TSTP Solution File: RNG119+4 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : RNG119+4 : 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 : n025.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 10:55:01 EDT 2023
% Result : Theorem 84.98s 67.67s
% Output : CNFRefutation 85.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 87
% Syntax : Number of formulae : 190 ( 65 unt; 71 typ; 0 def)
% Number of atoms : 256 ( 115 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 215 ( 78 ~; 70 |; 50 &)
% ( 5 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 95 ( 48 >; 47 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 60 ( 60 usr; 23 con; 0-4 aty)
% Number of variables : 76 (; 57 !; 19 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdteqdtlpzmzozddtrp0 > aGcdOfAnd0 > misRelativelyPrime0 > iLess0 > doDivides0 > aElementOf0 > aDivisorOf0 > aSet0 > aNaturalNumber0 > aIdeal0 > aElement0 > sdtpldt1 > sdtpldt0 > sdtasdt0 > sdtasasdt0 > #nlpp > smndt0 > slsdtgt0 > sbrdtbr0 > xu > xr > xq > xc > xb > xa > xI > sz10 > sz00 > #skF_33 > #skF_41 > #skF_22 > #skF_24 > #skF_6 > #skF_31 > #skF_17 > #skF_25 > #skF_20 > #skF_36 > #skF_43 > #skF_40 > #skF_4 > #skF_37 > #skF_8 > #skF_14 > #skF_15 > #skF_29 > #skF_26 > #skF_18 > #skF_23 > #skF_28 > #skF_5 > #skF_19 > #skF_38 > #skF_7 > #skF_32 > #skF_39 > #skF_9 > #skF_13 > #skF_42 > #skF_11 > #skF_3 > #skF_2 > #skF_35 > #skF_27 > #skF_44 > #skF_12 > #skF_1 > #skF_16 > #skF_21 > #skF_30 > #skF_10 > #skF_34
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_33',type,
'#skF_33': $i ).
tff('#skF_41',type,
'#skF_41': $i ).
tff(xq,type,
xq: $i ).
tff('#skF_22',type,
'#skF_22': ( $i * $i ) > $i ).
tff(xr,type,
xr: $i ).
tff(sbrdtbr0,type,
sbrdtbr0: $i > $i ).
tff(sdtasdt0,type,
sdtasdt0: ( $i * $i ) > $i ).
tff(aSet0,type,
aSet0: $i > $o ).
tff('#skF_24',type,
'#skF_24': $i > $i ).
tff(xa,type,
xa: $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff(sz10,type,
sz10: $i ).
tff('#skF_31',type,
'#skF_31': $i ).
tff(sdtpldt1,type,
sdtpldt1: ( $i * $i ) > $i ).
tff('#skF_17',type,
'#skF_17': ( $i * $i ) > $i ).
tff('#skF_25',type,
'#skF_25': $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i ) > $i ).
tff(aElement0,type,
aElement0: $i > $o ).
tff('#skF_36',type,
'#skF_36': $i ).
tff(sz00,type,
sz00: $i ).
tff('#skF_43',type,
'#skF_43': $i ).
tff(misRelativelyPrime0,type,
misRelativelyPrime0: ( $i * $i ) > $o ).
tff(xu,type,
xu: $i ).
tff('#skF_40',type,
'#skF_40': $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff('#skF_37',type,
'#skF_37': $i ).
tff(aIdeal0,type,
aIdeal0: $i > $o ).
tff(xI,type,
xI: $i ).
tff(xc,type,
xc: $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i * $i ) > $i ).
tff('#skF_29',type,
'#skF_29': $i > $i ).
tff('#skF_26',type,
'#skF_26': $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i ) > $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i * $i ) > $i ).
tff(aNaturalNumber0,type,
aNaturalNumber0: $i > $o ).
tff('#skF_28',type,
'#skF_28': $i > $i ).
tff(slsdtgt0,type,
slsdtgt0: $i > $i ).
tff(smndt0,type,
smndt0: $i > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i * $i ) > $i ).
tff('#skF_38',type,
'#skF_38': $i > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i * $i ) > $i ).
tff(doDivides0,type,
doDivides0: ( $i * $i ) > $o ).
tff('#skF_32',type,
'#skF_32': $i ).
tff(aGcdOfAnd0,type,
aGcdOfAnd0: ( $i * $i * $i ) > $o ).
tff(aElementOf0,type,
aElementOf0: ( $i * $i ) > $o ).
tff('#skF_39',type,
'#skF_39': $i > $i ).
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_42',type,
'#skF_42': $i ).
tff('#skF_11',type,
'#skF_11': $i > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i ) > $i ).
tff(aDivisorOf0,type,
aDivisorOf0: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff('#skF_35',type,
'#skF_35': $i ).
tff(sdtasasdt0,type,
sdtasasdt0: ( $i * $i ) > $i ).
tff(iLess0,type,
iLess0: ( $i * $i ) > $o ).
tff('#skF_27',type,
'#skF_27': $i > $i ).
tff('#skF_44',type,
'#skF_44': $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_16',type,
'#skF_16': ( $i * $i ) > $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i ) > $i ).
tff('#skF_30',type,
'#skF_30': $i > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i * $i ) > $i ).
tff('#skF_34',type,
'#skF_34': $i ).
tff(f_452,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)
& ! [W0] :
( aElementOf0(W0,slsdtgt0(xa))
<=> ? [W1] :
( aElement0(W1)
& ( sdtasdt0(xa,W1) = W0 ) ) )
& ! [W0] :
( aElementOf0(W0,slsdtgt0(xb))
<=> ? [W1] :
( aElement0(W1)
& ( sdtasdt0(xb,W1) = W0 ) ) )
& ! [W0] :
( aElementOf0(W0,xI)
<=> ? [W1,W2] :
( aElementOf0(W1,slsdtgt0(xa))
& aElementOf0(W2,slsdtgt0(xb))
& ( sdtpldt0(W1,W2) = W0 ) ) )
& ( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2174) ).
tff(f_534,hypothesis,
( ? [W0,W1] :
( aElementOf0(W0,slsdtgt0(xa))
& aElementOf0(W1,slsdtgt0(xb))
& ( sdtpldt0(W0,W1) = xu ) )
& aElementOf0(xu,xI)
& ( xu != sz00 )
& ! [W0] :
( ( ( ? [W1,W2] :
( aElementOf0(W1,slsdtgt0(xa))
& aElementOf0(W2,slsdtgt0(xb))
& ( sdtpldt0(W1,W2) = W0 ) )
| aElementOf0(W0,xI) )
& ( W0 != sz00 ) )
=> ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2273) ).
tff(f_137,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
tff(f_582,hypothesis,
( aElement0(xq)
& aElement0(xr)
& ( xb = sdtpldt0(sdtasdt0(xq,xu),xr) )
& ( ( xr = sz00 )
| iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2666) ).
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_573,hypothesis,
~ ( ? [W0] :
( aElement0(W0)
& ( sdtasdt0(xu,W0) = xb ) )
| doDivides0(xu,xb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2612) ).
tff(f_357,hypothesis,
( ( xa != sz00 )
| ( xb != sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2110) ).
tff(f_352,hypothesis,
( aElement0(xa)
& aElement0(xb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2091) ).
tff(f_479,hypothesis,
( ? [W0] :
( aElement0(W0)
& ( sdtasdt0(xa,W0) = sz00 ) )
& aElementOf0(sz00,slsdtgt0(xa))
& ? [W0] :
( aElement0(W0)
& ( sdtasdt0(xa,W0) = xa ) )
& aElementOf0(xa,slsdtgt0(xa))
& ? [W0] :
( aElement0(W0)
& ( sdtasdt0(xb,W0) = sz00 ) )
& aElementOf0(sz00,slsdtgt0(xb))
& ? [W0] :
( aElement0(W0)
& ( sdtasdt0(xb,W0) = xb ) )
& aElementOf0(xb,slsdtgt0(xb)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2203) ).
tff(f_125,axiom,
! [W0,W1] :
( ( aElement0(W0)
& aElement0(W1) )
=> ( ( sdtasdt0(W0,W1) = sz00 )
=> ( ( W0 = sz00 )
| ( W1 = sz00 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCancel) ).
tff(f_115,axiom,
! [W0] :
( aElement0(W0)
=> ( ( sdtasdt0(W0,sz00) = sz00 )
& ( sz00 = sdtasdt0(sz00,W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulZero) ).
tff(f_585,negated_conjecture,
xr != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
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_67,axiom,
! [W0] :
( aElement0(W0)
=> ( ( sdtpldt0(W0,sz00) = W0 )
& ( W0 = sdtpldt0(sz00,W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
tff(f_507,hypothesis,
? [W0] :
( ! [W1] :
( aElementOf0(W1,slsdtgt0(xa))
<=> ? [W2] :
( aElement0(W2)
& ( sdtasdt0(xa,W2) = W1 ) ) )
& ! [W1] :
( aElementOf0(W1,slsdtgt0(xb))
<=> ? [W2] :
( aElement0(W2)
& ( sdtasdt0(xb,W2) = W1 ) ) )
& ? [W1,W2] :
( aElementOf0(W1,slsdtgt0(xa))
& aElementOf0(W2,slsdtgt0(xb))
& ( sdtpldt0(W1,W2) = W0 ) )
& aElementOf0(W0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& ( W0 != sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2228) ).
tff(f_566,hypothesis,
~ ~ ( ? [W0] :
( aElement0(W0)
& ( sdtasdt0(xu,W0) = xa ) )
& doDivides0(xu,xa) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2479) ).
tff(c_300,plain,
aSet0(xI),
inference(cnfTransformation,[status(thm)],[f_452]) ).
tff(c_368,plain,
aElementOf0(xu,xI),
inference(cnfTransformation,[status(thm)],[f_534]) ).
tff(c_1498,plain,
! [W1_294,W0_295] :
( aElement0(W1_294)
| ~ aElementOf0(W1_294,W0_295)
| ~ aSet0(W0_295) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_1528,plain,
( aElement0(xu)
| ~ aSet0(xI) ),
inference(resolution,[status(thm)],[c_368,c_1498]) ).
tff(c_1546,plain,
aElement0(xu),
inference(demodulation,[status(thm),theory(equality)],[c_300,c_1528]) ).
tff(c_420,plain,
aElement0(xq),
inference(cnfTransformation,[status(thm)],[f_582]) ).
tff(c_4575,plain,
! [W1_341,W0_342] :
( ( sdtasdt0(W1_341,W0_342) = sdtasdt0(W0_342,W1_341) )
| ~ aElement0(W1_341)
| ~ aElement0(W0_342) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_71341,plain,
! [W0_627] :
( ( sdtasdt0(xq,W0_627) = sdtasdt0(W0_627,xq) )
| ~ aElement0(W0_627) ),
inference(resolution,[status(thm)],[c_420,c_4575]) ).
tff(c_72093,plain,
sdtasdt0(xu,xq) = sdtasdt0(xq,xu),
inference(resolution,[status(thm)],[c_1546,c_71341]) ).
tff(c_480,plain,
! [W0_280] :
( ( sdtasdt0(xu,W0_280) != xb )
| ~ aElement0(W0_280) ),
inference(cnfTransformation,[status(thm)],[f_573]) ).
tff(c_545,plain,
sdtasdt0(xu,xq) != xb,
inference(resolution,[status(thm)],[c_420,c_480]) ).
tff(c_104636,plain,
sdtasdt0(xq,xu) != xb,
inference(demodulation,[status(thm),theory(equality)],[c_72093,c_545]) ).
tff(c_212,plain,
( ( xb != sz00 )
| ( xa != sz00 ) ),
inference(cnfTransformation,[status(thm)],[f_357]) ).
tff(c_455,plain,
xa != sz00,
inference(splitLeft,[status(thm)],[c_212]) ).
tff(c_210,plain,
aElement0(xa),
inference(cnfTransformation,[status(thm)],[f_352]) ).
tff(c_342,plain,
aElement0('#skF_34'),
inference(cnfTransformation,[status(thm)],[f_479]) ).
tff(c_340,plain,
sdtasdt0(xa,'#skF_34') = sz00,
inference(cnfTransformation,[status(thm)],[f_479]) ).
tff(c_5834,plain,
! [W1_366,W0_367] :
( ( sz00 = W1_366 )
| ( sz00 = W0_367 )
| ( sdtasdt0(W0_367,W1_366) != sz00 )
| ~ aElement0(W1_366)
| ~ aElement0(W0_367) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_6018,plain,
( ( sz00 = '#skF_34' )
| ( xa = sz00 )
| ~ aElement0('#skF_34')
| ~ aElement0(xa) ),
inference(superposition,[status(thm),theory(equality)],[c_340,c_5834]) ).
tff(c_6330,plain,
( ( sz00 = '#skF_34' )
| ( xa = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_210,c_342,c_6018]) ).
tff(c_6331,plain,
sz00 = '#skF_34',
inference(negUnitSimplification,[status(thm)],[c_455,c_6330]) ).
tff(c_44,plain,
! [W0_24] :
( ( sdtasdt0(W0_24,sz00) = sz00 )
| ~ aElement0(W0_24) ),
inference(cnfTransformation,[status(thm)],[f_115]) ).
tff(c_1601,plain,
sdtasdt0(xu,sz00) = sz00,
inference(resolution,[status(thm)],[c_1546,c_44]) ).
tff(c_422,plain,
xr = sz00,
inference(cnfTransformation,[status(thm)],[f_585]) ).
tff(c_418,plain,
aElement0(xr),
inference(cnfTransformation,[status(thm)],[f_582]) ).
tff(c_423,plain,
aElement0(sz00),
inference(demodulation,[status(thm),theory(equality)],[c_422,c_418]) ).
tff(c_532,plain,
sdtasdt0(xu,sz00) != xb,
inference(resolution,[status(thm)],[c_423,c_480]) ).
tff(c_2755,plain,
xb != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_1601,c_532]) ).
tff(c_208,plain,
aElement0(xb),
inference(cnfTransformation,[status(thm)],[f_352]) ).
tff(c_330,plain,
aElement0('#skF_32'),
inference(cnfTransformation,[status(thm)],[f_479]) ).
tff(c_328,plain,
sdtasdt0(xb,'#skF_32') = sz00,
inference(cnfTransformation,[status(thm)],[f_479]) ).
tff(c_6014,plain,
( ( sz00 = '#skF_32' )
| ( xb = sz00 )
| ~ aElement0('#skF_32')
| ~ aElement0(xb) ),
inference(superposition,[status(thm),theory(equality)],[c_328,c_5834]) ).
tff(c_6323,plain,
( ( sz00 = '#skF_32' )
| ( xb = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_208,c_330,c_6014]) ).
tff(c_6324,plain,
sz00 = '#skF_32',
inference(negUnitSimplification,[status(thm)],[c_2755,c_6323]) ).
tff(c_6672,plain,
'#skF_32' = '#skF_34',
inference(demodulation,[status(thm),theory(equality)],[c_6331,c_6324]) ).
tff(c_416,plain,
sdtpldt0(sdtasdt0(xq,xu),xr) = xb,
inference(cnfTransformation,[status(thm)],[f_582]) ).
tff(c_424,plain,
sdtpldt0(sdtasdt0(xq,xu),sz00) = xb,
inference(demodulation,[status(thm),theory(equality)],[c_422,c_416]) ).
tff(c_6426,plain,
sdtpldt0(sdtasdt0(xq,xu),'#skF_32') = xb,
inference(demodulation,[status(thm),theory(equality)],[c_6324,c_424]) ).
tff(c_28918,plain,
sdtpldt0(sdtasdt0(xq,xu),'#skF_34') = xb,
inference(demodulation,[status(thm),theory(equality)],[c_6672,c_6426]) ).
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_104713,plain,
( aElement0(sdtasdt0(xq,xu))
| ~ aElement0(xq)
| ~ aElement0(xu) ),
inference(superposition,[status(thm),theory(equality)],[c_72093,c_12]) ).
tff(c_104777,plain,
aElement0(sdtasdt0(xq,xu)),
inference(demodulation,[status(thm),theory(equality)],[c_1546,c_420,c_104713]) ).
tff(c_20,plain,
! [W0_12] :
( ( sdtpldt0(W0_12,sz00) = W0_12 )
| ~ aElement0(W0_12) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_6440,plain,
! [W0_12] :
( ( sdtpldt0(W0_12,'#skF_32') = W0_12 )
| ~ aElement0(W0_12) ),
inference(demodulation,[status(thm),theory(equality)],[c_6324,c_20]) ).
tff(c_24794,plain,
! [W0_12] :
( ( sdtpldt0(W0_12,'#skF_34') = W0_12 )
| ~ aElement0(W0_12) ),
inference(demodulation,[status(thm),theory(equality)],[c_6672,c_6440]) ).
tff(c_105010,plain,
sdtpldt0(sdtasdt0(xq,xu),'#skF_34') = sdtasdt0(xq,xu),
inference(resolution,[status(thm)],[c_104777,c_24794]) ).
tff(c_105058,plain,
sdtasdt0(xq,xu) = xb,
inference(demodulation,[status(thm),theory(equality)],[c_28918,c_105010]) ).
tff(c_105060,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104636,c_105058]) ).
tff(c_105062,plain,
xa = sz00,
inference(splitRight,[status(thm)],[c_212]) ).
tff(c_374,plain,
aElementOf0('#skF_40',slsdtgt0(xa)),
inference(cnfTransformation,[status(thm)],[f_534]) ).
tff(c_105067,plain,
aElementOf0('#skF_40',slsdtgt0(sz00)),
inference(demodulation,[status(thm),theory(equality)],[c_105062,c_374]) ).
tff(c_362,plain,
! [W1_264] :
( ( sdtasdt0(xa,'#skF_39'(W1_264)) = W1_264 )
| ~ aElementOf0(W1_264,slsdtgt0(xa)) ),
inference(cnfTransformation,[status(thm)],[f_507]) ).
tff(c_107634,plain,
! [W1_718] :
( ( sdtasdt0(sz00,'#skF_39'(W1_718)) = W1_718 )
| ~ aElementOf0(W1_718,slsdtgt0(sz00)) ),
inference(demodulation,[status(thm),theory(equality)],[c_105062,c_105062,c_362]) ).
tff(c_107660,plain,
sdtasdt0(sz00,'#skF_39'('#skF_40')) = '#skF_40',
inference(resolution,[status(thm)],[c_105067,c_107634]) ).
tff(c_364,plain,
! [W1_264] :
( aElement0('#skF_39'(W1_264))
| ~ aElementOf0(W1_264,slsdtgt0(xa)) ),
inference(cnfTransformation,[status(thm)],[f_507]) ).
tff(c_105846,plain,
! [W1_686] :
( aElement0('#skF_39'(W1_686))
| ~ aElementOf0(W1_686,slsdtgt0(sz00)) ),
inference(demodulation,[status(thm),theory(equality)],[c_105062,c_364]) ).
tff(c_105857,plain,
aElement0('#skF_39'('#skF_40')),
inference(resolution,[status(thm)],[c_105067,c_105846]) ).
tff(c_42,plain,
! [W0_24] :
( ( sdtasdt0(sz00,W0_24) = sz00 )
| ~ aElement0(W0_24) ),
inference(cnfTransformation,[status(thm)],[f_115]) ).
tff(c_105912,plain,
sdtasdt0(sz00,'#skF_39'('#skF_40')) = sz00,
inference(resolution,[status(thm)],[c_105857,c_42]) ).
tff(c_108860,plain,
sz00 = '#skF_40',
inference(demodulation,[status(thm),theory(equality)],[c_107660,c_105912]) ).
tff(c_366,plain,
xu != sz00,
inference(cnfTransformation,[status(thm)],[f_534]) ).
tff(c_108991,plain,
xu != '#skF_40',
inference(demodulation,[status(thm),theory(equality)],[c_108860,c_366]) ).
tff(c_106146,plain,
! [W1_689,W0_690] :
( aElement0(W1_689)
| ~ aElementOf0(W1_689,W0_690)
| ~ aSet0(W0_690) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_106173,plain,
( aElement0(xu)
| ~ aSet0(xI) ),
inference(resolution,[status(thm)],[c_368,c_106146]) ).
tff(c_106189,plain,
aElement0(xu),
inference(demodulation,[status(thm),theory(equality)],[c_300,c_106173]) ).
tff(c_408,plain,
aElement0('#skF_44'),
inference(cnfTransformation,[status(thm)],[f_566]) ).
tff(c_406,plain,
sdtasdt0(xu,'#skF_44') = xa,
inference(cnfTransformation,[status(thm)],[f_566]) ).
tff(c_105097,plain,
sdtasdt0(xu,'#skF_44') = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_105062,c_406]) ).
tff(c_108978,plain,
sdtasdt0(xu,'#skF_44') = '#skF_40',
inference(demodulation,[status(thm),theory(equality)],[c_108860,c_105097]) ).
tff(c_46,plain,
! [W1_26,W0_25] :
( ( sz00 = W1_26 )
| ( sz00 = W0_25 )
| ( sdtasdt0(W0_25,W1_26) != sz00 )
| ~ aElement0(W1_26)
| ~ aElement0(W0_25) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_111350,plain,
! [W1_771,W0_772] :
( ( W1_771 = '#skF_40' )
| ( W0_772 = '#skF_40' )
| ( sdtasdt0(W0_772,W1_771) != '#skF_40' )
| ~ aElement0(W1_771)
| ~ aElement0(W0_772) ),
inference(demodulation,[status(thm),theory(equality)],[c_108860,c_108860,c_108860,c_46]) ).
tff(c_111386,plain,
( ( '#skF_40' = '#skF_44' )
| ( xu = '#skF_40' )
| ~ aElement0('#skF_44')
| ~ aElement0(xu) ),
inference(superposition,[status(thm),theory(equality)],[c_108978,c_111350]) ).
tff(c_111564,plain,
( ( '#skF_40' = '#skF_44' )
| ( xu = '#skF_40' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106189,c_408,c_111386]) ).
tff(c_111565,plain,
'#skF_40' = '#skF_44',
inference(negUnitSimplification,[status(thm)],[c_108991,c_111564]) ).
tff(c_370,plain,
sdtpldt0('#skF_40','#skF_41') = xu,
inference(cnfTransformation,[status(thm)],[f_534]) ).
tff(c_111843,plain,
sdtpldt0('#skF_44','#skF_41') = xu,
inference(demodulation,[status(thm),theory(equality)],[c_111565,c_370]) ).
tff(c_372,plain,
aElementOf0('#skF_41',slsdtgt0(xb)),
inference(cnfTransformation,[status(thm)],[f_534]) ).
tff(c_106045,plain,
! [W1_688] :
( aElement0('#skF_38'(W1_688))
| ~ aElementOf0(W1_688,slsdtgt0(xb)) ),
inference(cnfTransformation,[status(thm)],[f_507]) ).
tff(c_106061,plain,
aElement0('#skF_38'('#skF_41')),
inference(resolution,[status(thm)],[c_372,c_106045]) ).
tff(c_107523,plain,
! [W1_716] :
( ( sdtasdt0(xb,'#skF_38'(W1_716)) = W1_716 )
| ~ aElementOf0(W1_716,slsdtgt0(xb)) ),
inference(cnfTransformation,[status(thm)],[f_507]) ).
tff(c_107552,plain,
sdtasdt0(xb,'#skF_38'('#skF_41')) = '#skF_41',
inference(resolution,[status(thm)],[c_372,c_107523]) ).
tff(c_107802,plain,
( aElement0('#skF_41')
| ~ aElement0('#skF_38'('#skF_41'))
| ~ aElement0(xb) ),
inference(superposition,[status(thm),theory(equality)],[c_107552,c_12]) ).
tff(c_107808,plain,
aElement0('#skF_41'),
inference(demodulation,[status(thm),theory(equality)],[c_208,c_106061,c_107802]) ).
tff(c_18,plain,
! [W0_12] :
( ( sdtpldt0(sz00,W0_12) = W0_12 )
| ~ aElement0(W0_12) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_107831,plain,
sdtpldt0(sz00,'#skF_41') = '#skF_41',
inference(resolution,[status(thm)],[c_107808,c_18]) ).
tff(c_108874,plain,
sdtpldt0('#skF_40','#skF_41') = '#skF_41',
inference(demodulation,[status(thm),theory(equality)],[c_108860,c_107831]) ).
tff(c_126601,plain,
xu = '#skF_41',
inference(demodulation,[status(thm),theory(equality)],[c_111843,c_111565,c_108874]) ).
tff(c_105114,plain,
! [W0_674] :
( ( sdtasdt0(xu,W0_674) != xb )
| ~ aElement0(W0_674) ),
inference(cnfTransformation,[status(thm)],[f_573]) ).
tff(c_105175,plain,
sdtasdt0(xu,xq) != xb,
inference(resolution,[status(thm)],[c_420,c_105114]) ).
tff(c_126633,plain,
sdtasdt0('#skF_41',xq) != xb,
inference(demodulation,[status(thm),theory(equality)],[c_126601,c_105175]) ).
tff(c_108372,plain,
! [W1_724,W0_725] :
( ( sdtasdt0(W1_724,W0_725) = sdtasdt0(W0_725,W1_724) )
| ~ aElement0(W1_724)
| ~ aElement0(W0_725) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_137304,plain,
! [W0_1095] :
( ( sdtasdt0(xq,W0_1095) = sdtasdt0(W0_1095,xq) )
| ~ aElement0(W0_1095) ),
inference(resolution,[status(thm)],[c_420,c_108372]) ).
tff(c_137473,plain,
sdtasdt0(xq,'#skF_41') = sdtasdt0('#skF_41',xq),
inference(resolution,[status(thm)],[c_107808,c_137304]) ).
tff(c_108955,plain,
sdtpldt0(sdtasdt0(xq,xu),'#skF_40') = xb,
inference(demodulation,[status(thm),theory(equality)],[c_108860,c_424]) ).
tff(c_177362,plain,
sdtpldt0(sdtasdt0(xq,'#skF_41'),'#skF_44') = xb,
inference(demodulation,[status(thm),theory(equality)],[c_111565,c_126601,c_108955]) ).
tff(c_183893,plain,
sdtpldt0(sdtasdt0('#skF_41',xq),'#skF_44') = xb,
inference(demodulation,[status(thm),theory(equality)],[c_137473,c_177362]) ).
tff(c_111837,plain,
sz00 = '#skF_44',
inference(demodulation,[status(thm),theory(equality)],[c_111565,c_108860]) ).
tff(c_106576,plain,
! [W0_704,W1_705] :
( aElement0(sdtasdt0(W0_704,W1_705))
| ~ aElement0(W1_705)
| ~ aElement0(W0_704) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_106766,plain,
! [W0_704,W1_705] :
( ( sdtpldt0(sdtasdt0(W0_704,W1_705),sz00) = sdtasdt0(W0_704,W1_705) )
| ~ aElement0(W1_705)
| ~ aElement0(W0_704) ),
inference(resolution,[status(thm)],[c_106576,c_20]) ).
tff(c_187546,plain,
! [W0_704,W1_705] :
( ( sdtpldt0(sdtasdt0(W0_704,W1_705),'#skF_44') = sdtasdt0(W0_704,W1_705) )
| ~ aElement0(W1_705)
| ~ aElement0(W0_704) ),
inference(demodulation,[status(thm),theory(equality)],[c_111837,c_106766]) ).
tff(c_188894,plain,
( ( sdtasdt0('#skF_41',xq) = xb )
| ~ aElement0(xq)
| ~ aElement0('#skF_41') ),
inference(superposition,[status(thm),theory(equality)],[c_183893,c_187546]) ).
tff(c_188937,plain,
sdtasdt0('#skF_41',xq) = xb,
inference(demodulation,[status(thm),theory(equality)],[c_107808,c_420,c_188894]) ).
tff(c_188939,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_126633,c_188937]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG119+4 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % 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
% 0.14/0.35 % Computer : n025.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 18:09:19 EDT 2023
% 0.14/0.35 % CPUTime :
% 84.98/67.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 85.00/67.68
% 85.00/67.68 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 85.18/67.72
% 85.18/67.72 Inference rules
% 85.18/67.72 ----------------------
% 85.18/67.72 #Ref : 0
% 85.18/67.72 #Sup : 44782
% 85.18/67.72 #Fact : 0
% 85.18/67.72 #Define : 0
% 85.18/67.72 #Split : 24
% 85.18/67.72 #Chain : 0
% 85.18/67.72 #Close : 0
% 85.18/67.72
% 85.18/67.72 Ordering : KBO
% 85.18/67.72
% 85.18/67.72 Simplification rules
% 85.18/67.72 ----------------------
% 85.18/67.72 #Subsume : 4207
% 85.18/67.72 #Demod : 50639
% 85.18/67.72 #Tautology : 10147
% 85.18/67.72 #SimpNegUnit : 150
% 85.18/67.72 #BackRed : 597
% 85.18/67.72
% 85.18/67.72 #Partial instantiations: 0
% 85.18/67.72 #Strategies tried : 1
% 85.18/67.72
% 85.18/67.72 Timing (in seconds)
% 85.18/67.72 ----------------------
% 85.18/67.73 Preprocessing : 0.81
% 85.18/67.73 Parsing : 0.39
% 85.18/67.73 CNF conversion : 0.08
% 85.18/67.73 Main loop : 65.78
% 85.18/67.73 Inferencing : 6.54
% 85.18/67.73 Reduction : 41.68
% 85.18/67.73 Demodulation : 37.04
% 85.18/67.73 BG Simplification : 0.32
% 85.18/67.73 Subsumption : 13.97
% 85.18/67.73 Abstraction : 0.48
% 85.18/67.73 MUC search : 0.00
% 85.18/67.73 Cooper : 0.00
% 85.18/67.73 Total : 66.67
% 85.18/67.73 Index Insertion : 0.00
% 85.18/67.73 Index Deletion : 0.00
% 85.18/67.73 Index Matching : 0.00
% 85.18/67.73 BG Taut test : 0.00
%------------------------------------------------------------------------------