TSTP Solution File: SWC002+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC002+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/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 : 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 11:00:40 EDT 2023
% Result : Theorem 6.85s 2.52s
% Output : CNFRefutation 6.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 80
% Syntax : Number of formulae : 124 ( 15 unt; 79 typ; 0 def)
% Number of atoms : 190 ( 60 equ)
% Maximal formula atoms : 27 ( 4 avg)
% Number of connectives : 281 ( 136 ~; 128 |; 9 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 88 ( 69 >; 19 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-2 aty)
% Number of functors : 60 ( 60 usr; 10 con; 0-3 aty)
% Number of variables : 62 (; 58 !; 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_44 > #skF_21 > #skF_16 > #skF_6 > #skF_49 > #skF_18 > #skF_24 > #skF_35 > #skF_19 > #skF_31 > #skF_55 > #skF_22 > #skF_37 > #skF_54 > #skF_40 > #skF_52 > #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_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_55',type,
'#skF_55': $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_52',type,
'#skF_52': ( $i * $i * $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_1051,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( ( V != X )
| ( U != W )
| ( ( ~ neq(V,nil)
| ? [Y] :
( ssItem(Y)
& ? [Z] :
( ssList(Z)
& ? [X1] :
( ssList(X1)
& ( app(app(Z,cons(Y,nil)),X1) = V )
& ( app(Z,X1) = U )
& ! [X2] :
( ssItem(X2)
=> ( ~ memberP(V,X2)
| ~ geq(X2,Y)
| ( Y = X2 ) ) ) ) ) )
| ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( ( app(app(X4,cons(X3,nil)),X5) != X )
| ( app(X4,X5) != W )
| ? [X6] :
( ssItem(X6)
& ( X3 != X6 )
& memberP(X,X6)
& geq(X6,X3) ) ) ) ) ) )
& ( ~ neq(V,nil)
| neq(X,nil) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(c_386,plain,
'#skF_49' = '#skF_51',
inference(cnfTransformation,[status(thm)],[f_1051]) ).
tff(c_430,plain,
neq('#skF_49',nil),
inference(cnfTransformation,[status(thm)],[f_1051]) ).
tff(c_451,plain,
neq('#skF_51',nil),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_430]) ).
tff(c_406,plain,
( ssItem('#skF_53')
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1051]) ).
tff(c_458,plain,
ssItem('#skF_53'),
inference(demodulation,[status(thm),theory(equality)],[c_451,c_406]) ).
tff(c_404,plain,
( ssList('#skF_54')
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1051]) ).
tff(c_466,plain,
ssList('#skF_54'),
inference(demodulation,[status(thm),theory(equality)],[c_451,c_404]) ).
tff(c_402,plain,
( ssList('#skF_55')
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1051]) ).
tff(c_468,plain,
ssList('#skF_55'),
inference(demodulation,[status(thm),theory(equality)],[c_451,c_402]) ).
tff(c_398,plain,
( ( app('#skF_54','#skF_55') = '#skF_50' )
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1051]) ).
tff(c_464,plain,
app('#skF_54','#skF_55') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_451,c_398]) ).
tff(c_400,plain,
( ( app(app('#skF_54',cons('#skF_53',nil)),'#skF_55') = '#skF_51' )
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1051]) ).
tff(c_462,plain,
app(app('#skF_54',cons('#skF_53',nil)),'#skF_55') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_451,c_400]) ).
tff(c_384,plain,
'#skF_48' = '#skF_50',
inference(cnfTransformation,[status(thm)],[f_1051]) ).
tff(c_410,plain,
! [Y_1583,Z_1591,X1_1595] :
( ( '#skF_52'(Y_1583,Z_1591,X1_1595) != Y_1583 )
| ( app(Z_1591,X1_1595) != '#skF_48' )
| ( app(app(Z_1591,cons(Y_1583,nil)),X1_1595) != '#skF_49' )
| ~ ssList(X1_1595)
| ~ ssList(Z_1591)
| ~ ssItem(Y_1583)
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1051]) ).
tff(c_454,plain,
! [Y_1583,Z_1591,X1_1595] :
( ( '#skF_52'(Y_1583,Z_1591,X1_1595) != Y_1583 )
| ( app(Z_1591,X1_1595) != '#skF_48' )
| ( app(app(Z_1591,cons(Y_1583,nil)),X1_1595) != '#skF_51' )
| ~ ssList(X1_1595)
| ~ ssList(Z_1591)
| ~ ssItem(Y_1583)
| ~ neq('#skF_51',nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_410]) ).
tff(c_474,plain,
! [Y_1583,Z_1591,X1_1595] :
( ( '#skF_52'(Y_1583,Z_1591,X1_1595) != Y_1583 )
| ( app(Z_1591,X1_1595) != '#skF_48' )
| ( app(app(Z_1591,cons(Y_1583,nil)),X1_1595) != '#skF_51' )
| ~ ssList(X1_1595)
| ~ ssList(Z_1591)
| ~ ssItem(Y_1583) ),
inference(demodulation,[status(thm),theory(equality)],[c_451,c_454]) ).
tff(c_628,plain,
! [Y_1637,Z_1638,X1_1639] :
( ( '#skF_52'(Y_1637,Z_1638,X1_1639) != Y_1637 )
| ( app(Z_1638,X1_1639) != '#skF_50' )
| ( app(app(Z_1638,cons(Y_1637,nil)),X1_1639) != '#skF_51' )
| ~ ssList(X1_1639)
| ~ ssList(Z_1638)
| ~ ssItem(Y_1637) ),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_474]) ).
tff(c_631,plain,
( ( '#skF_52'('#skF_53','#skF_54','#skF_55') != '#skF_53' )
| ( app('#skF_54','#skF_55') != '#skF_50' )
| ~ ssList('#skF_55')
| ~ ssList('#skF_54')
| ~ ssItem('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_462,c_628]) ).
tff(c_634,plain,
'#skF_52'('#skF_53','#skF_54','#skF_55') != '#skF_53',
inference(demodulation,[status(thm),theory(equality)],[c_458,c_466,c_468,c_464,c_631]) ).
tff(c_416,plain,
! [Y_1583,Z_1591,X1_1595] :
( ssItem('#skF_52'(Y_1583,Z_1591,X1_1595))
| ( app(Z_1591,X1_1595) != '#skF_48' )
| ( app(app(Z_1591,cons(Y_1583,nil)),X1_1595) != '#skF_49' )
| ~ ssList(X1_1595)
| ~ ssList(Z_1591)
| ~ ssItem(Y_1583)
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1051]) ).
tff(c_453,plain,
! [Y_1583,Z_1591,X1_1595] :
( ssItem('#skF_52'(Y_1583,Z_1591,X1_1595))
| ( app(Z_1591,X1_1595) != '#skF_48' )
| ( app(app(Z_1591,cons(Y_1583,nil)),X1_1595) != '#skF_51' )
| ~ ssList(X1_1595)
| ~ ssList(Z_1591)
| ~ ssItem(Y_1583)
| ~ neq('#skF_51',nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_416]) ).
tff(c_472,plain,
! [Y_1583,Z_1591,X1_1595] :
( ssItem('#skF_52'(Y_1583,Z_1591,X1_1595))
| ( app(Z_1591,X1_1595) != '#skF_48' )
| ( app(app(Z_1591,cons(Y_1583,nil)),X1_1595) != '#skF_51' )
| ~ ssList(X1_1595)
| ~ ssList(Z_1591)
| ~ ssItem(Y_1583) ),
inference(demodulation,[status(thm),theory(equality)],[c_451,c_453]) ).
tff(c_683,plain,
! [Y_1648,Z_1649,X1_1650] :
( ssItem('#skF_52'(Y_1648,Z_1649,X1_1650))
| ( app(Z_1649,X1_1650) != '#skF_50' )
| ( app(app(Z_1649,cons(Y_1648,nil)),X1_1650) != '#skF_51' )
| ~ ssList(X1_1650)
| ~ ssList(Z_1649)
| ~ ssItem(Y_1648) ),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_472]) ).
tff(c_686,plain,
( ssItem('#skF_52'('#skF_53','#skF_54','#skF_55'))
| ( app('#skF_54','#skF_55') != '#skF_50' )
| ~ ssList('#skF_55')
| ~ ssList('#skF_54')
| ~ ssItem('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_462,c_683]) ).
tff(c_689,plain,
ssItem('#skF_52'('#skF_53','#skF_54','#skF_55')),
inference(demodulation,[status(thm),theory(equality)],[c_458,c_466,c_468,c_464,c_686]) ).
tff(c_414,plain,
! [Y_1583,Z_1591,X1_1595] :
( memberP('#skF_49','#skF_52'(Y_1583,Z_1591,X1_1595))
| ( app(Z_1591,X1_1595) != '#skF_48' )
| ( app(app(Z_1591,cons(Y_1583,nil)),X1_1595) != '#skF_49' )
| ~ ssList(X1_1595)
| ~ ssList(Z_1591)
| ~ ssItem(Y_1583)
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1051]) ).
tff(c_455,plain,
! [Y_1583,Z_1591,X1_1595] :
( memberP('#skF_51','#skF_52'(Y_1583,Z_1591,X1_1595))
| ( app(Z_1591,X1_1595) != '#skF_48' )
| ( app(app(Z_1591,cons(Y_1583,nil)),X1_1595) != '#skF_51' )
| ~ ssList(X1_1595)
| ~ ssList(Z_1591)
| ~ ssItem(Y_1583)
| ~ neq('#skF_51',nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_386,c_414]) ).
tff(c_476,plain,
! [Y_1583,Z_1591,X1_1595] :
( memberP('#skF_51','#skF_52'(Y_1583,Z_1591,X1_1595))
| ( app(Z_1591,X1_1595) != '#skF_48' )
| ( app(app(Z_1591,cons(Y_1583,nil)),X1_1595) != '#skF_51' )
| ~ ssList(X1_1595)
| ~ ssList(Z_1591)
| ~ ssItem(Y_1583) ),
inference(demodulation,[status(thm),theory(equality)],[c_451,c_455]) ).
tff(c_746,plain,
! [Y_1659,Z_1660,X1_1661] :
( memberP('#skF_51','#skF_52'(Y_1659,Z_1660,X1_1661))
| ( app(Z_1660,X1_1661) != '#skF_50' )
| ( app(app(Z_1660,cons(Y_1659,nil)),X1_1661) != '#skF_51' )
| ~ ssList(X1_1661)
| ~ ssList(Z_1660)
| ~ ssItem(Y_1659) ),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_476]) ).
tff(c_749,plain,
( memberP('#skF_51','#skF_52'('#skF_53','#skF_54','#skF_55'))
| ( app('#skF_54','#skF_55') != '#skF_50' )
| ~ ssList('#skF_55')
| ~ ssList('#skF_54')
| ~ ssItem('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_462,c_746]) ).
tff(c_752,plain,
memberP('#skF_51','#skF_52'('#skF_53','#skF_54','#skF_55')),
inference(demodulation,[status(thm),theory(equality)],[c_458,c_466,c_468,c_464,c_749]) ).
tff(c_396,plain,
! [X6_1608] :
( ~ geq(X6_1608,'#skF_53')
| ~ memberP('#skF_51',X6_1608)
| ( X6_1608 = '#skF_53' )
| ~ ssItem(X6_1608)
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1051]) ).
tff(c_460,plain,
! [X6_1608] :
( ~ geq(X6_1608,'#skF_53')
| ~ memberP('#skF_51',X6_1608)
| ( X6_1608 = '#skF_53' )
| ~ ssItem(X6_1608) ),
inference(demodulation,[status(thm),theory(equality)],[c_451,c_396]) ).
tff(c_755,plain,
( ~ geq('#skF_52'('#skF_53','#skF_54','#skF_55'),'#skF_53')
| ( '#skF_52'('#skF_53','#skF_54','#skF_55') = '#skF_53' )
| ~ ssItem('#skF_52'('#skF_53','#skF_54','#skF_55')) ),
inference(resolution,[status(thm)],[c_752,c_460]) ).
tff(c_758,plain,
( ~ geq('#skF_52'('#skF_53','#skF_54','#skF_55'),'#skF_53')
| ( '#skF_52'('#skF_53','#skF_54','#skF_55') = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_689,c_755]) ).
tff(c_759,plain,
~ geq('#skF_52'('#skF_53','#skF_54','#skF_55'),'#skF_53'),
inference(negUnitSimplification,[status(thm)],[c_634,c_758]) ).
tff(c_412,plain,
! [Y_1583,Z_1591,X1_1595] :
( geq('#skF_52'(Y_1583,Z_1591,X1_1595),Y_1583)
| ( app(Z_1591,X1_1595) != '#skF_48' )
| ( app(app(Z_1591,cons(Y_1583,nil)),X1_1595) != '#skF_49' )
| ~ ssList(X1_1595)
| ~ ssList(Z_1591)
| ~ ssItem(Y_1583)
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1051]) ).
tff(c_452,plain,
! [Y_1583,Z_1591,X1_1595] :
( geq('#skF_52'(Y_1583,Z_1591,X1_1595),Y_1583)
| ( app(Z_1591,X1_1595) != '#skF_48' )
| ( app(app(Z_1591,cons(Y_1583,nil)),X1_1595) != '#skF_51' )
| ~ ssList(X1_1595)
| ~ ssList(Z_1591)
| ~ ssItem(Y_1583)
| ~ neq('#skF_51',nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_412]) ).
tff(c_470,plain,
! [Y_1583,Z_1591,X1_1595] :
( geq('#skF_52'(Y_1583,Z_1591,X1_1595),Y_1583)
| ( app(Z_1591,X1_1595) != '#skF_48' )
| ( app(app(Z_1591,cons(Y_1583,nil)),X1_1595) != '#skF_51' )
| ~ ssList(X1_1595)
| ~ ssList(Z_1591)
| ~ ssItem(Y_1583) ),
inference(demodulation,[status(thm),theory(equality)],[c_451,c_452]) ).
tff(c_807,plain,
! [Y_1669,Z_1670,X1_1671] :
( geq('#skF_52'(Y_1669,Z_1670,X1_1671),Y_1669)
| ( app(Z_1670,X1_1671) != '#skF_50' )
| ( app(app(Z_1670,cons(Y_1669,nil)),X1_1671) != '#skF_51' )
| ~ ssList(X1_1671)
| ~ ssList(Z_1670)
| ~ ssItem(Y_1669) ),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_470]) ).
tff(c_809,plain,
( geq('#skF_52'('#skF_53','#skF_54','#skF_55'),'#skF_53')
| ( app('#skF_54','#skF_55') != '#skF_50' )
| ~ ssList('#skF_55')
| ~ ssList('#skF_54')
| ~ ssItem('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_462,c_807]) ).
tff(c_812,plain,
geq('#skF_52'('#skF_53','#skF_54','#skF_55'),'#skF_53'),
inference(demodulation,[status(thm),theory(equality)],[c_458,c_466,c_468,c_464,c_809]) ).
tff(c_814,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_759,c_812]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC002+1 : TPTP v8.1.2. Released v2.4.0.
% 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
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 21:48:23 EDT 2023
% 0.13/0.35 % CPUTime :
% 6.85/2.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.85/2.53
% 6.85/2.53 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.85/2.56
% 6.85/2.56 Inference rules
% 6.85/2.56 ----------------------
% 6.85/2.56 #Ref : 0
% 6.85/2.56 #Sup : 75
% 6.85/2.56 #Fact : 0
% 6.85/2.56 #Define : 0
% 6.85/2.56 #Split : 0
% 6.85/2.56 #Chain : 0
% 6.85/2.56 #Close : 0
% 6.85/2.56
% 6.85/2.56 Ordering : KBO
% 6.85/2.56
% 6.85/2.56 Simplification rules
% 6.85/2.56 ----------------------
% 6.85/2.56 #Subsume : 8
% 6.85/2.56 #Demod : 57
% 6.85/2.56 #Tautology : 46
% 6.85/2.56 #SimpNegUnit : 2
% 6.85/2.56 #BackRed : 0
% 6.85/2.56
% 6.85/2.56 #Partial instantiations: 0
% 6.85/2.56 #Strategies tried : 1
% 6.85/2.56
% 6.85/2.56 Timing (in seconds)
% 6.85/2.56 ----------------------
% 6.85/2.56 Preprocessing : 0.93
% 6.85/2.56 Parsing : 0.41
% 6.85/2.56 CNF conversion : 0.12
% 6.85/2.56 Main loop : 0.57
% 6.85/2.56 Inferencing : 0.14
% 6.85/2.56 Reduction : 0.20
% 6.85/2.56 Demodulation : 0.14
% 6.85/2.56 BG Simplification : 0.07
% 6.85/2.56 Subsumption : 0.14
% 6.85/2.56 Abstraction : 0.03
% 6.85/2.56 MUC search : 0.00
% 6.85/2.56 Cooper : 0.00
% 6.85/2.56 Total : 1.56
% 6.85/2.56 Index Insertion : 0.00
% 6.85/2.56 Index Deletion : 0.00
% 6.85/2.56 Index Matching : 0.00
% 6.85/2.56 BG Taut test : 0.00
%------------------------------------------------------------------------------