TSTP Solution File: SWC412+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC412+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 : n015.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 11:02:33 EDT 2023
% Result : Theorem 124.95s 105.07s
% Output : CNFRefutation 125.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 85
% Syntax : Number of formulae : 264 ( 84 unt; 84 typ; 0 def)
% Number of atoms : 411 ( 123 equ)
% Maximal formula atoms : 28 ( 2 avg)
% Number of connectives : 439 ( 208 ~; 212 |; 8 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 3 avg)
% Maximal term depth : 4 ( 2 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 : 65 ( 65 usr; 16 con; 0-2 aty)
% Number of variables : 115 (; 109 !; 6 ?; 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_60 > #skF_5 > #skF_57 > #skF_52 > #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_56 > #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_59 > #skF_9 > #skF_30 > #skF_58 > #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_60',type,
'#skF_60': $i ).
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff(equalelemsP,type,
equalelemsP: $i > $o ).
tff('#skF_57',type,
'#skF_57': $i ).
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_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('#skF_56',type,
'#skF_56': $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_59',type,
'#skF_59': $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_58',type,
'#skF_58': $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_1059,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ~ ssList(X)
| ( V != X )
| ( U != W )
| ( ( ? [Y] :
( ssItem(Y)
& ? [Z] :
( ssItem(Z)
& ? [X1] :
( ssList(X1)
& ( app(app(cons(Y,nil),cons(Z,nil)),X1) = X ) ) ) )
| ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ( app(app(cons(X2,nil),cons(X3,nil)),X4) != V ) ) ) ) )
& ( ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssList(X7)
& ( app(app(cons(X6,nil),X7),cons(X5,nil)) != W )
& ( app(app(cons(X5,nil),X7),cons(X6,nil)) = X ) ) ) )
| ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssList(X10)
=> ( app(app(cons(X8,nil),cons(X9,nil)),X10) != V ) ) ) )
| ! [X11] :
( ssItem(X11)
=> ! [X12] :
( ssItem(X12)
=> ! [X13] :
( ~ ssList(X13)
| ( app(app(cons(X11,nil),X13),cons(X12,nil)) != V )
| ( app(app(cons(X12,nil),X13),cons(X11,nil)) = U ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(c_492,plain,
! [X5_1669,X7_1675,X6_1673] :
( ssItem('#skF_52')
| ( app(app(cons(X5_1669,nil),X7_1675),cons(X6_1673,nil)) != '#skF_51' )
| ( app(app(cons(X6_1673,nil),X7_1675),cons(X5_1669,nil)) = '#skF_50' )
| ~ ssList(X7_1675)
| ~ ssItem(X6_1673)
| ~ ssItem(X5_1669) ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_836,plain,
ssItem('#skF_52'),
inference(splitLeft,[status(thm)],[c_492]) ).
tff(c_490,plain,
! [X5_1669,X7_1675,X6_1673] :
( ssItem('#skF_53')
| ( app(app(cons(X5_1669,nil),X7_1675),cons(X6_1673,nil)) != '#skF_51' )
| ( app(app(cons(X6_1673,nil),X7_1675),cons(X5_1669,nil)) = '#skF_50' )
| ~ ssList(X7_1675)
| ~ ssItem(X6_1673)
| ~ ssItem(X5_1669) ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_948,plain,
ssItem('#skF_53'),
inference(splitLeft,[status(thm)],[c_490]) ).
tff(c_488,plain,
! [X5_1669,X7_1675,X6_1673] :
( ssList('#skF_54')
| ( app(app(cons(X5_1669,nil),X7_1675),cons(X6_1673,nil)) != '#skF_51' )
| ( app(app(cons(X6_1673,nil),X7_1675),cons(X5_1669,nil)) = '#skF_50' )
| ~ ssList(X7_1675)
| ~ ssItem(X6_1673)
| ~ ssItem(X5_1669) ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_885,plain,
ssList('#skF_54'),
inference(splitLeft,[status(thm)],[c_488]) ).
tff(c_482,plain,
( ssItem('#skF_52')
| ssItem('#skF_55') ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_530,plain,
ssItem('#skF_55'),
inference(splitLeft,[status(thm)],[c_482]) ).
tff(c_468,plain,
( ssList('#skF_54')
| ssItem('#skF_56') ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_531,plain,
ssItem('#skF_56'),
inference(splitLeft,[status(thm)],[c_468]) ).
tff(c_462,plain,
( ssItem('#skF_52')
| ssList('#skF_57') ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_537,plain,
ssList('#skF_57'),
inference(splitLeft,[status(thm)],[c_462]) ).
tff(c_386,plain,
'#skF_49' = '#skF_51',
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_446,plain,
( ( app(app(cons('#skF_52',nil),cons('#skF_53',nil)),'#skF_54') = '#skF_49' )
| ( app(app(cons('#skF_55',nil),cons('#skF_56',nil)),'#skF_57') = '#skF_49' ) ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_513,plain,
( ( app(app(cons('#skF_52',nil),cons('#skF_53',nil)),'#skF_54') = '#skF_51' )
| ( app(app(cons('#skF_55',nil),cons('#skF_56',nil)),'#skF_57') = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_386,c_446]) ).
tff(c_463583,plain,
app(app(cons('#skF_55',nil),cons('#skF_56',nil)),'#skF_57') = '#skF_51',
inference(splitLeft,[status(thm)],[c_513]) ).
tff(c_384,plain,
'#skF_48' = '#skF_50',
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_404,plain,
! [Y_1658,Z_1662,X1_1664] :
( ( app(app(cons(Y_1658,nil),cons(Z_1662,nil)),X1_1664) != '#skF_51' )
| ~ ssList(X1_1664)
| ~ ssItem(Z_1662)
| ~ ssItem(Y_1658)
| ( app(app(cons('#skF_59',nil),'#skF_60'),cons('#skF_58',nil)) != '#skF_48' ) ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_517,plain,
! [Y_1658,Z_1662,X1_1664] :
( ( app(app(cons(Y_1658,nil),cons(Z_1662,nil)),X1_1664) != '#skF_51' )
| ~ ssList(X1_1664)
| ~ ssItem(Z_1662)
| ~ ssItem(Y_1658)
| ( app(app(cons('#skF_59',nil),'#skF_60'),cons('#skF_58',nil)) != '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_404]) ).
tff(c_464265,plain,
app(app(cons('#skF_59',nil),'#skF_60'),cons('#skF_58',nil)) != '#skF_50',
inference(splitLeft,[status(thm)],[c_517]) ).
tff(c_440,plain,
( ssItem('#skF_53')
| ssItem('#skF_58') ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_538,plain,
ssItem('#skF_58'),
inference(splitLeft,[status(thm)],[c_440]) ).
tff(c_432,plain,
( ssItem('#skF_52')
| ssItem('#skF_59') ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_541,plain,
ssItem('#skF_59'),
inference(splitLeft,[status(thm)],[c_432]) ).
tff(c_420,plain,
( ssItem('#skF_53')
| ssList('#skF_60') ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_536,plain,
ssList('#skF_60'),
inference(splitLeft,[status(thm)],[c_420]) ).
tff(c_406,plain,
( ( app(app(cons('#skF_52',nil),cons('#skF_53',nil)),'#skF_54') = '#skF_49' )
| ( app(app(cons('#skF_58',nil),'#skF_60'),cons('#skF_59',nil)) = '#skF_49' ) ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_511,plain,
( ( app(app(cons('#skF_52',nil),cons('#skF_53',nil)),'#skF_54') = '#skF_51' )
| ( app(app(cons('#skF_58',nil),'#skF_60'),cons('#skF_59',nil)) = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_386,c_406]) ).
tff(c_463698,plain,
app(app(cons('#skF_58',nil),'#skF_60'),cons('#skF_59',nil)) = '#skF_51',
inference(splitLeft,[status(thm)],[c_511]) ).
tff(c_220734,plain,
app(app(cons('#skF_55',nil),cons('#skF_56',nil)),'#skF_57') = '#skF_51',
inference(splitLeft,[status(thm)],[c_513]) ).
tff(c_494,plain,
! [Y_1658,X6_1673,X7_1675,X1_1664,X5_1669,Z_1662] :
( ( app(app(cons(Y_1658,nil),cons(Z_1662,nil)),X1_1664) != '#skF_51' )
| ~ ssList(X1_1664)
| ~ ssItem(Z_1662)
| ~ ssItem(Y_1658)
| ( app(app(cons(X5_1669,nil),X7_1675),cons(X6_1673,nil)) != '#skF_51' )
| ( app(app(cons(X6_1673,nil),X7_1675),cons(X5_1669,nil)) = '#skF_50' )
| ~ ssList(X7_1675)
| ~ ssItem(X6_1673)
| ~ ssItem(X5_1669) ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_160956,plain,
! [Y_1658,Z_1662,X1_1664] :
( ( app(app(cons(Y_1658,nil),cons(Z_1662,nil)),X1_1664) != '#skF_51' )
| ~ ssList(X1_1664)
| ~ ssItem(Z_1662)
| ~ ssItem(Y_1658) ),
inference(splitLeft,[status(thm)],[c_494]) ).
tff(c_220776,plain,
( ~ ssList('#skF_57')
| ~ ssItem('#skF_56')
| ~ ssItem('#skF_55') ),
inference(superposition,[status(thm),theory(equality)],[c_220734,c_160956]) ).
tff(c_220789,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_530,c_531,c_537,c_220776]) ).
tff(c_220790,plain,
app(app(cons('#skF_52',nil),cons('#skF_53',nil)),'#skF_54') = '#skF_51',
inference(splitRight,[status(thm)],[c_513]) ).
tff(c_220902,plain,
( ~ ssList('#skF_54')
| ~ ssItem('#skF_53')
| ~ ssItem('#skF_52') ),
inference(superposition,[status(thm),theory(equality)],[c_220790,c_160956]) ).
tff(c_220915,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_836,c_948,c_885,c_220902]) ).
tff(c_220916,plain,
! [X5_1669,X7_1675,X6_1673] :
( ( app(app(cons(X5_1669,nil),X7_1675),cons(X6_1673,nil)) != '#skF_51' )
| ( app(app(cons(X6_1673,nil),X7_1675),cons(X5_1669,nil)) = '#skF_50' )
| ~ ssList(X7_1675)
| ~ ssItem(X6_1673)
| ~ ssItem(X5_1669) ),
inference(splitRight,[status(thm)],[c_494]) ).
tff(c_464367,plain,
( ( app(app(cons('#skF_59',nil),'#skF_60'),cons('#skF_58',nil)) = '#skF_50' )
| ~ ssList('#skF_60')
| ~ ssItem('#skF_59')
| ~ ssItem('#skF_58') ),
inference(superposition,[status(thm),theory(equality)],[c_463698,c_220916]) ).
tff(c_464379,plain,
app(app(cons('#skF_59',nil),'#skF_60'),cons('#skF_58',nil)) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_538,c_541,c_536,c_464367]) ).
tff(c_464381,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_464265,c_464379]) ).
tff(c_464890,plain,
! [Y_17808,Z_17809,X1_17810] :
( ( app(app(cons(Y_17808,nil),cons(Z_17809,nil)),X1_17810) != '#skF_51' )
| ~ ssList(X1_17810)
| ~ ssItem(Z_17809)
| ~ ssItem(Y_17808) ),
inference(splitRight,[status(thm)],[c_517]) ).
tff(c_464893,plain,
( ~ ssList('#skF_57')
| ~ ssItem('#skF_56')
| ~ ssItem('#skF_55') ),
inference(superposition,[status(thm),theory(equality)],[c_463583,c_464890]) ).
tff(c_464903,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_530,c_531,c_537,c_464893]) ).
tff(c_464904,plain,
app(app(cons('#skF_52',nil),cons('#skF_53',nil)),'#skF_54') = '#skF_51',
inference(splitRight,[status(thm)],[c_511]) ).
tff(c_414,plain,
! [Y_1658,Z_1662,X1_1664] :
( ( app(app(cons(Y_1658,nil),cons(Z_1662,nil)),X1_1664) != '#skF_51' )
| ~ ssList(X1_1664)
| ~ ssItem(Z_1662)
| ~ ssItem(Y_1658)
| ( app(app(cons('#skF_58',nil),'#skF_60'),cons('#skF_59',nil)) = '#skF_49' ) ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_508,plain,
! [Y_1658,Z_1662,X1_1664] :
( ( app(app(cons(Y_1658,nil),cons(Z_1662,nil)),X1_1664) != '#skF_51' )
| ~ ssList(X1_1664)
| ~ ssItem(Z_1662)
| ~ ssItem(Y_1658)
| ( app(app(cons('#skF_58',nil),'#skF_60'),cons('#skF_59',nil)) = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_414]) ).
tff(c_466128,plain,
! [Y_17837,Z_17838,X1_17839] :
( ( app(app(cons(Y_17837,nil),cons(Z_17838,nil)),X1_17839) != '#skF_51' )
| ~ ssList(X1_17839)
| ~ ssItem(Z_17838)
| ~ ssItem(Y_17837) ),
inference(splitLeft,[status(thm)],[c_508]) ).
tff(c_466131,plain,
( ~ ssList('#skF_54')
| ~ ssItem('#skF_53')
| ~ ssItem('#skF_52') ),
inference(superposition,[status(thm),theory(equality)],[c_464904,c_466128]) ).
tff(c_466144,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_836,c_948,c_885,c_466131]) ).
tff(c_466145,plain,
app(app(cons('#skF_58',nil),'#skF_60'),cons('#skF_59',nil)) = '#skF_51',
inference(splitRight,[status(thm)],[c_508]) ).
tff(c_464905,plain,
app(app(cons('#skF_58',nil),'#skF_60'),cons('#skF_59',nil)) != '#skF_51',
inference(splitRight,[status(thm)],[c_511]) ).
tff(c_466369,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_466145,c_464905]) ).
tff(c_466370,plain,
app(app(cons('#skF_52',nil),cons('#skF_53',nil)),'#skF_54') = '#skF_51',
inference(splitRight,[status(thm)],[c_513]) ).
tff(c_454,plain,
! [Y_1658,Z_1662,X1_1664] :
( ( app(app(cons(Y_1658,nil),cons(Z_1662,nil)),X1_1664) != '#skF_51' )
| ~ ssList(X1_1664)
| ~ ssItem(Z_1662)
| ~ ssItem(Y_1658)
| ( app(app(cons('#skF_55',nil),cons('#skF_56',nil)),'#skF_57') = '#skF_49' ) ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_509,plain,
! [Y_1658,Z_1662,X1_1664] :
( ( app(app(cons(Y_1658,nil),cons(Z_1662,nil)),X1_1664) != '#skF_51' )
| ~ ssList(X1_1664)
| ~ ssItem(Z_1662)
| ~ ssItem(Y_1658)
| ( app(app(cons('#skF_55',nil),cons('#skF_56',nil)),'#skF_57') = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_454]) ).
tff(c_466968,plain,
! [Y_17854,Z_17855,X1_17856] :
( ( app(app(cons(Y_17854,nil),cons(Z_17855,nil)),X1_17856) != '#skF_51' )
| ~ ssList(X1_17856)
| ~ ssItem(Z_17855)
| ~ ssItem(Y_17854) ),
inference(splitLeft,[status(thm)],[c_509]) ).
tff(c_466971,plain,
( ~ ssList('#skF_54')
| ~ ssItem('#skF_53')
| ~ ssItem('#skF_52') ),
inference(superposition,[status(thm),theory(equality)],[c_466370,c_466968]) ).
tff(c_466981,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_836,c_948,c_885,c_466971]) ).
tff(c_466982,plain,
app(app(cons('#skF_55',nil),cons('#skF_56',nil)),'#skF_57') = '#skF_51',
inference(splitRight,[status(thm)],[c_509]) ).
tff(c_466371,plain,
app(app(cons('#skF_55',nil),cons('#skF_56',nil)),'#skF_57') != '#skF_51',
inference(splitRight,[status(thm)],[c_513]) ).
tff(c_467321,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_466982,c_466371]) ).
tff(c_467323,plain,
~ ssItem('#skF_53'),
inference(splitRight,[status(thm)],[c_490]) ).
tff(c_400,plain,
( ssItem('#skF_53')
| ( app(app(cons('#skF_59',nil),'#skF_60'),cons('#skF_58',nil)) != '#skF_48' ) ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_516,plain,
( ssItem('#skF_53')
| ( app(app(cons('#skF_59',nil),'#skF_60'),cons('#skF_58',nil)) != '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_400]) ).
tff(c_555989,plain,
app(app(cons('#skF_59',nil),'#skF_60'),cons('#skF_58',nil)) != '#skF_50',
inference(negUnitSimplification,[status(thm)],[c_467323,c_516]) ).
tff(c_410,plain,
( ssItem('#skF_53')
| ( app(app(cons('#skF_58',nil),'#skF_60'),cons('#skF_59',nil)) = '#skF_49' ) ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_510,plain,
( ssItem('#skF_53')
| ( app(app(cons('#skF_58',nil),'#skF_60'),cons('#skF_59',nil)) = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_410]) ).
tff(c_554944,plain,
app(app(cons('#skF_58',nil),'#skF_60'),cons('#skF_59',nil)) = '#skF_51',
inference(negUnitSimplification,[status(thm)],[c_467323,c_510]) ).
tff(c_558013,plain,
! [X5_21275,X7_21276,X6_21277] :
( ( app(app(cons(X5_21275,nil),X7_21276),cons(X6_21277,nil)) != '#skF_51' )
| ( app(app(cons(X6_21277,nil),X7_21276),cons(X5_21275,nil)) = '#skF_50' )
| ~ ssList(X7_21276)
| ~ ssItem(X6_21277)
| ~ ssItem(X5_21275) ),
inference(splitRight,[status(thm)],[c_490]) ).
tff(c_558019,plain,
( ( app(app(cons('#skF_59',nil),'#skF_60'),cons('#skF_58',nil)) = '#skF_50' )
| ~ ssList('#skF_60')
| ~ ssItem('#skF_59')
| ~ ssItem('#skF_58') ),
inference(superposition,[status(thm),theory(equality)],[c_554944,c_558013]) ).
tff(c_558022,plain,
app(app(cons('#skF_59',nil),'#skF_60'),cons('#skF_58',nil)) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_538,c_541,c_536,c_558019]) ).
tff(c_558024,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_555989,c_558022]) ).
tff(c_558026,plain,
~ ssList('#skF_54'),
inference(splitRight,[status(thm)],[c_488]) ).
tff(c_398,plain,
( ssList('#skF_54')
| ( app(app(cons('#skF_59',nil),'#skF_60'),cons('#skF_58',nil)) != '#skF_48' ) ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_519,plain,
( ssList('#skF_54')
| ( app(app(cons('#skF_59',nil),'#skF_60'),cons('#skF_58',nil)) != '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_398]) ).
tff(c_598447,plain,
app(app(cons('#skF_59',nil),'#skF_60'),cons('#skF_58',nil)) != '#skF_50',
inference(negUnitSimplification,[status(thm)],[c_558026,c_519]) ).
tff(c_408,plain,
( ssList('#skF_54')
| ( app(app(cons('#skF_58',nil),'#skF_60'),cons('#skF_59',nil)) = '#skF_49' ) ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_502,plain,
( ssList('#skF_54')
| ( app(app(cons('#skF_58',nil),'#skF_60'),cons('#skF_59',nil)) = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_408]) ).
tff(c_596430,plain,
app(app(cons('#skF_58',nil),'#skF_60'),cons('#skF_59',nil)) = '#skF_51',
inference(negUnitSimplification,[status(thm)],[c_558026,c_502]) ).
tff(c_448,plain,
( ssList('#skF_54')
| ( app(app(cons('#skF_55',nil),cons('#skF_56',nil)),'#skF_57') = '#skF_49' ) ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_504,plain,
( ssList('#skF_54')
| ( app(app(cons('#skF_55',nil),cons('#skF_56',nil)),'#skF_57') = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_448]) ).
tff(c_595231,plain,
app(app(cons('#skF_55',nil),cons('#skF_56',nil)),'#skF_57') = '#skF_51',
inference(negUnitSimplification,[status(thm)],[c_558026,c_504]) ).
tff(c_595950,plain,
! [Y_22750,Z_22751,X1_22752] :
( ( app(app(cons(Y_22750,nil),cons(Z_22751,nil)),X1_22752) != '#skF_51' )
| ~ ssList(X1_22752)
| ~ ssItem(Z_22751)
| ~ ssItem(Y_22750) ),
inference(splitLeft,[status(thm)],[c_494]) ).
tff(c_595953,plain,
( ~ ssList('#skF_57')
| ~ ssItem('#skF_56')
| ~ ssItem('#skF_55') ),
inference(superposition,[status(thm),theory(equality)],[c_595231,c_595950]) ).
tff(c_595963,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_530,c_531,c_537,c_595953]) ).
tff(c_600200,plain,
! [X5_22862,X7_22863,X6_22864] :
( ( app(app(cons(X5_22862,nil),X7_22863),cons(X6_22864,nil)) != '#skF_51' )
| ( app(app(cons(X6_22864,nil),X7_22863),cons(X5_22862,nil)) = '#skF_50' )
| ~ ssList(X7_22863)
| ~ ssItem(X6_22864)
| ~ ssItem(X5_22862) ),
inference(splitRight,[status(thm)],[c_494]) ).
tff(c_600202,plain,
( ( app(app(cons('#skF_59',nil),'#skF_60'),cons('#skF_58',nil)) = '#skF_50' )
| ~ ssList('#skF_60')
| ~ ssItem('#skF_59')
| ~ ssItem('#skF_58') ),
inference(superposition,[status(thm),theory(equality)],[c_596430,c_600200]) ).
tff(c_600209,plain,
app(app(cons('#skF_59',nil),'#skF_60'),cons('#skF_58',nil)) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_538,c_541,c_536,c_600202]) ).
tff(c_600211,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_598447,c_600209]) ).
tff(c_600213,plain,
~ ssItem('#skF_52'),
inference(splitRight,[status(thm)],[c_492]) ).
tff(c_402,plain,
( ssItem('#skF_52')
| ( app(app(cons('#skF_59',nil),'#skF_60'),cons('#skF_58',nil)) != '#skF_48' ) ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_518,plain,
( ssItem('#skF_52')
| ( app(app(cons('#skF_59',nil),'#skF_60'),cons('#skF_58',nil)) != '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_402]) ).
tff(c_669047,plain,
app(app(cons('#skF_59',nil),'#skF_60'),cons('#skF_58',nil)) != '#skF_50',
inference(negUnitSimplification,[status(thm)],[c_600213,c_518]) ).
tff(c_412,plain,
( ssItem('#skF_52')
| ( app(app(cons('#skF_58',nil),'#skF_60'),cons('#skF_59',nil)) = '#skF_49' ) ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_501,plain,
( ssItem('#skF_52')
| ( app(app(cons('#skF_58',nil),'#skF_60'),cons('#skF_59',nil)) = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_412]) ).
tff(c_662512,plain,
app(app(cons('#skF_58',nil),'#skF_60'),cons('#skF_59',nil)) = '#skF_51',
inference(negUnitSimplification,[status(thm)],[c_600213,c_501]) ).
tff(c_671337,plain,
! [X5_25534,X7_25535,X6_25536] :
( ( app(app(cons(X5_25534,nil),X7_25535),cons(X6_25536,nil)) != '#skF_51' )
| ( app(app(cons(X6_25536,nil),X7_25535),cons(X5_25534,nil)) = '#skF_50' )
| ~ ssList(X7_25535)
| ~ ssItem(X6_25536)
| ~ ssItem(X5_25534) ),
inference(splitRight,[status(thm)],[c_492]) ).
tff(c_671345,plain,
( ( app(app(cons('#skF_59',nil),'#skF_60'),cons('#skF_58',nil)) = '#skF_50' )
| ~ ssList('#skF_60')
| ~ ssItem('#skF_59')
| ~ ssItem('#skF_58') ),
inference(superposition,[status(thm),theory(equality)],[c_662512,c_671337]) ).
tff(c_671348,plain,
app(app(cons('#skF_59',nil),'#skF_60'),cons('#skF_58',nil)) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_538,c_541,c_536,c_671345]) ).
tff(c_671350,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_669047,c_671348]) ).
tff(c_671351,plain,
ssItem('#skF_52'),
inference(splitRight,[status(thm)],[c_432]) ).
tff(c_671352,plain,
~ ssItem('#skF_59'),
inference(splitRight,[status(thm)],[c_432]) ).
tff(c_430,plain,
( ssItem('#skF_53')
| ssItem('#skF_59') ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_671356,plain,
ssItem('#skF_53'),
inference(negUnitSimplification,[status(thm)],[c_671352,c_430]) ).
tff(c_428,plain,
( ssList('#skF_54')
| ssItem('#skF_59') ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_671359,plain,
ssList('#skF_54'),
inference(negUnitSimplification,[status(thm)],[c_671352,c_428]) ).
tff(c_426,plain,
( ( app(app(cons('#skF_52',nil),cons('#skF_53',nil)),'#skF_54') = '#skF_49' )
| ssItem('#skF_59') ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_506,plain,
( ( app(app(cons('#skF_52',nil),cons('#skF_53',nil)),'#skF_54') = '#skF_51' )
| ssItem('#skF_59') ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_426]) ).
tff(c_723556,plain,
app(app(cons('#skF_52',nil),cons('#skF_53',nil)),'#skF_54') = '#skF_51',
inference(negUnitSimplification,[status(thm)],[c_671352,c_506]) ).
tff(c_434,plain,
! [Y_1658,Z_1662,X1_1664] :
( ( app(app(cons(Y_1658,nil),cons(Z_1662,nil)),X1_1664) != '#skF_51' )
| ~ ssList(X1_1664)
| ~ ssItem(Z_1662)
| ~ ssItem(Y_1658)
| ssItem('#skF_59') ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_671514,plain,
! [Y_1658,Z_1662,X1_1664] :
( ( app(app(cons(Y_1658,nil),cons(Z_1662,nil)),X1_1664) != '#skF_51' )
| ~ ssList(X1_1664)
| ~ ssItem(Z_1662)
| ~ ssItem(Y_1658) ),
inference(negUnitSimplification,[status(thm)],[c_671352,c_434]) ).
tff(c_723565,plain,
( ~ ssList('#skF_54')
| ~ ssItem('#skF_53')
| ~ ssItem('#skF_52') ),
inference(superposition,[status(thm),theory(equality)],[c_723556,c_671514]) ).
tff(c_723576,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_671351,c_671356,c_671359,c_723565]) ).
tff(c_723578,plain,
~ ssItem('#skF_58'),
inference(splitRight,[status(thm)],[c_440]) ).
tff(c_442,plain,
( ssItem('#skF_52')
| ssItem('#skF_58') ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_723585,plain,
ssItem('#skF_52'),
inference(negUnitSimplification,[status(thm)],[c_723578,c_442]) ).
tff(c_723577,plain,
ssItem('#skF_53'),
inference(splitRight,[status(thm)],[c_440]) ).
tff(c_438,plain,
( ssList('#skF_54')
| ssItem('#skF_58') ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_723582,plain,
ssList('#skF_54'),
inference(negUnitSimplification,[status(thm)],[c_723578,c_438]) ).
tff(c_436,plain,
( ( app(app(cons('#skF_52',nil),cons('#skF_53',nil)),'#skF_54') = '#skF_49' )
| ssItem('#skF_58') ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_505,plain,
( ( app(app(cons('#skF_52',nil),cons('#skF_53',nil)),'#skF_54') = '#skF_51' )
| ssItem('#skF_58') ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_436]) ).
tff(c_764123,plain,
app(app(cons('#skF_52',nil),cons('#skF_53',nil)),'#skF_54') = '#skF_51',
inference(negUnitSimplification,[status(thm)],[c_723578,c_505]) ).
tff(c_444,plain,
! [Y_1658,Z_1662,X1_1664] :
( ( app(app(cons(Y_1658,nil),cons(Z_1662,nil)),X1_1664) != '#skF_51' )
| ~ ssList(X1_1664)
| ~ ssItem(Z_1662)
| ~ ssItem(Y_1658)
| ssItem('#skF_58') ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_723847,plain,
! [Y_1658,Z_1662,X1_1664] :
( ( app(app(cons(Y_1658,nil),cons(Z_1662,nil)),X1_1664) != '#skF_51' )
| ~ ssList(X1_1664)
| ~ ssItem(Z_1662)
| ~ ssItem(Y_1658) ),
inference(negUnitSimplification,[status(thm)],[c_723578,c_444]) ).
tff(c_764134,plain,
( ~ ssList('#skF_54')
| ~ ssItem('#skF_53')
| ~ ssItem('#skF_52') ),
inference(superposition,[status(thm),theory(equality)],[c_764123,c_723847]) ).
tff(c_764147,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_723585,c_723577,c_723582,c_764134]) ).
tff(c_764148,plain,
ssItem('#skF_52'),
inference(splitRight,[status(thm)],[c_462]) ).
tff(c_764149,plain,
~ ssList('#skF_57'),
inference(splitRight,[status(thm)],[c_462]) ).
tff(c_460,plain,
( ssItem('#skF_53')
| ssList('#skF_57') ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_764150,plain,
ssItem('#skF_53'),
inference(negUnitSimplification,[status(thm)],[c_764149,c_460]) ).
tff(c_458,plain,
( ssList('#skF_54')
| ssList('#skF_57') ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_764152,plain,
ssList('#skF_54'),
inference(negUnitSimplification,[status(thm)],[c_764149,c_458]) ).
tff(c_456,plain,
( ( app(app(cons('#skF_52',nil),cons('#skF_53',nil)),'#skF_54') = '#skF_49' )
| ssList('#skF_57') ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_497,plain,
( ( app(app(cons('#skF_52',nil),cons('#skF_53',nil)),'#skF_54') = '#skF_51' )
| ssList('#skF_57') ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_456]) ).
tff(c_824673,plain,
app(app(cons('#skF_52',nil),cons('#skF_53',nil)),'#skF_54') = '#skF_51',
inference(negUnitSimplification,[status(thm)],[c_764149,c_497]) ).
tff(c_464,plain,
! [Y_1658,Z_1662,X1_1664] :
( ( app(app(cons(Y_1658,nil),cons(Z_1662,nil)),X1_1664) != '#skF_51' )
| ~ ssList(X1_1664)
| ~ ssItem(Z_1662)
| ~ ssItem(Y_1658)
| ssList('#skF_57') ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_764203,plain,
! [Y_1658,Z_1662,X1_1664] :
( ( app(app(cons(Y_1658,nil),cons(Z_1662,nil)),X1_1664) != '#skF_51' )
| ~ ssList(X1_1664)
| ~ ssItem(Z_1662)
| ~ ssItem(Y_1658) ),
inference(negUnitSimplification,[status(thm)],[c_764149,c_464]) ).
tff(c_824682,plain,
( ~ ssList('#skF_54')
| ~ ssItem('#skF_53')
| ~ ssItem('#skF_52') ),
inference(superposition,[status(thm),theory(equality)],[c_824673,c_764203]) ).
tff(c_824692,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_764148,c_764150,c_764152,c_824682]) ).
tff(c_824694,plain,
~ ssList('#skF_60'),
inference(splitRight,[status(thm)],[c_420]) ).
tff(c_422,plain,
( ssItem('#skF_52')
| ssList('#skF_60') ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_824705,plain,
ssItem('#skF_52'),
inference(negUnitSimplification,[status(thm)],[c_824694,c_422]) ).
tff(c_824693,plain,
ssItem('#skF_53'),
inference(splitRight,[status(thm)],[c_420]) ).
tff(c_418,plain,
( ssList('#skF_54')
| ssList('#skF_60') ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_824702,plain,
ssList('#skF_54'),
inference(negUnitSimplification,[status(thm)],[c_824694,c_418]) ).
tff(c_416,plain,
( ( app(app(cons('#skF_52',nil),cons('#skF_53',nil)),'#skF_54') = '#skF_49' )
| ssList('#skF_60') ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_500,plain,
( ( app(app(cons('#skF_52',nil),cons('#skF_53',nil)),'#skF_54') = '#skF_51' )
| ssList('#skF_60') ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_416]) ).
tff(c_855011,plain,
app(app(cons('#skF_52',nil),cons('#skF_53',nil)),'#skF_54') = '#skF_51',
inference(negUnitSimplification,[status(thm)],[c_824694,c_500]) ).
tff(c_424,plain,
! [Y_1658,Z_1662,X1_1664] :
( ( app(app(cons(Y_1658,nil),cons(Z_1662,nil)),X1_1664) != '#skF_51' )
| ~ ssList(X1_1664)
| ~ ssItem(Z_1662)
| ~ ssItem(Y_1658)
| ssList('#skF_60') ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_824719,plain,
! [Y_1658,Z_1662,X1_1664] :
( ( app(app(cons(Y_1658,nil),cons(Z_1662,nil)),X1_1664) != '#skF_51' )
| ~ ssList(X1_1664)
| ~ ssItem(Z_1662)
| ~ ssItem(Y_1658) ),
inference(negUnitSimplification,[status(thm)],[c_824694,c_424]) ).
tff(c_855018,plain,
( ~ ssList('#skF_54')
| ~ ssItem('#skF_53')
| ~ ssItem('#skF_52') ),
inference(superposition,[status(thm),theory(equality)],[c_855011,c_824719]) ).
tff(c_855026,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_824705,c_824693,c_824702,c_855018]) ).
tff(c_855028,plain,
~ ssItem('#skF_56'),
inference(splitRight,[status(thm)],[c_468]) ).
tff(c_472,plain,
( ssItem('#skF_52')
| ssItem('#skF_56') ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_855038,plain,
ssItem('#skF_52'),
inference(negUnitSimplification,[status(thm)],[c_855028,c_472]) ).
tff(c_470,plain,
( ssItem('#skF_53')
| ssItem('#skF_56') ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_855030,plain,
ssItem('#skF_53'),
inference(negUnitSimplification,[status(thm)],[c_855028,c_470]) ).
tff(c_855027,plain,
ssList('#skF_54'),
inference(splitRight,[status(thm)],[c_468]) ).
tff(c_466,plain,
( ( app(app(cons('#skF_52',nil),cons('#skF_53',nil)),'#skF_54') = '#skF_49' )
| ssItem('#skF_56') ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_499,plain,
( ( app(app(cons('#skF_52',nil),cons('#skF_53',nil)),'#skF_54') = '#skF_51' )
| ssItem('#skF_56') ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_466]) ).
tff(c_873133,plain,
app(app(cons('#skF_52',nil),cons('#skF_53',nil)),'#skF_54') = '#skF_51',
inference(negUnitSimplification,[status(thm)],[c_855028,c_499]) ).
tff(c_474,plain,
! [Y_1658,Z_1662,X1_1664] :
( ( app(app(cons(Y_1658,nil),cons(Z_1662,nil)),X1_1664) != '#skF_51' )
| ~ ssList(X1_1664)
| ~ ssItem(Z_1662)
| ~ ssItem(Y_1658)
| ssItem('#skF_56') ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_855212,plain,
! [Y_1658,Z_1662,X1_1664] :
( ( app(app(cons(Y_1658,nil),cons(Z_1662,nil)),X1_1664) != '#skF_51' )
| ~ ssList(X1_1664)
| ~ ssItem(Z_1662)
| ~ ssItem(Y_1658) ),
inference(negUnitSimplification,[status(thm)],[c_855028,c_474]) ).
tff(c_873140,plain,
( ~ ssList('#skF_54')
| ~ ssItem('#skF_53')
| ~ ssItem('#skF_52') ),
inference(superposition,[status(thm),theory(equality)],[c_873133,c_855212]) ).
tff(c_873148,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_855038,c_855030,c_855027,c_873140]) ).
tff(c_873149,plain,
ssItem('#skF_52'),
inference(splitRight,[status(thm)],[c_482]) ).
tff(c_873150,plain,
~ ssItem('#skF_55'),
inference(splitRight,[status(thm)],[c_482]) ).
tff(c_480,plain,
( ssItem('#skF_53')
| ssItem('#skF_55') ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_873152,plain,
ssItem('#skF_53'),
inference(negUnitSimplification,[status(thm)],[c_873150,c_480]) ).
tff(c_478,plain,
( ssList('#skF_54')
| ssItem('#skF_55') ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_873158,plain,
ssList('#skF_54'),
inference(negUnitSimplification,[status(thm)],[c_873150,c_478]) ).
tff(c_476,plain,
( ( app(app(cons('#skF_52',nil),cons('#skF_53',nil)),'#skF_54') = '#skF_49' )
| ssItem('#skF_55') ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_496,plain,
( ( app(app(cons('#skF_52',nil),cons('#skF_53',nil)),'#skF_54') = '#skF_51' )
| ssItem('#skF_55') ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_476]) ).
tff(c_908987,plain,
app(app(cons('#skF_52',nil),cons('#skF_53',nil)),'#skF_54') = '#skF_51',
inference(negUnitSimplification,[status(thm)],[c_873150,c_496]) ).
tff(c_484,plain,
! [Y_1658,Z_1662,X1_1664] :
( ( app(app(cons(Y_1658,nil),cons(Z_1662,nil)),X1_1664) != '#skF_51' )
| ~ ssList(X1_1664)
| ~ ssItem(Z_1662)
| ~ ssItem(Y_1658)
| ssItem('#skF_55') ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_873260,plain,
! [Y_1658,Z_1662,X1_1664] :
( ( app(app(cons(Y_1658,nil),cons(Z_1662,nil)),X1_1664) != '#skF_51' )
| ~ ssList(X1_1664)
| ~ ssItem(Z_1662)
| ~ ssItem(Y_1658) ),
inference(negUnitSimplification,[status(thm)],[c_873150,c_484]) ).
tff(c_908994,plain,
( ~ ssList('#skF_54')
| ~ ssItem('#skF_53')
| ~ ssItem('#skF_52') ),
inference(superposition,[status(thm),theory(equality)],[c_908987,c_873260]) ).
tff(c_909002,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_873149,c_873152,c_873158,c_908994]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC412+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/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
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 21:35:29 EDT 2023
% 0.14/0.36 % CPUTime :
% 124.95/105.07 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 124.95/105.09
% 124.95/105.09 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 125.19/105.15
% 125.19/105.15 Inference rules
% 125.19/105.15 ----------------------
% 125.19/105.15 #Ref : 0
% 125.19/105.15 #Sup : 203088
% 125.19/105.15 #Fact : 0
% 125.19/105.15 #Define : 0
% 125.19/105.15 #Split : 5709
% 125.19/105.15 #Chain : 0
% 125.19/105.15 #Close : 0
% 125.19/105.15
% 125.19/105.15 Ordering : KBO
% 125.19/105.15
% 125.19/105.15 Simplification rules
% 125.19/105.15 ----------------------
% 125.19/105.15 #Subsume : 28471
% 125.19/105.15 #Demod : 173341
% 125.19/105.15 #Tautology : 96035
% 125.19/105.15 #SimpNegUnit : 18557
% 125.19/105.15 #BackRed : 9646
% 125.19/105.15
% 125.19/105.15 #Partial instantiations: 0
% 125.19/105.15 #Strategies tried : 1
% 125.19/105.15
% 125.19/105.15 Timing (in seconds)
% 125.19/105.15 ----------------------
% 125.19/105.15 Preprocessing : 0.91
% 125.19/105.15 Parsing : 0.41
% 125.19/105.15 CNF conversion : 0.12
% 125.19/105.15 Main loop : 103.09
% 125.19/105.15 Inferencing : 32.44
% 125.19/105.15 Reduction : 40.82
% 125.19/105.15 Demodulation : 30.79
% 125.19/105.15 BG Simplification : 0.95
% 125.19/105.15 Subsumption : 21.22
% 125.19/105.15 Abstraction : 1.62
% 125.19/105.15 MUC search : 0.00
% 125.19/105.15 Cooper : 0.00
% 125.19/105.15 Total : 104.10
% 125.19/105.15 Index Insertion : 0.00
% 125.19/105.15 Index Deletion : 0.00
% 125.19/105.15 Index Matching : 0.00
% 125.19/105.15 BG Taut test : 0.00
%------------------------------------------------------------------------------