TSTP Solution File: NUM595+3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM595+3 : 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 : 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 10:52:15 EDT 2023
% Result : Theorem 102.67s 78.79s
% Output : CNFRefutation 102.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 104
% Syntax : Number of formulae : 170 ( 36 unt; 92 typ; 2 def)
% Number of atoms : 189 ( 51 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 178 ( 67 ~; 63 |; 27 &)
% ( 4 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 153 ( 75 >; 78 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 83 ( 83 usr; 17 con; 0-4 aty)
% Number of variables : 45 (; 42 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > iLess0 > aSubsetOf0 > aElementOf0 > isFinite0 > isCountable0 > aSet0 > aFunction0 > aElement0 > slbdtsldtrb0 > sdtpldt0 > sdtmndt0 > sdtlpdtrp0 > sdtlcdtrc0 > sdtlbdtrb0 > sdtexdt0 > #nlpp > szszuzczcdt0 > szmzizndt0 > szmzazxdt0 > szDzozmdt0 > szDzizrdt0 > slbdtrb0 > sbrdtbr0 > xx > xk > xi > xe > xd > xc > xX > xT > xS > xN > xK > xC > szNzAzT0 > sz00 > slcrc0 > #skF_47 > #skF_7 > #skF_11 > #skF_52 > #skF_41 > #skF_17 > #skF_31 > #skF_33 > #skF_44 > #skF_6 > #skF_1 > #skF_18 > #skF_37 > #skF_38 > #skF_4 > #skF_29 > #skF_12 > #skF_53 > #skF_30 > #skF_32 > #skF_23 > #skF_35 > #skF_5 > #skF_49 > #skF_19 > #skF_10 > #skF_42 > #skF_8 > #skF_20 > #skF_28 > #skF_26 > #skF_24 > #skF_34 > #skF_15 > #skF_13 > #skF_14 > #skF_50 > #skF_54 > #skF_25 > #skF_3 > #skF_2 > #skF_48 > #skF_40 > #skF_27 > #skF_36 > #skF_43 > #skF_46 > #skF_21 > #skF_45 > #skF_9 > #skF_22 > #skF_16 > #skF_51 > #skF_39
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(xk,type,
xk: $i ).
tff('#skF_47',type,
'#skF_47': ( $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff('#skF_52',type,
'#skF_52': $i ).
tff('#skF_41',type,
'#skF_41': ( $i * $i ) > $i ).
tff(sbrdtbr0,type,
sbrdtbr0: $i > $i ).
tff('#skF_17',type,
'#skF_17': ( $i * $i * $i ) > $i ).
tff('#skF_31',type,
'#skF_31': ( $i * $i * $i ) > $i ).
tff('#skF_33',type,
'#skF_33': ( $i * $i * $i ) > $i ).
tff(aSet0,type,
aSet0: $i > $o ).
tff(szszuzczcdt0,type,
szszuzczcdt0: $i > $i ).
tff('#skF_44',type,
'#skF_44': ( $i * $i * $i ) > $i ).
tff(sdtlbdtrb0,type,
sdtlbdtrb0: ( $i * $i ) > $i ).
tff(szDzozmdt0,type,
szDzozmdt0: $i > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff(xd,type,
xd: $i ).
tff(sdtmndt0,type,
sdtmndt0: ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i * $i ) > $i ).
tff(aElement0,type,
aElement0: $i > $o ).
tff(sdtexdt0,type,
sdtexdt0: ( $i * $i ) > $i ).
tff(xX,type,
xX: $i ).
tff('#skF_37',type,
'#skF_37': $i > $i ).
tff(xi,type,
xi: $i ).
tff(szNzAzT0,type,
szNzAzT0: $i ).
tff(sdtlseqdt0,type,
sdtlseqdt0: ( $i * $i ) > $o ).
tff(xS,type,
xS: $i ).
tff(sz00,type,
sz00: $i ).
tff(sdtlpdtrp0,type,
sdtlpdtrp0: ( $i * $i ) > $i ).
tff('#skF_38',type,
'#skF_38': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff(xc,type,
xc: $i ).
tff(xe,type,
xe: $i ).
tff('#skF_29',type,
'#skF_29': ( $i * $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i ) > $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff('#skF_53',type,
'#skF_53': $i ).
tff('#skF_30',type,
'#skF_30': ( $i * $i * $i ) > $i ).
tff(slbdtsldtrb0,type,
slbdtsldtrb0: ( $i * $i ) > $i ).
tff('#skF_32',type,
'#skF_32': ( $i * $i * $i * $i ) > $i ).
tff(xx,type,
xx: $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i * $i ) > $i ).
tff('#skF_35',type,
'#skF_35': ( $i * $i * $i ) > $i ).
tff(aSubsetOf0,type,
aSubsetOf0: ( $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i ) > $i ).
tff('#skF_49',type,
'#skF_49': ( $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i * $i ) > $i ).
tff(isCountable0,type,
isCountable0: $i > $o ).
tff('#skF_10',type,
'#skF_10': ( $i * $i ) > $i ).
tff('#skF_42',type,
'#skF_42': ( $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff(xT,type,
xT: $i ).
tff(xN,type,
xN: $i ).
tff(aElementOf0,type,
aElementOf0: ( $i * $i ) > $o ).
tff(xC,type,
xC: $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i * $i ) > $i ).
tff(szDzizrdt0,type,
szDzizrdt0: $i > $i ).
tff('#skF_28',type,
'#skF_28': ( $i * $i ) > $i ).
tff('#skF_26',type,
'#skF_26': $i > $i ).
tff('#skF_24',type,
'#skF_24': ( $i * $i ) > $i ).
tff('#skF_34',type,
'#skF_34': ( $i * $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i * $i ) > $i ).
tff(slcrc0,type,
slcrc0: $i ).
tff('#skF_50',type,
'#skF_50': ( $i * $i ) > $i ).
tff(aFunction0,type,
aFunction0: $i > $o ).
tff(isFinite0,type,
isFinite0: $i > $o ).
tff('#skF_54',type,
'#skF_54': $i > $i ).
tff('#skF_25',type,
'#skF_25': ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i ) > $i ).
tff(sdtlcdtrc0,type,
sdtlcdtrc0: ( $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff('#skF_48',type,
'#skF_48': $i > $i ).
tff('#skF_40',type,
'#skF_40': ( $i * $i ) > $i ).
tff(iLess0,type,
iLess0: ( $i * $i ) > $o ).
tff('#skF_27',type,
'#skF_27': $i > $i ).
tff(szmzizndt0,type,
szmzizndt0: $i > $i ).
tff('#skF_36',type,
'#skF_36': ( $i * $i * $i * $i ) > $i ).
tff('#skF_43',type,
'#skF_43': ( $i * $i ) > $i ).
tff('#skF_46',type,
'#skF_46': $i > $i ).
tff(szmzazxdt0,type,
szmzazxdt0: $i > $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i * $i ) > $i ).
tff(xK,type,
xK: $i ).
tff('#skF_45',type,
'#skF_45': $i > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff(slbdtrb0,type,
slbdtrb0: $i > $i ).
tff('#skF_22',type,
'#skF_22': ( $i * $i * $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i ) > $i ).
tff('#skF_51',type,
'#skF_51': $i > $i ).
tff('#skF_39',type,
'#skF_39': ( $i * $i ) > $i ).
tff(f_52,definition,
! [W0] :
( ( W0 = slcrc0 )
<=> ( aSet0(W0)
& ~ ? [W1] : aElementOf0(W1,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
tff(f_1353,negated_conjecture,
~ aElementOf0(xx,xT),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(f_1316,hypothesis,
( aElementOf0(xi,szNzAzT0)
& ( sdtlpdtrp0(xd,xi) = xx ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4806) ).
tff(f_330,axiom,
! [W0] :
( aSet0(W0)
=> ( ( sbrdtbr0(W0) = sz00 )
<=> ( W0 = slcrc0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardEmpty) ).
tff(f_1351,hypothesis,
( aSet0(xX)
& ! [W0] :
( ( aElementOf0(W0,xX)
=> ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
& aSubsetOf0(W0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& ( sbrdtbr0(W0) = xk ) ) )
& ( ( ( ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(xi))) ) )
| aSubsetOf0(W0,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
& ( sbrdtbr0(W0) = xk ) )
=> aElementOf0(W0,xX) ) )
& ( xX = slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk) )
& ~ ~ ? [W0] : aElementOf0(W0,xX) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4826) ).
tff(f_219,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)
& ( szszuzczcdt0(W0) != sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).
tff(f_886,hypothesis,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( aSet0(sdtlpdtrp0(xN,W0))
& ! [W1] :
( aElementOf0(W1,sdtlpdtrp0(xN,W0))
=> aElementOf0(W1,szNzAzT0) )
& aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,W0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).
tff(f_824,hypothesis,
( aElementOf0(xk,szNzAzT0)
& ( szszuzczcdt0(xk) = xK ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3533) ).
tff(f_496,axiom,
! [W0] :
( ( aSet0(W0)
& isFinite0(W0) )
=> ! [W1] :
( aElementOf0(W1,szNzAzT0)
=> isFinite0(slbdtsldtrb0(W0,W1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSelFSet) ).
tff(f_487,definition,
! [W0,W1] :
( ( aSet0(W0)
& aElementOf0(W1,szNzAzT0) )
=> ! [W2] :
( ( W2 = slbdtsldtrb0(W0,W1) )
<=> ( aSet0(W2)
& ! [W3] :
( aElementOf0(W3,W2)
<=> ( aSubsetOf0(W3,W0)
& ( sbrdtbr0(W3) = W1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).
tff(f_1298,hypothesis,
( aFunction0(xd)
& ( szDzozmdt0(xd) = szNzAzT0 )
& ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ! [W1] :
( ( aSet0(W1)
& ( ( ( ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,sdtlpdtrp0(xN,szszuzczcdt0(W0))) )
| aSubsetOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0))) )
& ( sbrdtbr0(W1) = xk ) )
| aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk)) ) )
=> ( sdtlpdtrp0(xd,W0) = sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4730) ).
tff(f_1261,hypothesis,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ? [W1] :
( aElementOf0(W1,xT)
& ! [W2] :
( ( aSet0(W2)
& ( ( ( ! [W3] :
( aElementOf0(W3,W2)
=> aElementOf0(W3,sdtlpdtrp0(xN,szszuzczcdt0(W0))) )
| aSubsetOf0(W2,sdtlpdtrp0(xN,szszuzczcdt0(W0))) )
& ( sbrdtbr0(W2) = xk ) )
| aElementOf0(W2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk)) ) )
=> ( sdtlpdtrp0(sdtlpdtrp0(xC,W0),W2) = W1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4618) ).
tff(c_12,plain,
! [W1_10] : ~ aElementOf0(W1_10,slcrc0),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_9762,plain,
~ aElementOf0(xx,xT),
inference(cnfTransformation,[status(thm)],[f_1353]) ).
tff(c_9740,plain,
aElementOf0(xi,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_1316]) ).
tff(c_14,plain,
aSet0(slcrc0),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_154,plain,
( ( sbrdtbr0(slcrc0) = sz00 )
| ~ aSet0(slcrc0) ),
inference(cnfTransformation,[status(thm)],[f_330]) ).
tff(c_9774,plain,
sbrdtbr0(slcrc0) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_154]) ).
tff(c_9746,plain,
aSet0(xX),
inference(cnfTransformation,[status(thm)],[f_1351]) ).
tff(c_10156,plain,
! [W0_833] :
( ( slcrc0 = W0_833 )
| aElementOf0('#skF_1'(W0_833),W0_833)
| ~ aSet0(W0_833) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_9754,plain,
! [W0_793] :
( aSet0(W0_793)
| ~ aElementOf0(W0_793,xX) ),
inference(cnfTransformation,[status(thm)],[f_1351]) ).
tff(c_10191,plain,
( aSet0('#skF_1'(xX))
| ( xX = slcrc0 )
| ~ aSet0(xX) ),
inference(resolution,[status(thm)],[c_10156,c_9754]) ).
tff(c_10214,plain,
( aSet0('#skF_1'(xX))
| ( xX = slcrc0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9746,c_10191]) ).
tff(c_10219,plain,
xX = slcrc0,
inference(splitLeft,[status(thm)],[c_10214]) ).
tff(c_9983,plain,
! [W0_818] :
( ( slcrc0 = W0_818 )
| ( sbrdtbr0(W0_818) != sz00 )
| ~ aSet0(W0_818) ),
inference(cnfTransformation,[status(thm)],[f_330]) ).
tff(c_10031,plain,
( ( xX = slcrc0 )
| ( sbrdtbr0(xX) != sz00 ) ),
inference(resolution,[status(thm)],[c_9746,c_9983]) ).
tff(c_10050,plain,
sbrdtbr0(xX) != sz00,
inference(splitLeft,[status(thm)],[c_10031]) ).
tff(c_10221,plain,
sbrdtbr0(slcrc0) != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_10219,c_10050]) ).
tff(c_10228,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9774,c_10221]) ).
tff(c_10229,plain,
aSet0('#skF_1'(xX)),
inference(splitRight,[status(thm)],[c_10214]) ).
tff(c_10230,plain,
xX != slcrc0,
inference(splitRight,[status(thm)],[c_10214]) ).
tff(c_10,plain,
! [W0_7] :
( ( slcrc0 = W0_7 )
| aElementOf0('#skF_1'(W0_7),W0_7)
| ~ aSet0(W0_7) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_9750,plain,
! [W0_793] :
( aSubsetOf0(W0_793,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aElementOf0(W0_793,xX) ),
inference(cnfTransformation,[status(thm)],[f_1351]) ).
tff(c_114,plain,
! [W0_72] :
( aElementOf0(szszuzczcdt0(W0_72),szNzAzT0)
| ~ aElementOf0(W0_72,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_219]) ).
tff(c_8400,plain,
! [W0_581] :
( aSet0(sdtlpdtrp0(xN,W0_581))
| ~ aElementOf0(W0_581,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_886]) ).
tff(c_8320,plain,
aElementOf0(xk,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_824]) ).
tff(c_9744,plain,
slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk) = xX,
inference(cnfTransformation,[status(thm)],[f_1351]) ).
tff(c_11949,plain,
! [W0_946,W1_947] :
( isFinite0(slbdtsldtrb0(W0_946,W1_947))
| ~ aElementOf0(W1_947,szNzAzT0)
| ~ isFinite0(W0_946)
| ~ aSet0(W0_946) ),
inference(cnfTransformation,[status(thm)],[f_496]) ).
tff(c_11955,plain,
( isFinite0(xX)
| ~ aElementOf0(xk,szNzAzT0)
| ~ isFinite0(sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xi))) ),
inference(superposition,[status(thm),theory(equality)],[c_9744,c_11949]) ).
tff(c_11961,plain,
( isFinite0(xX)
| ~ isFinite0(sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xi))) ),
inference(demodulation,[status(thm),theory(equality)],[c_8320,c_11955]) ).
tff(c_49850,plain,
~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xi))),
inference(splitLeft,[status(thm)],[c_11961]) ).
tff(c_49866,plain,
~ aElementOf0(szszuzczcdt0(xi),szNzAzT0),
inference(resolution,[status(thm)],[c_8400,c_49850]) ).
tff(c_49943,plain,
~ aElementOf0(xi,szNzAzT0),
inference(resolution,[status(thm)],[c_114,c_49866]) ).
tff(c_49947,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9740,c_49943]) ).
tff(c_49949,plain,
aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xi))),
inference(splitRight,[status(thm)],[c_11961]) ).
tff(c_9748,plain,
! [W0_793] :
( ( sbrdtbr0(W0_793) = xk )
| ~ aElementOf0(W0_793,xX) ),
inference(cnfTransformation,[status(thm)],[f_1351]) ).
tff(c_10187,plain,
( ( sbrdtbr0('#skF_1'(xX)) = xk )
| ( xX = slcrc0 )
| ~ aSet0(xX) ),
inference(resolution,[status(thm)],[c_10156,c_9748]) ).
tff(c_10211,plain,
( ( sbrdtbr0('#skF_1'(xX)) = xk )
| ( xX = slcrc0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9746,c_10187]) ).
tff(c_10269,plain,
sbrdtbr0('#skF_1'(xX)) = xk,
inference(negUnitSimplification,[status(thm)],[c_10230,c_10211]) ).
tff(c_16825,plain,
! [W3_1113,W0_1114] :
( aElementOf0(W3_1113,slbdtsldtrb0(W0_1114,sbrdtbr0(W3_1113)))
| ~ aSubsetOf0(W3_1113,W0_1114)
| ~ aElementOf0(sbrdtbr0(W3_1113),szNzAzT0)
| ~ aSet0(W0_1114) ),
inference(cnfTransformation,[status(thm)],[f_487]) ).
tff(c_16849,plain,
! [W0_1114] :
( aElementOf0('#skF_1'(xX),slbdtsldtrb0(W0_1114,xk))
| ~ aSubsetOf0('#skF_1'(xX),W0_1114)
| ~ aElementOf0(sbrdtbr0('#skF_1'(xX)),szNzAzT0)
| ~ aSet0(W0_1114) ),
inference(superposition,[status(thm),theory(equality)],[c_10269,c_16825]) ).
tff(c_71753,plain,
! [W0_1901] :
( aElementOf0('#skF_1'(xX),slbdtsldtrb0(W0_1901,xk))
| ~ aSubsetOf0('#skF_1'(xX),W0_1901)
| ~ aSet0(W0_1901) ),
inference(demodulation,[status(thm),theory(equality)],[c_8320,c_10269,c_16849]) ).
tff(c_71829,plain,
( aElementOf0('#skF_1'(xX),xX)
| ~ aSubsetOf0('#skF_1'(xX),sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xi))) ),
inference(superposition,[status(thm),theory(equality)],[c_9744,c_71753]) ).
tff(c_71889,plain,
( aElementOf0('#skF_1'(xX),xX)
| ~ aSubsetOf0('#skF_1'(xX),sdtlpdtrp0(xN,szszuzczcdt0(xi))) ),
inference(demodulation,[status(thm),theory(equality)],[c_49949,c_71829]) ).
tff(c_71890,plain,
~ aSubsetOf0('#skF_1'(xX),sdtlpdtrp0(xN,szszuzczcdt0(xi))),
inference(splitLeft,[status(thm)],[c_71889]) ).
tff(c_71894,plain,
~ aElementOf0('#skF_1'(xX),xX),
inference(resolution,[status(thm)],[c_9750,c_71890]) ).
tff(c_72100,plain,
( ( xX = slcrc0 )
| ~ aSet0(xX) ),
inference(resolution,[status(thm)],[c_10,c_71894]) ).
tff(c_72103,plain,
xX = slcrc0,
inference(demodulation,[status(thm),theory(equality)],[c_9746,c_72100]) ).
tff(c_72105,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10230,c_72103]) ).
tff(c_72106,plain,
aElementOf0('#skF_1'(xX),xX),
inference(splitRight,[status(thm)],[c_71889]) ).
tff(c_9738,plain,
sdtlpdtrp0(xd,xi) = xx,
inference(cnfTransformation,[status(thm)],[f_1316]) ).
tff(c_72107,plain,
aSubsetOf0('#skF_1'(xX),sdtlpdtrp0(xN,szszuzczcdt0(xi))),
inference(splitRight,[status(thm)],[c_71889]) ).
tff(c_9718,plain,
! [W1_787,W0_783] :
( ~ aSubsetOf0(W1_787,sdtlpdtrp0(xN,szszuzczcdt0(W0_783)))
| ( sbrdtbr0(W1_787) != xk )
| ( sdtlpdtrp0(sdtlpdtrp0(xC,W0_783),W1_787) = sdtlpdtrp0(xd,W0_783) )
| ~ aSet0(W1_787)
| ~ aElementOf0(W0_783,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_1298]) ).
tff(c_72144,plain,
( ( sbrdtbr0('#skF_1'(xX)) != xk )
| ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),'#skF_1'(xX)) = sdtlpdtrp0(xd,xi) )
| ~ aSet0('#skF_1'(xX))
| ~ aElementOf0(xi,szNzAzT0) ),
inference(resolution,[status(thm)],[c_72107,c_9718]) ).
tff(c_72172,plain,
sdtlpdtrp0(sdtlpdtrp0(xC,xi),'#skF_1'(xX)) = xx,
inference(demodulation,[status(thm),theory(equality)],[c_9740,c_10229,c_9738,c_10269,c_72144]) ).
tff(c_23322,plain,
! [W2_1257,W0_1258] :
( ~ aElementOf0(W2_1257,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0_1258)),xk))
| ( sdtlpdtrp0(sdtlpdtrp0(xC,W0_1258),W2_1257) = '#skF_48'(W0_1258) )
| ~ aSet0(W2_1257)
| ~ aElementOf0(W0_1258,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_1261]) ).
tff(c_23390,plain,
! [W2_1257] :
( ~ aElementOf0(W2_1257,xX)
| ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),W2_1257) = '#skF_48'(xi) )
| ~ aSet0(W2_1257)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_9744,c_23322]) ).
tff(c_23409,plain,
! [W2_1257] :
( ~ aElementOf0(W2_1257,xX)
| ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),W2_1257) = '#skF_48'(xi) )
| ~ aSet0(W2_1257) ),
inference(demodulation,[status(thm),theory(equality)],[c_9740,c_23390]) ).
tff(c_72196,plain,
( ~ aElementOf0('#skF_1'(xX),xX)
| ( '#skF_48'(xi) = xx )
| ~ aSet0('#skF_1'(xX)) ),
inference(superposition,[status(thm),theory(equality)],[c_72172,c_23409]) ).
tff(c_72223,plain,
'#skF_48'(xi) = xx,
inference(demodulation,[status(thm),theory(equality)],[c_10229,c_72106,c_72196]) ).
tff(c_9692,plain,
! [W0_767] :
( aElementOf0('#skF_48'(W0_767),xT)
| ~ aElementOf0(W0_767,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_1261]) ).
tff(c_72450,plain,
( aElementOf0(xx,xT)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_72223,c_9692]) ).
tff(c_72458,plain,
aElementOf0(xx,xT),
inference(demodulation,[status(thm),theory(equality)],[c_9740,c_72450]) ).
tff(c_72460,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9762,c_72458]) ).
tff(c_72461,plain,
xX = slcrc0,
inference(splitRight,[status(thm)],[c_10031]) ).
tff(c_9742,plain,
aElementOf0('#skF_53',xX),
inference(cnfTransformation,[status(thm)],[f_1351]) ).
tff(c_72465,plain,
aElementOf0('#skF_53',slcrc0),
inference(demodulation,[status(thm),theory(equality)],[c_72461,c_9742]) ).
tff(c_72468,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12,c_72465]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM595+3 : 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 : 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 15:09:06 EDT 2023
% 0.14/0.35 % CPUTime :
% 102.67/78.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 102.71/78.81
% 102.71/78.81 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 102.80/78.84
% 102.80/78.84 Inference rules
% 102.80/78.84 ----------------------
% 102.80/78.84 #Ref : 3
% 102.80/78.84 #Sup : 12408
% 102.80/78.84 #Fact : 2
% 102.80/78.84 #Define : 0
% 102.80/78.84 #Split : 162
% 102.80/78.84 #Chain : 0
% 102.80/78.84 #Close : 0
% 102.80/78.84
% 102.80/78.84 Ordering : KBO
% 102.80/78.84
% 102.80/78.84 Simplification rules
% 102.80/78.84 ----------------------
% 102.80/78.84 #Subsume : 2876
% 102.80/78.84 #Demod : 10267
% 102.80/78.84 #Tautology : 1304
% 102.80/78.84 #SimpNegUnit : 463
% 102.80/78.84 #BackRed : 186
% 102.80/78.84
% 102.80/78.84 #Partial instantiations: 0
% 102.80/78.84 #Strategies tried : 1
% 102.80/78.84
% 102.80/78.84 Timing (in seconds)
% 102.80/78.84 ----------------------
% 102.80/78.85 Preprocessing : 2.32
% 102.80/78.85 Parsing : 0.54
% 102.80/78.85 CNF conversion : 0.18
% 102.80/78.85 Main loop : 75.43
% 102.80/78.85 Inferencing : 2.92
% 102.80/78.85 Reduction : 53.05
% 102.80/78.85 Demodulation : 45.53
% 102.80/78.85 BG Simplification : 0.91
% 102.80/78.85 Subsumption : 15.45
% 102.80/78.85 Abstraction : 0.67
% 102.80/78.85 MUC search : 0.00
% 102.80/78.85 Cooper : 0.00
% 102.80/78.85 Total : 77.82
% 102.80/78.85 Index Insertion : 0.00
% 102.80/78.85 Index Deletion : 0.00
% 102.80/78.85 Index Matching : 0.00
% 102.80/78.85 BG Taut test : 0.00
%------------------------------------------------------------------------------