TSTP Solution File: SWC389+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC389+1 : TPTP v8.1.2. Released v2.4.0.
% 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 11:02:26 EDT 2023
% Result : Theorem 78.71s 61.52s
% Output : CNFRefutation 78.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 88
% Syntax : Number of formulae : 176 ( 44 unt; 78 typ; 0 def)
% Number of atoms : 211 ( 70 equ)
% Maximal formula atoms : 22 ( 2 avg)
% Number of connectives : 197 ( 84 ~; 79 |; 9 &)
% ( 3 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 85 ( 68 >; 17 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-2 aty)
% Number of functors : 59 ( 59 usr; 10 con; 0-2 aty)
% Number of variables : 51 (; 47 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ segmentP > rearsegP > neq > memberP > lt > leq > gt > geq > frontsegP > totalorderedP > totalorderP > strictorderedP > strictorderP > ssList > ssItem > singletonP > equalelemsP > duplicatefreeP > cyclefreeP > cons > app > #nlpp > tl > hd > nil > #skF_36 > #skF_25 > #skF_5 > #skF_52 > #skF_44 > #skF_21 > #skF_16 > #skF_6 > #skF_49 > #skF_18 > #skF_24 > #skF_35 > #skF_19 > #skF_31 > #skF_22 > #skF_37 > #skF_54 > #skF_40 > #skF_48 > #skF_3 > #skF_34 > #skF_29 > #skF_15 > #skF_32 > #skF_53 > #skF_51 > #skF_28 > #skF_10 > #skF_41 > #skF_2 > #skF_38 > #skF_43 > #skF_1 > #skF_8 > #skF_39 > #skF_23 > #skF_33 > #skF_26 > #skF_50 > #skF_13 > #skF_17 > #skF_11 > #skF_14 > #skF_27 > #skF_12 > #skF_7 > #skF_46 > #skF_42 > #skF_45 > #skF_9 > #skF_30 > #skF_4 > #skF_20 > #skF_47
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_36',type,
'#skF_36': $i > $i ).
tff(segmentP,type,
segmentP: ( $i * $i ) > $o ).
tff('#skF_25',type,
'#skF_25': $i > $i ).
tff(totalorderedP,type,
totalorderedP: $i > $o ).
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff(equalelemsP,type,
equalelemsP: $i > $o ).
tff('#skF_52',type,
'#skF_52': $i ).
tff('#skF_44',type,
'#skF_44': $i > $i ).
tff('#skF_21',type,
'#skF_21': $i > $i ).
tff('#skF_16',type,
'#skF_16': $i > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff('#skF_49',type,
'#skF_49': $i ).
tff('#skF_18',type,
'#skF_18': $i > $i ).
tff('#skF_24',type,
'#skF_24': $i > $i ).
tff('#skF_35',type,
'#skF_35': $i > $i ).
tff(singletonP,type,
singletonP: $i > $o ).
tff('#skF_19',type,
'#skF_19': $i > $i ).
tff('#skF_31',type,
'#skF_31': $i > $i ).
tff('#skF_22',type,
'#skF_22': $i > $i ).
tff(frontsegP,type,
frontsegP: ( $i * $i ) > $o ).
tff('#skF_37',type,
'#skF_37': $i > $i ).
tff(totalorderP,type,
totalorderP: $i > $o ).
tff(ssItem,type,
ssItem: $i > $o ).
tff('#skF_54',type,
'#skF_54': $i ).
tff('#skF_40',type,
'#skF_40': $i > $i ).
tff('#skF_48',type,
'#skF_48': $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff('#skF_34',type,
'#skF_34': $i > $i ).
tff('#skF_29',type,
'#skF_29': $i > $i ).
tff('#skF_15',type,
'#skF_15': $i > $i ).
tff('#skF_32',type,
'#skF_32': $i > $i ).
tff('#skF_53',type,
'#skF_53': $i ).
tff('#skF_51',type,
'#skF_51': $i ).
tff('#skF_28',type,
'#skF_28': $i > $i ).
tff('#skF_10',type,
'#skF_10': $i > $i ).
tff('#skF_41',type,
'#skF_41': $i > $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_38',type,
'#skF_38': $i > $i ).
tff('#skF_43',type,
'#skF_43': $i > $i ).
tff(hd,type,
hd: $i > $i ).
tff(app,type,
app: ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff(duplicatefreeP,type,
duplicatefreeP: $i > $o ).
tff(gt,type,
gt: ( $i * $i ) > $o ).
tff('#skF_39',type,
'#skF_39': $i > $i ).
tff('#skF_23',type,
'#skF_23': $i > $i ).
tff(rearsegP,type,
rearsegP: ( $i * $i ) > $o ).
tff('#skF_33',type,
'#skF_33': $i > $i ).
tff(memberP,type,
memberP: ( $i * $i ) > $o ).
tff('#skF_26',type,
'#skF_26': $i > $i ).
tff('#skF_50',type,
'#skF_50': $i ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
tff(ssList,type,
ssList: $i > $o ).
tff(cons,type,
cons: ( $i * $i ) > $i ).
tff(strictorderP,type,
strictorderP: $i > $o ).
tff('#skF_17',type,
'#skF_17': $i > $i ).
tff(geq,type,
geq: ( $i * $i ) > $o ).
tff('#skF_11',type,
'#skF_11': $i > $i ).
tff(leq,type,
leq: ( $i * $i ) > $o ).
tff('#skF_14',type,
'#skF_14': $i > $i ).
tff(lt,type,
lt: ( $i * $i ) > $o ).
tff(tl,type,
tl: $i > $i ).
tff(neq,type,
neq: ( $i * $i ) > $o ).
tff('#skF_27',type,
'#skF_27': $i > $i ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i ) > $i ).
tff('#skF_46',type,
'#skF_46': $i > $i ).
tff(nil,type,
nil: $i ).
tff('#skF_42',type,
'#skF_42': $i > $i ).
tff('#skF_45',type,
'#skF_45': $i > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff(strictorderedP,type,
strictorderedP: $i > $o ).
tff('#skF_30',type,
'#skF_30': $i > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': $i > $i ).
tff(cyclefreeP,type,
cyclefreeP: $i > $o ).
tff('#skF_47',type,
'#skF_47': $i > $i ).
tff(f_1038,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ~ ssList(X)
| ( V != X )
| ( U != W )
| ( ! [Y] :
( ssItem(Y)
=> ! [Z] :
( ssList(Z)
=> ! [X1] :
( ~ ssList(X1)
| ( cons(Y,nil) != W )
| ( app(app(Z,W),X1) != X )
| ? [X2] :
( ssItem(X2)
& memberP(Z,X2)
& lt(Y,X2) )
| ? [X3] :
( ssItem(X3)
& memberP(X1,X3)
& lt(X3,Y) ) ) ) )
& ( ( nil != X )
| ( nil != W ) ) )
| ( segmentP(V,U)
& ( ~ neq(V,nil)
| singletonP(U) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f_667,axiom,
! [U] :
( ssList(U)
=> segmentP(U,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax55) ).
tff(f_686,axiom,
! [U] :
( ssList(U)
=> segmentP(U,nil) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax57) ).
tff(f_311,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( neq(U,V)
<=> ( U != V ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).
tff(f_413,axiom,
! [U] :
( ssList(U)
=> ( app(nil,U) = U ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).
tff(f_769,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ? [V] :
( ssItem(V)
& ( hd(U) = V ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax75) ).
tff(f_855,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( ( nil = app(U,V) )
<=> ( ( nil = V )
& ( nil = U ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax83) ).
tff(f_399,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ssList(app(U,V)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax26) ).
tff(f_682,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( segmentP(U,V)
=> segmentP(app(app(W,U),X),V) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax56) ).
tff(f_96,axiom,
! [U] :
( ssList(U)
=> ( singletonP(U)
<=> ? [V] :
( ssItem(V)
& ( cons(V,nil) = U ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax4) ).
tff(c_390,plain,
ssList('#skF_50'),
inference(cnfTransformation,[status(thm)],[f_1038]) ).
tff(c_270,plain,
! [U_1014] :
( segmentP(U_1014,U_1014)
| ~ ssList(U_1014) ),
inference(cnfTransformation,[status(thm)],[f_667]) ).
tff(c_422,plain,
( ssList('#skF_54')
| ( nil = '#skF_51' ) ),
inference(cnfTransformation,[status(thm)],[f_1038]) ).
tff(c_443,plain,
nil = '#skF_51',
inference(splitLeft,[status(thm)],[c_422]) ).
tff(c_408,plain,
( ssList('#skF_54')
| ( nil = '#skF_50' ) ),
inference(cnfTransformation,[status(thm)],[f_1038]) ).
tff(c_459,plain,
( ssList('#skF_54')
| ( '#skF_51' = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_443,c_408]) ).
tff(c_460,plain,
'#skF_51' = '#skF_50',
inference(splitLeft,[status(thm)],[c_459]) ).
tff(c_424,plain,
( ssList('#skF_53')
| ( nil = '#skF_51' ) ),
inference(cnfTransformation,[status(thm)],[f_1038]) ).
tff(c_477,plain,
( ssList('#skF_53')
| ( nil = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_460,c_424]) ).
tff(c_478,plain,
nil = '#skF_50',
inference(splitLeft,[status(thm)],[c_477]) ).
tff(c_274,plain,
! [U_1030] :
( segmentP(U_1030,nil)
| ~ ssList(U_1030) ),
inference(cnfTransformation,[status(thm)],[f_686]) ).
tff(c_491,plain,
! [U_1030] :
( segmentP(U_1030,'#skF_50')
| ~ ssList(U_1030) ),
inference(demodulation,[status(thm),theory(equality)],[c_478,c_274]) ).
tff(c_384,plain,
'#skF_48' = '#skF_50',
inference(cnfTransformation,[status(thm)],[f_1038]) ).
tff(c_386,plain,
'#skF_49' = '#skF_51',
inference(cnfTransformation,[status(thm)],[f_1038]) ).
tff(c_398,plain,
( neq('#skF_49',nil)
| ~ segmentP('#skF_49','#skF_48') ),
inference(cnfTransformation,[status(thm)],[f_1038]) ).
tff(c_428,plain,
( neq('#skF_51',nil)
| ~ segmentP('#skF_51','#skF_48') ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_386,c_398]) ).
tff(c_433,plain,
( neq('#skF_51',nil)
| ~ segmentP('#skF_51','#skF_50') ),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_428]) ).
tff(c_519,plain,
( neq('#skF_50','#skF_50')
| ~ segmentP('#skF_50','#skF_50') ),
inference(demodulation,[status(thm),theory(equality)],[c_460,c_478,c_460,c_433]) ).
tff(c_520,plain,
~ segmentP('#skF_50','#skF_50'),
inference(splitLeft,[status(thm)],[c_519]) ).
tff(c_523,plain,
~ ssList('#skF_50'),
inference(resolution,[status(thm)],[c_491,c_520]) ).
tff(c_530,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_390,c_523]) ).
tff(c_531,plain,
neq('#skF_50','#skF_50'),
inference(splitRight,[status(thm)],[c_519]) ).
tff(c_164,plain,
! [V_858] :
( ~ neq(V_858,V_858)
| ~ ssList(V_858) ),
inference(cnfTransformation,[status(thm)],[f_311]) ).
tff(c_538,plain,
~ ssList('#skF_50'),
inference(resolution,[status(thm)],[c_531,c_164]) ).
tff(c_543,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_390,c_538]) ).
tff(c_545,plain,
nil != '#skF_50',
inference(splitRight,[status(thm)],[c_477]) ).
tff(c_469,plain,
nil = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_460,c_443]) ).
tff(c_550,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_545,c_469]) ).
tff(c_552,plain,
'#skF_51' != '#skF_50',
inference(splitRight,[status(thm)],[c_459]) ).
tff(c_551,plain,
ssList('#skF_54'),
inference(splitRight,[status(thm)],[c_459]) ).
tff(c_196,plain,
! [U_906] :
( ( app(nil,U_906) = U_906 )
| ~ ssList(U_906) ),
inference(cnfTransformation,[status(thm)],[f_413]) ).
tff(c_609,plain,
! [U_1526] :
( ( app('#skF_51',U_1526) = U_1526 )
| ~ ssList(U_1526) ),
inference(demodulation,[status(thm),theory(equality)],[c_443,c_196]) ).
tff(c_624,plain,
app('#skF_51','#skF_50') = '#skF_50',
inference(resolution,[status(thm)],[c_390,c_609]) ).
tff(c_410,plain,
( ssList('#skF_53')
| ( nil = '#skF_50' ) ),
inference(cnfTransformation,[status(thm)],[f_1038]) ).
tff(c_559,plain,
( ssList('#skF_53')
| ( '#skF_51' = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_443,c_410]) ).
tff(c_560,plain,
ssList('#skF_53'),
inference(negUnitSimplification,[status(thm)],[c_552,c_559]) ).
tff(c_330,plain,
! [U_1045] :
( ( hd(U_1045) = '#skF_46'(U_1045) )
| ( nil = U_1045 )
| ~ ssList(U_1045) ),
inference(cnfTransformation,[status(thm)],[f_769]) ).
tff(c_1050,plain,
! [U_1580] :
( ( hd(U_1580) = '#skF_46'(U_1580) )
| ( U_1580 = '#skF_51' )
| ~ ssList(U_1580) ),
inference(demodulation,[status(thm),theory(equality)],[c_443,c_330]) ).
tff(c_1159,plain,
( ( hd('#skF_53') = '#skF_46'('#skF_53') )
| ( '#skF_53' = '#skF_51' ) ),
inference(resolution,[status(thm)],[c_560,c_1050]) ).
tff(c_1176,plain,
'#skF_53' = '#skF_51',
inference(splitLeft,[status(thm)],[c_1159]) ).
tff(c_404,plain,
( ( app(app('#skF_53','#skF_50'),'#skF_54') = '#skF_51' )
| ( nil = '#skF_50' ) ),
inference(cnfTransformation,[status(thm)],[f_1038]) ).
tff(c_668,plain,
( ( app(app('#skF_53','#skF_50'),'#skF_54') = '#skF_51' )
| ( '#skF_51' = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_443,c_404]) ).
tff(c_669,plain,
app(app('#skF_53','#skF_50'),'#skF_54') = '#skF_51',
inference(negUnitSimplification,[status(thm)],[c_552,c_668]) ).
tff(c_1178,plain,
app(app('#skF_51','#skF_50'),'#skF_54') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_1176,c_669]) ).
tff(c_1182,plain,
app('#skF_50','#skF_54') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_624,c_1178]) ).
tff(c_352,plain,
! [U_1077,V_1079] :
( ( nil = U_1077 )
| ( app(U_1077,V_1079) != nil )
| ~ ssList(V_1079)
| ~ ssList(U_1077) ),
inference(cnfTransformation,[status(thm)],[f_855]) ).
tff(c_2605,plain,
! [U_1632,V_1633] :
( ( U_1632 = '#skF_51' )
| ( app(U_1632,V_1633) != '#skF_51' )
| ~ ssList(V_1633)
| ~ ssList(U_1632) ),
inference(demodulation,[status(thm),theory(equality)],[c_443,c_443,c_352]) ).
tff(c_2607,plain,
( ( '#skF_51' = '#skF_50' )
| ~ ssList('#skF_54')
| ~ ssList('#skF_50') ),
inference(superposition,[status(thm),theory(equality)],[c_1182,c_2605]) ).
tff(c_2620,plain,
'#skF_51' = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_390,c_551,c_2607]) ).
tff(c_2622,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_552,c_2620]) ).
tff(c_2624,plain,
'#skF_53' != '#skF_51',
inference(splitRight,[status(thm)],[c_1159]) ).
tff(c_192,plain,
! [U_896,V_898] :
( ssList(app(U_896,V_898))
| ~ ssList(V_898)
| ~ ssList(U_896) ),
inference(cnfTransformation,[status(thm)],[f_399]) ).
tff(c_5731,plain,
! [U_1749,V_1750] :
( ( U_1749 = '#skF_51' )
| ( app(U_1749,V_1750) != '#skF_51' )
| ~ ssList(V_1750)
| ~ ssList(U_1749) ),
inference(demodulation,[status(thm),theory(equality)],[c_443,c_443,c_352]) ).
tff(c_5739,plain,
( ( app('#skF_53','#skF_50') = '#skF_51' )
| ~ ssList('#skF_54')
| ~ ssList(app('#skF_53','#skF_50')) ),
inference(superposition,[status(thm),theory(equality)],[c_669,c_5731]) ).
tff(c_5762,plain,
( ( app('#skF_53','#skF_50') = '#skF_51' )
| ~ ssList(app('#skF_53','#skF_50')) ),
inference(demodulation,[status(thm),theory(equality)],[c_551,c_5739]) ).
tff(c_5779,plain,
~ ssList(app('#skF_53','#skF_50')),
inference(splitLeft,[status(thm)],[c_5762]) ).
tff(c_5782,plain,
( ~ ssList('#skF_50')
| ~ ssList('#skF_53') ),
inference(resolution,[status(thm)],[c_192,c_5779]) ).
tff(c_5786,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_560,c_390,c_5782]) ).
tff(c_5787,plain,
app('#skF_53','#skF_50') = '#skF_51',
inference(splitRight,[status(thm)],[c_5762]) ).
tff(c_5730,plain,
! [U_1077,V_1079] :
( ( U_1077 = '#skF_51' )
| ( app(U_1077,V_1079) != '#skF_51' )
| ~ ssList(V_1079)
| ~ ssList(U_1077) ),
inference(demodulation,[status(thm),theory(equality)],[c_443,c_443,c_352]) ).
tff(c_5792,plain,
( ( '#skF_53' = '#skF_51' )
| ~ ssList('#skF_50')
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_5787,c_5730]) ).
tff(c_5800,plain,
'#skF_53' = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_560,c_390,c_5792]) ).
tff(c_5802,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2624,c_5800]) ).
tff(c_5804,plain,
nil != '#skF_51',
inference(splitRight,[status(thm)],[c_422]) ).
tff(c_5805,plain,
ssList('#skF_53'),
inference(negUnitSimplification,[status(thm)],[c_5804,c_424]) ).
tff(c_5803,plain,
ssList('#skF_54'),
inference(splitRight,[status(thm)],[c_422]) ).
tff(c_418,plain,
( ( app(app('#skF_53','#skF_50'),'#skF_54') = '#skF_51' )
| ( nil = '#skF_51' ) ),
inference(cnfTransformation,[status(thm)],[f_1038]) ).
tff(c_5983,plain,
app(app('#skF_53','#skF_50'),'#skF_54') = '#skF_51',
inference(negUnitSimplification,[status(thm)],[c_5804,c_418]) ).
tff(c_194615,plain,
! [W_4845,U_4846,X_4847,V_4848] :
( segmentP(app(app(W_4845,U_4846),X_4847),V_4848)
| ~ segmentP(U_4846,V_4848)
| ~ ssList(X_4847)
| ~ ssList(W_4845)
| ~ ssList(V_4848)
| ~ ssList(U_4846) ),
inference(cnfTransformation,[status(thm)],[f_682]) ).
tff(c_194836,plain,
! [V_4848] :
( segmentP('#skF_51',V_4848)
| ~ segmentP('#skF_50',V_4848)
| ~ ssList('#skF_54')
| ~ ssList('#skF_53')
| ~ ssList(V_4848)
| ~ ssList('#skF_50') ),
inference(superposition,[status(thm),theory(equality)],[c_5983,c_194615]) ).
tff(c_195533,plain,
! [V_4854] :
( segmentP('#skF_51',V_4854)
| ~ segmentP('#skF_50',V_4854)
| ~ ssList(V_4854) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_5805,c_5803,c_194836]) ).
tff(c_396,plain,
( ~ singletonP('#skF_48')
| ~ segmentP('#skF_49','#skF_48') ),
inference(cnfTransformation,[status(thm)],[f_1038]) ).
tff(c_429,plain,
( ~ singletonP('#skF_48')
| ~ segmentP('#skF_51','#skF_48') ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_396]) ).
tff(c_432,plain,
( ~ singletonP('#skF_50')
| ~ segmentP('#skF_51','#skF_50') ),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_384,c_429]) ).
tff(c_5817,plain,
~ segmentP('#skF_51','#skF_50'),
inference(splitLeft,[status(thm)],[c_432]) ).
tff(c_195540,plain,
( ~ segmentP('#skF_50','#skF_50')
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_195533,c_5817]) ).
tff(c_195549,plain,
~ segmentP('#skF_50','#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_195540]) ).
tff(c_195552,plain,
~ ssList('#skF_50'),
inference(resolution,[status(thm)],[c_270,c_195549]) ).
tff(c_195556,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_390,c_195552]) ).
tff(c_195557,plain,
~ singletonP('#skF_50'),
inference(splitRight,[status(thm)],[c_432]) ).
tff(c_426,plain,
( ssItem('#skF_52')
| ( nil = '#skF_51' ) ),
inference(cnfTransformation,[status(thm)],[f_1038]) ).
tff(c_5808,plain,
ssItem('#skF_52'),
inference(negUnitSimplification,[status(thm)],[c_5804,c_426]) ).
tff(c_420,plain,
( ( cons('#skF_52',nil) = '#skF_50' )
| ( nil = '#skF_51' ) ),
inference(cnfTransformation,[status(thm)],[f_1038]) ).
tff(c_5812,plain,
cons('#skF_52',nil) = '#skF_50',
inference(negUnitSimplification,[status(thm)],[c_5804,c_420]) ).
tff(c_205541,plain,
! [V_5280] :
( singletonP(cons(V_5280,nil))
| ~ ssItem(V_5280)
| ~ ssList(cons(V_5280,nil)) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_205551,plain,
( singletonP(cons('#skF_52',nil))
| ~ ssItem('#skF_52')
| ~ ssList('#skF_50') ),
inference(superposition,[status(thm),theory(equality)],[c_5812,c_205541]) ).
tff(c_205556,plain,
singletonP('#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_5808,c_5812,c_205551]) ).
tff(c_205558,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_195557,c_205556]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC389+1 : TPTP v8.1.2. Released v2.4.0.
% 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
% 0.17/0.35 % Computer : n021.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Thu Aug 3 21:36:06 EDT 2023
% 0.17/0.35 % CPUTime :
% 78.71/61.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 78.71/61.53
% 78.71/61.53 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 78.97/61.56
% 78.97/61.56 Inference rules
% 78.97/61.56 ----------------------
% 78.97/61.56 #Ref : 24
% 78.97/61.56 #Sup : 44815
% 78.97/61.56 #Fact : 0
% 78.97/61.56 #Define : 0
% 78.97/61.56 #Split : 360
% 78.97/61.56 #Chain : 0
% 78.97/61.56 #Close : 0
% 78.97/61.56
% 78.97/61.56 Ordering : KBO
% 78.97/61.56
% 78.97/61.56 Simplification rules
% 78.97/61.56 ----------------------
% 78.97/61.56 #Subsume : 6671
% 78.97/61.56 #Demod : 42586
% 78.97/61.56 #Tautology : 10497
% 78.97/61.56 #SimpNegUnit : 5185
% 78.97/61.56 #BackRed : 1042
% 78.97/61.56
% 78.97/61.56 #Partial instantiations: 0
% 78.97/61.56 #Strategies tried : 1
% 78.97/61.56
% 78.97/61.56 Timing (in seconds)
% 78.97/61.56 ----------------------
% 78.97/61.57 Preprocessing : 0.90
% 78.97/61.57 Parsing : 0.41
% 78.97/61.57 CNF conversion : 0.12
% 78.97/61.57 Main loop : 59.58
% 78.97/61.57 Inferencing : 9.79
% 78.97/61.57 Reduction : 28.63
% 78.97/61.57 Demodulation : 20.37
% 78.97/61.57 BG Simplification : 0.33
% 78.97/61.57 Subsumption : 15.67
% 78.97/61.57 Abstraction : 0.53
% 78.97/61.57 MUC search : 0.00
% 78.97/61.57 Cooper : 0.00
% 78.97/61.57 Total : 60.54
% 78.97/61.57 Index Insertion : 0.00
% 78.97/61.57 Index Deletion : 0.00
% 78.97/61.57 Index Matching : 0.00
% 78.97/61.57 BG Taut test : 0.00
%------------------------------------------------------------------------------