TSTP Solution File: SWC061+1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC061+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 : n020.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 11:00:59 EDT 2023
% Result : Theorem 249.84s 218.71s
% Output : CNFRefutation 250.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 90
% Syntax : Number of formulae : 192 ( 51 unt; 77 typ; 0 def)
% Number of atoms : 285 ( 77 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 318 ( 148 ~; 131 |; 9 &)
% ( 2 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 4 ( 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 : 58 ( 58 usr; 9 con; 0-2 aty)
% Number of variables : 76 (; 72 !; 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_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_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_1032,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ~ ssList(X)
| ( V != X )
| ( U != W )
| ( ( nil != W )
& ( nil = X ) )
| ( ! [Y] :
( ssItem(Y)
=> ! [Z] :
( ~ ssList(Z)
| ( app(cons(Y,nil),Z) != X )
| ( app(Z,cons(Y,nil)) != W ) ) )
& neq(X,nil) )
| ( ( ( nil != V )
| ( nil = U ) )
& ( ~ neq(V,nil)
| ? [X1] :
( ssList(X1)
& neq(X1,nil)
& segmentP(V,X1)
& segmentP(U,X1) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f_667,axiom,
! [U] :
( ssList(U)
=> segmentP(U,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax55) ).
tff(f_769,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ? [V] :
( ssItem(V)
& ( hd(U) = V ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax75) ).
tff(f_834,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> ( cons(V,U) = app(cons(V,nil),U) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).
tff(f_413,axiom,
! [U] :
( ssList(U)
=> ( app(nil,U) = U ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).
tff(f_319,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
tff(f_311,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( neq(U,V)
<=> ( U != V ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).
tff(f_859,axiom,
! [U] :
( ssList(U)
=> ( app(U,nil) = U ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax84) ).
tff(f_318,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> ssList(cons(V,U)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).
tff(f_869,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( ( nil != U )
=> ( hd(app(U,V)) = hd(U) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax85) ).
tff(f_135,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( segmentP(U,V)
<=> ? [W] :
( ssList(W)
& ? [X] :
( ssList(X)
& ( app(app(W,V),X) = U ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax7) ).
tff(f_844,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ( app(app(U,V),W) = app(U,app(V,W)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax82) ).
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/sandbox2/benchmark/Axioms/SWC001+0.ax',ax56) ).
tff(c_392,plain,
ssList('#skF_50'),
inference(cnfTransformation,[status(thm)],[f_1032]) ).
tff(c_270,plain,
! [U_1014] :
( segmentP(U_1014,U_1014)
| ~ ssList(U_1014) ),
inference(cnfTransformation,[status(thm)],[f_667]) ).
tff(c_412,plain,
( ssItem('#skF_52')
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1032]) ).
tff(c_434,plain,
~ neq('#skF_51',nil),
inference(splitLeft,[status(thm)],[c_412]) ).
tff(c_384,plain,
( ( nil != '#skF_51' )
| ( nil = '#skF_50' ) ),
inference(cnfTransformation,[status(thm)],[f_1032]) ).
tff(c_432,plain,
nil != '#skF_51',
inference(splitLeft,[status(thm)],[c_384]) ).
tff(c_388,plain,
'#skF_49' = '#skF_51',
inference(cnfTransformation,[status(thm)],[f_1032]) ).
tff(c_404,plain,
( ( nil = '#skF_49' )
| neq('#skF_49',nil) ),
inference(cnfTransformation,[status(thm)],[f_1032]) ).
tff(c_417,plain,
( ( nil = '#skF_51' )
| neq('#skF_51',nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_388,c_404]) ).
tff(c_444,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_434,c_432,c_417]) ).
tff(c_446,plain,
neq('#skF_51',nil),
inference(splitRight,[status(thm)],[c_412]) ).
tff(c_410,plain,
( ssList('#skF_53')
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1032]) ).
tff(c_453,plain,
ssList('#skF_53'),
inference(demodulation,[status(thm),theory(equality)],[c_446,c_410]) ).
tff(c_445,plain,
ssItem('#skF_52'),
inference(splitRight,[status(thm)],[c_412]) ).
tff(c_894,plain,
! [U_1274] :
( ( hd(U_1274) = '#skF_46'(U_1274) )
| ( nil = U_1274 )
| ~ ssList(U_1274) ),
inference(cnfTransformation,[status(thm)],[f_769]) ).
tff(c_1003,plain,
( ( hd('#skF_53') = '#skF_46'('#skF_53') )
| ( nil = '#skF_53' ) ),
inference(resolution,[status(thm)],[c_453,c_894]) ).
tff(c_1032,plain,
nil = '#skF_53',
inference(splitLeft,[status(thm)],[c_1003]) ).
tff(c_346,plain,
! [V_1069,U_1067] :
( ( app(cons(V_1069,nil),U_1067) = cons(V_1069,U_1067) )
| ~ ssItem(V_1069)
| ~ ssList(U_1067) ),
inference(cnfTransformation,[status(thm)],[f_834]) ).
tff(c_9015,plain,
! [V_1597,U_1598] :
( ( app(cons(V_1597,'#skF_53'),U_1598) = cons(V_1597,U_1598) )
| ~ ssItem(V_1597)
| ~ ssList(U_1598) ),
inference(demodulation,[status(thm),theory(equality)],[c_1032,c_346]) ).
tff(c_408,plain,
( ( app(cons('#skF_52',nil),'#skF_53') = '#skF_51' )
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1032]) ).
tff(c_465,plain,
app(cons('#skF_52',nil),'#skF_53') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_446,c_408]) ).
tff(c_1063,plain,
app(cons('#skF_52','#skF_53'),'#skF_53') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_1032,c_465]) ).
tff(c_9025,plain,
( ( cons('#skF_52','#skF_53') = '#skF_51' )
| ~ ssItem('#skF_52')
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_9015,c_1063]) ).
tff(c_9046,plain,
cons('#skF_52','#skF_53') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_453,c_445,c_9025]) ).
tff(c_406,plain,
( ( app('#skF_53',cons('#skF_52',nil)) = '#skF_50' )
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1032]) ).
tff(c_508,plain,
app('#skF_53',cons('#skF_52',nil)) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_446,c_406]) ).
tff(c_1053,plain,
app('#skF_53',cons('#skF_52','#skF_53')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_1032,c_508]) ).
tff(c_9054,plain,
app('#skF_53','#skF_51') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_9046,c_1053]) ).
tff(c_390,plain,
ssList('#skF_51'),
inference(cnfTransformation,[status(thm)],[f_1032]) ).
tff(c_513,plain,
! [U_1222] :
( ( app(nil,U_1222) = U_1222 )
| ~ ssList(U_1222) ),
inference(cnfTransformation,[status(thm)],[f_413]) ).
tff(c_530,plain,
app(nil,'#skF_51') = '#skF_51',
inference(resolution,[status(thm)],[c_390,c_513]) ).
tff(c_1050,plain,
app('#skF_53','#skF_51') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_1032,c_530]) ).
tff(c_9208,plain,
'#skF_51' = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_9054,c_1050]) ).
tff(c_386,plain,
'#skF_48' = '#skF_50',
inference(cnfTransformation,[status(thm)],[f_1032]) ).
tff(c_400,plain,
! [X1_1194] :
( ( nil = '#skF_49' )
| ~ segmentP('#skF_48',X1_1194)
| ~ segmentP('#skF_49',X1_1194)
| ~ neq(X1_1194,nil)
| ~ ssList(X1_1194) ),
inference(cnfTransformation,[status(thm)],[f_1032]) ).
tff(c_415,plain,
! [X1_1194] :
( ( nil = '#skF_51' )
| ~ segmentP('#skF_48',X1_1194)
| ~ segmentP('#skF_51',X1_1194)
| ~ neq(X1_1194,nil)
| ~ ssList(X1_1194) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_388,c_400]) ).
tff(c_421,plain,
! [X1_1194] :
( ( nil = '#skF_51' )
| ~ segmentP('#skF_50',X1_1194)
| ~ segmentP('#skF_51',X1_1194)
| ~ neq(X1_1194,nil)
| ~ ssList(X1_1194) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_415]) ).
tff(c_606,plain,
! [X1_1236] :
( ~ segmentP('#skF_50',X1_1236)
| ~ segmentP('#skF_51',X1_1236)
| ~ neq(X1_1236,nil)
| ~ ssList(X1_1236) ),
inference(negUnitSimplification,[status(thm)],[c_432,c_421]) ).
tff(c_614,plain,
( ~ segmentP('#skF_50','#skF_51')
| ~ neq('#skF_51',nil)
| ~ ssList('#skF_51') ),
inference(resolution,[status(thm)],[c_270,c_606]) ).
tff(c_620,plain,
~ segmentP('#skF_50','#skF_51'),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_446,c_614]) ).
tff(c_9247,plain,
~ segmentP('#skF_50','#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_9208,c_620]) ).
tff(c_9273,plain,
~ ssList('#skF_50'),
inference(resolution,[status(thm)],[c_270,c_9247]) ).
tff(c_9277,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_392,c_9273]) ).
tff(c_9279,plain,
nil != '#skF_53',
inference(splitRight,[status(thm)],[c_1003]) ).
tff(c_168,plain,
ssList(nil),
inference(cnfTransformation,[status(thm)],[f_319]) ).
tff(c_162,plain,
! [U_856,V_858] :
( neq(U_856,V_858)
| ( V_858 = U_856 )
| ~ ssList(V_858)
| ~ ssList(U_856) ),
inference(cnfTransformation,[status(thm)],[f_311]) ).
tff(c_473,plain,
! [U_1220] :
( ( app(U_1220,nil) = U_1220 )
| ~ ssList(U_1220) ),
inference(cnfTransformation,[status(thm)],[f_859]) ).
tff(c_489,plain,
app('#skF_51',nil) = '#skF_51',
inference(resolution,[status(thm)],[c_390,c_473]) ).
tff(c_166,plain,
! [V_861,U_859] :
( ssList(cons(V_861,U_859))
| ~ ssItem(V_861)
| ~ ssList(U_859) ),
inference(cnfTransformation,[status(thm)],[f_318]) ).
tff(c_398,plain,
! [X1_1194] :
( ( nil != '#skF_48' )
| ~ segmentP('#skF_48',X1_1194)
| ~ segmentP('#skF_49',X1_1194)
| ~ neq(X1_1194,nil)
| ~ ssList(X1_1194) ),
inference(cnfTransformation,[status(thm)],[f_1032]) ).
tff(c_416,plain,
! [X1_1194] :
( ( nil != '#skF_48' )
| ~ segmentP('#skF_48',X1_1194)
| ~ segmentP('#skF_51',X1_1194)
| ~ neq(X1_1194,nil)
| ~ ssList(X1_1194) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_398]) ).
tff(c_422,plain,
! [X1_1194] :
( ( nil != '#skF_50' )
| ~ segmentP('#skF_50',X1_1194)
| ~ segmentP('#skF_51',X1_1194)
| ~ neq(X1_1194,nil)
| ~ ssList(X1_1194) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_386,c_416]) ).
tff(c_564,plain,
nil != '#skF_50',
inference(splitLeft,[status(thm)],[c_422]) ).
tff(c_975,plain,
( ( hd('#skF_50') = '#skF_46'('#skF_50') )
| ( nil = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_392,c_894]) ).
tff(c_1008,plain,
hd('#skF_50') = '#skF_46'('#skF_50'),
inference(negUnitSimplification,[status(thm)],[c_564,c_975]) ).
tff(c_9278,plain,
hd('#skF_53') = '#skF_46'('#skF_53'),
inference(splitRight,[status(thm)],[c_1003]) ).
tff(c_20394,plain,
! [U_1985,V_1986] :
( ( hd(app(U_1985,V_1986)) = hd(U_1985) )
| ( nil = U_1985 )
| ~ ssList(V_1986)
| ~ ssList(U_1985) ),
inference(cnfTransformation,[status(thm)],[f_869]) ).
tff(c_20583,plain,
( ( hd('#skF_53') = hd('#skF_50') )
| ( nil = '#skF_53' )
| ~ ssList(cons('#skF_52',nil))
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_508,c_20394]) ).
tff(c_20774,plain,
( ( '#skF_46'('#skF_53') = '#skF_46'('#skF_50') )
| ( nil = '#skF_53' )
| ~ ssList(cons('#skF_52',nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_453,c_1008,c_9278,c_20583]) ).
tff(c_20775,plain,
( ( '#skF_46'('#skF_53') = '#skF_46'('#skF_50') )
| ~ ssList(cons('#skF_52',nil)) ),
inference(negUnitSimplification,[status(thm)],[c_9279,c_20774]) ).
tff(c_20797,plain,
~ ssList(cons('#skF_52',nil)),
inference(splitLeft,[status(thm)],[c_20775]) ).
tff(c_20801,plain,
( ~ ssItem('#skF_52')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_20797]) ).
tff(c_20805,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_445,c_20801]) ).
tff(c_20807,plain,
ssList(cons('#skF_52',nil)),
inference(splitRight,[status(thm)],[c_20775]) ).
tff(c_36281,plain,
! [W_2226,V_2227,X_2228] :
( segmentP(app(app(W_2226,V_2227),X_2228),V_2227)
| ~ ssList(X_2228)
| ~ ssList(W_2226)
| ~ ssList(V_2227)
| ~ ssList(app(app(W_2226,V_2227),X_2228)) ),
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_36571,plain,
! [X_2228] :
( segmentP(app('#skF_51',X_2228),'#skF_53')
| ~ ssList(X_2228)
| ~ ssList(cons('#skF_52',nil))
| ~ ssList('#skF_53')
| ~ ssList(app(app(cons('#skF_52',nil),'#skF_53'),X_2228)) ),
inference(superposition,[status(thm),theory(equality)],[c_465,c_36281]) ).
tff(c_36871,plain,
! [X_2230] :
( segmentP(app('#skF_51',X_2230),'#skF_53')
| ~ ssList(X_2230)
| ~ ssList(app('#skF_51',X_2230)) ),
inference(demodulation,[status(thm),theory(equality)],[c_465,c_453,c_20807,c_36571]) ).
tff(c_36888,plain,
( segmentP('#skF_51','#skF_53')
| ~ ssList(nil)
| ~ ssList(app('#skF_51',nil)) ),
inference(superposition,[status(thm),theory(equality)],[c_489,c_36871]) ).
tff(c_36900,plain,
segmentP('#skF_51','#skF_53'),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_489,c_168,c_36888]) ).
tff(c_605,plain,
! [X1_1194] :
( ~ segmentP('#skF_50',X1_1194)
| ~ segmentP('#skF_51',X1_1194)
| ~ neq(X1_1194,nil)
| ~ ssList(X1_1194) ),
inference(negUnitSimplification,[status(thm)],[c_432,c_421]) ).
tff(c_36907,plain,
( ~ segmentP('#skF_50','#skF_53')
| ~ neq('#skF_53',nil)
| ~ ssList('#skF_53') ),
inference(resolution,[status(thm)],[c_36900,c_605]) ).
tff(c_36917,plain,
( ~ segmentP('#skF_50','#skF_53')
| ~ neq('#skF_53',nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_453,c_36907]) ).
tff(c_36928,plain,
~ neq('#skF_53',nil),
inference(splitLeft,[status(thm)],[c_36917]) ).
tff(c_36931,plain,
( ( nil = '#skF_53' )
| ~ ssList(nil)
| ~ ssList('#skF_53') ),
inference(resolution,[status(thm)],[c_162,c_36928]) ).
tff(c_36937,plain,
nil = '#skF_53',
inference(demodulation,[status(thm),theory(equality)],[c_453,c_168,c_36931]) ).
tff(c_36939,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9279,c_36937]) ).
tff(c_36940,plain,
~ segmentP('#skF_50','#skF_53'),
inference(splitRight,[status(thm)],[c_36917]) ).
tff(c_529,plain,
app(nil,'#skF_50') = '#skF_50',
inference(resolution,[status(thm)],[c_392,c_513]) ).
tff(c_348,plain,
! [U_1070,V_1074,W_1076] :
( ( app(app(U_1070,V_1074),W_1076) = app(U_1070,app(V_1074,W_1076)) )
| ~ ssList(W_1076)
| ~ ssList(V_1074)
| ~ ssList(U_1070) ),
inference(cnfTransformation,[status(thm)],[f_844]) ).
tff(c_35186,plain,
! [W_2188,U_2189,X_2190,V_2191] :
( segmentP(app(app(W_2188,U_2189),X_2190),V_2191)
| ~ segmentP(U_2189,V_2191)
| ~ ssList(X_2190)
| ~ ssList(W_2188)
| ~ ssList(V_2191)
| ~ ssList(U_2189) ),
inference(cnfTransformation,[status(thm)],[f_682]) ).
tff(c_159206,plain,
! [U_3376,V_3377,W_3378,V_3379] :
( segmentP(app(U_3376,app(V_3377,W_3378)),V_3379)
| ~ segmentP(V_3377,V_3379)
| ~ ssList(W_3378)
| ~ ssList(U_3376)
| ~ ssList(V_3379)
| ~ ssList(V_3377)
| ~ ssList(W_3378)
| ~ ssList(V_3377)
| ~ ssList(U_3376) ),
inference(superposition,[status(thm),theory(equality)],[c_348,c_35186]) ).
tff(c_159727,plain,
! [U_3376,V_3379] :
( segmentP(app(U_3376,'#skF_50'),V_3379)
| ~ segmentP('#skF_53',V_3379)
| ~ ssList(cons('#skF_52',nil))
| ~ ssList(U_3376)
| ~ ssList(V_3379)
| ~ ssList('#skF_53')
| ~ ssList(cons('#skF_52',nil))
| ~ ssList('#skF_53')
| ~ ssList(U_3376) ),
inference(superposition,[status(thm),theory(equality)],[c_508,c_159206]) ).
tff(c_265317,plain,
! [U_4101,V_4102] :
( segmentP(app(U_4101,'#skF_50'),V_4102)
| ~ segmentP('#skF_53',V_4102)
| ~ ssList(V_4102)
| ~ ssList(U_4101) ),
inference(demodulation,[status(thm),theory(equality)],[c_453,c_20807,c_453,c_20807,c_159727]) ).
tff(c_265417,plain,
! [V_4102] :
( segmentP('#skF_50',V_4102)
| ~ segmentP('#skF_53',V_4102)
| ~ ssList(V_4102)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_529,c_265317]) ).
tff(c_265464,plain,
! [V_4103] :
( segmentP('#skF_50',V_4103)
| ~ segmentP('#skF_53',V_4103)
| ~ ssList(V_4103) ),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_265417]) ).
tff(c_265479,plain,
( segmentP('#skF_50','#skF_53')
| ~ ssList('#skF_53') ),
inference(resolution,[status(thm)],[c_270,c_265464]) ).
tff(c_265492,plain,
segmentP('#skF_50','#skF_53'),
inference(demodulation,[status(thm),theory(equality)],[c_453,c_265479]) ).
tff(c_265494,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36940,c_265492]) ).
tff(c_265495,plain,
nil = '#skF_50',
inference(splitRight,[status(thm)],[c_384]) ).
tff(c_265496,plain,
nil = '#skF_51',
inference(splitRight,[status(thm)],[c_384]) ).
tff(c_265511,plain,
'#skF_51' = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_265495,c_265496]) ).
tff(c_265523,plain,
( ssList('#skF_53')
| ~ neq('#skF_50','#skF_50') ),
inference(demodulation,[status(thm),theory(equality)],[c_265511,c_265495,c_410]) ).
tff(c_265524,plain,
~ neq('#skF_50','#skF_50'),
inference(splitLeft,[status(thm)],[c_265523]) ).
tff(c_402,plain,
( ( nil != '#skF_48' )
| neq('#skF_49',nil) ),
inference(cnfTransformation,[status(thm)],[f_1032]) ).
tff(c_414,plain,
( ( nil != '#skF_48' )
| neq('#skF_51',nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_402]) ).
tff(c_420,plain,
( ( nil != '#skF_50' )
| neq('#skF_51',nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_414]) ).
tff(c_265540,plain,
neq('#skF_50','#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_265511,c_265495,c_265495,c_420]) ).
tff(c_265541,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_265524,c_265540]) ).
tff(c_265543,plain,
neq('#skF_50','#skF_50'),
inference(splitRight,[status(thm)],[c_265523]) ).
tff(c_265571,plain,
! [V_4119] :
( ~ neq(V_4119,V_4119)
| ~ ssList(V_4119) ),
inference(cnfTransformation,[status(thm)],[f_311]) ).
tff(c_265574,plain,
~ ssList('#skF_50'),
inference(resolution,[status(thm)],[c_265543,c_265571]) ).
tff(c_265578,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_392,c_265574]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWC061+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.15 % 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 : n020.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 21:39:37 EDT 2023
% 0.14/0.36 % CPUTime :
% 249.84/218.71 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 249.84/218.74
% 249.84/218.74 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 250.18/218.82
% 250.18/218.82 Inference rules
% 250.18/218.82 ----------------------
% 250.18/218.82 #Ref : 22
% 250.18/218.82 #Sup : 57859
% 250.18/218.82 #Fact : 0
% 250.18/218.82 #Define : 0
% 250.18/218.82 #Split : 219
% 250.18/218.82 #Chain : 0
% 250.18/218.82 #Close : 0
% 250.18/218.82
% 250.18/218.82 Ordering : KBO
% 250.18/218.82
% 250.18/218.82 Simplification rules
% 250.18/218.82 ----------------------
% 250.18/218.82 #Subsume : 10171
% 250.18/218.82 #Demod : 79803
% 250.18/218.82 #Tautology : 9230
% 250.18/218.82 #SimpNegUnit : 7981
% 250.18/218.82 #BackRed : 461
% 250.18/218.82
% 250.18/218.82 #Partial instantiations: 0
% 250.18/218.82 #Strategies tried : 1
% 250.18/218.82
% 250.18/218.82 Timing (in seconds)
% 250.18/218.82 ----------------------
% 250.18/218.82 Preprocessing : 0.87
% 250.18/218.82 Parsing : 0.40
% 250.18/218.82 CNF conversion : 0.11
% 250.18/218.82 Main loop : 216.78
% 250.18/218.82 Inferencing : 20.20
% 250.18/218.82 Reduction : 118.69
% 250.18/218.82 Demodulation : 88.12
% 250.18/218.83 BG Simplification : 0.52
% 250.18/218.83 Subsumption : 59.61
% 250.18/218.83 Abstraction : 1.00
% 250.18/218.83 MUC search : 0.00
% 250.18/218.83 Cooper : 0.00
% 250.18/218.83 Total : 217.77
% 250.18/218.83 Index Insertion : 0.00
% 250.18/218.83 Index Deletion : 0.00
% 250.18/218.83 Index Matching : 0.00
% 250.18/218.83 BG Taut test : 0.00
%------------------------------------------------------------------------------