement0(W0)
=> aElement0(smndt0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsU) ).
tff(f_109,axiom,
! [W0] :
( aElement0(W0)
=> ( ( sdtasdt0(smndt0(sz10),W0) = smndt0(W0) )
& ( smndt0(W0) = sdtasdt0(W0,smndt0(sz10)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulMnOne) ).
tff(f_67,axiom,
! [W0] :
( aElement0(W0)
=> ( ( sdtpldt0(W0,sz00) = W0 )
& ( W0 = sdtpldt0(sz00,W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
tff(f_53,axiom,
! [W0,W1] :
( ( aElement0(W0)
& aElement0(W1) )
=> ( sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
tff(f_73,axiom,
! [W0] :
( aElement0(W0)
=> ( ( sdtpldt0(W0,smndt0(W0)) = sz00 )
& ( sz00 = sdtpldt0(smndt0(W0),W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddInvr) ).
tff(f_61,axiom,
! [W0,W1,W2] :
( ( aElement0(W0)
& aElement0(W1)
& aElement0(W2) )
=> ( sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
tff(f_237,hypothesis,
( aElement0(xx)
& aElement0(xy) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1217) ).
tff(f_246,negated_conjecture,
~ aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(c_134,plain,
aIdeal0(xI),
inference(cnfTransformation,[status(thm)],[f_230]) ).
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_375,plain,
! [W1_152,W0_153] :
( aElement0(W1_152)
| ~ aElementOf0(W1_152,W0_153)
| ~ aSet0(W0_153) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_383,plain,
( aElement0(xa)
| ~ aSet0(xI) ),
inference(resolution,[status(thm)],[c_146,c_375]) ).
tff(c_418,plain,
~ aSet0(xI),
inference(splitLeft,[status(thm)],[c_383]) ).
tff(c_430,plain,
~ aIdeal0(xI),
inference(resolution,[status(thm)],[c_108,c_418]) ).
tff(c_434,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_134,c_430]) ).
tff(c_435,plain,
aElement0(xa),
inference(splitRight,[status(thm)],[c_383]) ).
tff(c_6,plain,
aElement0(sz10),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_8,plain,
! [W0_2] :
( aElement0(smndt0(W0_2))
| ~ aElement0(W0_2) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_40,plain,
! [W0_23] :
( ( sdtasdt0(smndt0(sz10),W0_23) = smndt0(W0_23) )
| ~ aElement0(W0_23) ),
inference(cnfTransformation,[status(thm)],[f_109]) ).
tff(c_436,plain,
aSet0(xI),
inference(splitRight,[status(thm)],[c_383]) ).
tff(c_1363,plain,
! [W2_187,W1_188,W0_189] :
( aElementOf0(sdtasdt0(W2_187,W1_188),W0_189)
| ~ aElement0(W2_187)
| ~ aElementOf0(W1_188,W0_189)
| ~ aIdeal0(W0_189) ),
inference(cnfTransformation,[status(thm)],[f_205]) ).
tff(c_52,plain,
! [W1_30,W0_28] :
( aElement0(W1_30)
| ~ aElementOf0(W1_30,W0_28)
| ~ aSet0(W0_28) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_26299,plain,
! [W2_349,W1_350,W0_351] :
( aElement0(sdtasdt0(W2_349,W1_350))
| ~ aSet0(W0_351)
| ~ aElement0(W2_349)
| ~ aElementOf0(W1_350,W0_351)
| ~ aIdeal0(W0_351) ),
inference(resolution,[status(thm)],[c_1363,c_52]) ).
tff(c_26361,plain,
! [W2_349] :
( aElement0(sdtasdt0(W2_349,xa))
| ~ aSet0(xI)
| ~ aElement0(W2_349)
| ~ aIdeal0(xI) ),
inference(resolution,[status(thm)],[c_146,c_26299]) ).
tff(c_26536,plain,
! [W2_353] :
( aElement0(sdtasdt0(W2_353,xa))
| ~ aElement0(W2_353) ),
inference(demodulation,[status(thm),theory(equality)],[c_134,c_436,c_26361]) ).
tff(c_26630,plain,
( aElement0(smndt0(xa))
| ~ aElement0(smndt0(sz10))
| ~ aElement0(xa) ),
inference(superposition,[status(thm),theory(equality)],[c_40,c_26536]) ).
tff(c_26673,plain,
( aElement0(smndt0(xa))
| ~ aElement0(smndt0(sz10)) ),
inference(demodulation,[status(thm),theory(equality)],[c_435,c_26630]) ).
tff(c_26676,plain,
~ aElement0(smndt0(sz10)),
inference(splitLeft,[status(thm)],[c_26673]) ).
tff(c_26680,plain,
~ aElement0(sz10),
inference(resolution,[status(thm)],[c_8,c_26676]) ).
tff(c_26684,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_26680]) ).
tff(c_26686,plain,
aElement0(smndt0(sz10)),
inference(splitRight,[status(thm)],[c_26673]) ).
tff(c_1409,plain,
! [W0_23,W0_189] :
( aElementOf0(smndt0(W0_23),W0_189)
| ~ aElement0(smndt0(sz10))
| ~ aElementOf0(W0_23,W0_189)
| ~ aIdeal0(W0_189)
| ~ aElement0(W0_23) ),
inference(superposition,[status(thm),theory(equality)],[c_40,c_1363]) ).
tff(c_28442,plain,
! [W0_23,W0_189] :
( aElementOf0(smndt0(W0_23),W0_189)
| ~ aElementOf0(W0_23,W0_189)
| ~ aIdeal0(W0_189)
| ~ aElement0(W0_23) ),
inference(demodulation,[status(thm),theory(equality)],[c_26686,c_1409]) ).
tff(c_26685,plain,
aElement0(smndt0(xa)),
inference(splitRight,[status(thm)],[c_26673]) ).
tff(c_18,plain,
! [W0_12] :
( ( sdtpldt0(sz00,W0_12) = W0_12 )
| ~ aElement0(W0_12) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_26767,plain,
sdtpldt0(sz00,smndt0(xa)) = smndt0(xa),
inference(resolution,[status(thm)],[c_26685,c_18]) ).
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_382,plain,
( aElement0(xb)
| ~ aSet0(xJ) ),
inference(resolution,[status(thm)],[c_144,c_375]) ).
tff(c_384,plain,
~ aSet0(xJ),
inference(splitLeft,[status(thm)],[c_382]) ).
tff(c_387,plain,
~ aIdeal0(xJ),
inference(resolution,[status(thm)],[c_108,c_384]) ).
tff(c_391,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_132,c_387]) ).
tff(c_392,plain,
aElement0(xb),
inference(splitRight,[status(thm)],[c_382]) ).
tff(c_929,plain,
! [W1_176,W0_177] :
( ( sdtpldt0(W1_176,W0_177) = sdtpldt0(W0_177,W1_176) )
| ~ aElement0(W1_176)
| ~ aElement0(W0_177) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_954,plain,
! [W0_177] :
( ( sdtpldt0(xb,W0_177) = sdtpldt0(W0_177,xb) )
| ~ aElement0(W0_177) ),
inference(resolution,[status(thm)],[c_392,c_929]) ).
tff(c_26840,plain,
sdtpldt0(smndt0(sz10),xb) = sdtpldt0(xb,smndt0(sz10)),
inference(resolution,[status(thm)],[c_26686,c_954]) ).
tff(c_957,plain,
! [W0_177] :
( ( sdtpldt0(sz10,W0_177) = sdtpldt0(W0_177,sz10) )
| ~ aElement0(W0_177) ),
inference(resolution,[status(thm)],[c_6,c_929]) ).
tff(c_26764,plain,
sdtpldt0(smndt0(xa),sz10) = sdtpldt0(sz10,smndt0(xa)),
inference(resolution,[status(thm)],[c_26685,c_957]) ).
tff(c_412,plain,
sdtpldt0(sz00,xb) = xb,
inference(resolution,[status(thm)],[c_392,c_18]) ).
tff(c_142,plain,
sdtpldt0(xa,xb) = sz10,
inference(cnfTransformation,[status(thm)],[f_242]) ).
tff(c_22,plain,
! [W0_13] :
( ( sdtpldt0(smndt0(W0_13),W0_13) = sz00 )
| ~ aElement0(W0_13) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_3965,plain,
! [W0_221,W1_222,W2_223] :
( ( sdtpldt0(sdtpldt0(W0_221,W1_222),W2_223) = sdtpldt0(W0_221,sdtpldt0(W1_222,W2_223)) )
| ~ aElement0(W2_223)
| ~ aElement0(W1_222)
| ~ aElement0(W0_221) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_46528,plain,
! [W0_420,W2_421] :
( ( sdtpldt0(smndt0(W0_420),sdtpldt0(W0_420,W2_421)) = sdtpldt0(sz00,W2_421) )
| ~ aElement0(W2_421)
| ~ aElement0(W0_420)
| ~ aElement0(smndt0(W0_420))
| ~ aElement0(W0_420) ),
inference(superposition,[status(thm),theory(equality)],[c_22,c_3965]) ).
tff(c_46963,plain,
( ( sdtpldt0(smndt0(xa),sz10) = sdtpldt0(sz00,xb) )
| ~ aElement0(xb)
| ~ aElement0(xa)
| ~ aElement0(smndt0(xa))
| ~ aElement0(xa) ),
inference(superposition,[status(thm),theory(equality)],[c_142,c_46528]) ).
tff(c_47185,plain,
sdtpldt0(sz10,smndt0(xa)) = xb,
inference(demodulation,[status(thm),theory(equality)],[c_435,c_26685,c_435,c_392,c_26764,c_412,c_46963]) ).
tff(c_4039,plain,
! [W0_13,W2_223] :
( ( sdtpldt0(smndt0(W0_13),sdtpldt0(W0_13,W2_223)) = sdtpldt0(sz00,W2_223) )
| ~ aElement0(W2_223)
| ~ aElement0(W0_13)
| ~ aElement0(smndt0(W0_13))
| ~ aElement0(W0_13) ),
inference(superposition,[status(thm),theory(equality)],[c_22,c_3965]) ).
tff(c_47196,plain,
( ( sdtpldt0(smndt0(sz10),xb) = sdtpldt0(sz00,smndt0(xa)) )
| ~ aElement0(smndt0(xa))
| ~ aElement0(sz10)
| ~ aElement0(smndt0(sz10))
| ~ aElement0(sz10) ),
inference(superposition,[status(thm),theory(equality)],[c_47185,c_4039]) ).
tff(c_47260,plain,
sdtpldt0(xb,smndt0(sz10)) = smndt0(xa),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_26686,c_6,c_26685,c_26767,c_26840,c_47196]) ).
tff(c_140,plain,
aElement0(xx),
inference(cnfTransformation,[status(thm)],[f_237]) ).
tff(c_152,plain,
~ aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
inference(cnfTransformation,[status(thm)],[f_246]) ).
tff(c_1373,plain,
( ~ aElement0(xx)
| ~ aElementOf0(sdtpldt0(xb,smndt0(sz10)),xI)
| ~ aIdeal0(xI) ),
inference(resolution,[status(thm)],[c_1363,c_152]) ).
tff(c_1468,plain,
~ aElementOf0(sdtpldt0(xb,smndt0(sz10)),xI),
inference(demodulation,[status(thm),theory(equality)],[c_134,c_140,c_1373]) ).
tff(c_48386,plain,
~ aElementOf0(smndt0(xa),xI),
inference(demodulation,[status(thm),theory(equality)],[c_47260,c_1468]) ).
tff(c_48494,plain,
( ~ aElementOf0(xa,xI)
| ~ aIdeal0(xI)
| ~ aElement0(xa) ),
inference(resolution,[status(thm)],[c_28442,c_48386]) ).
tff(c_48498,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_435,c_134,c_146,c_48494]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG097+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/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
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 18:19:07 EDT 2023
% 0.13/0.35 % CPUTime :
% 24.57/11.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.57/11.66
% 24.57/11.66 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 24.57/11.70
% 24.57/11.70 Inference rules
% 24.57/11.70 ----------------------
% 24.57/11.70 #Ref : 0
% 24.57/11.70 #Sup : 10770
% 24.57/11.70 #Fact : 0
% 24.57/11.70 #Define : 0
% 24.57/11.70 #Split : 23
% 24.57/11.70 #Chain : 0
% 24.57/11.70 #Close : 0
% 24.57/11.70
% 24.57/11.70 Ordering : KBO
% 24.57/11.70
% 24.57/11.70 Simplification rules
% 24.57/11.70 ----------------------
% 24.57/11.70 #Subsume : 915
% 24.57/11.70 #Demod : 18794
% 24.57/11.70 #Tautology : 4487
% 24.57/11.70 #SimpNegUnit : 102
% 24.57/11.70 #BackRed : 53
% 24.57/11.70
% 24.57/11.70 #Partial instantiations: 0
% 24.57/11.70 #Strategies tried : 1
% 24.57/11.70
% 24.57/11.70 Timing (in seconds)
% 24.57/11.70 ----------------------
% 24.57/11.70 Preprocessing : 0.65
% 24.57/11.70 Parsing : 0.32
% 24.57/11.70 CNF conversion : 0.06
% 24.57/11.70 Main loop : 9.93
% 24.57/11.70 Inferencing : 1.54
% 24.57/11.70 Reduction : 6.12
% 24.57/11.70 Demodulation : 5.47
% 24.57/11.70 BG Simplification : 0.13
% 24.57/11.70 Subsumption : 1.76
% 24.57/11.70 Abstraction : 0.19
% 24.57/11.70 MUC search : 0.00
% 24.57/11.70 Cooper : 0.00
% 24.57/11.70 Total : 10.64
% 24.57/11.70 Index Insertion : 0.00
% 24.57/11.70 Index Deletion : 0.00
% 24.57/11.70 Index Matching : 0.00
% 24.57/11.70 BG Taut test : 0.00
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