TSTP Solution File: SWC112+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC112+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 : n026.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 11:01:13 EDT 2023
% Result : Theorem 276.77s 246.69s
% Output : CNFRefutation 276.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 87
% Syntax : Number of formulae : 185 ( 55 unt; 77 typ; 0 def)
% Number of atoms : 239 ( 93 equ)
% Maximal formula atoms : 31 ( 2 avg)
% Number of connectives : 233 ( 102 ~; 90 |; 17 &)
% ( 2 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 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 : 58 ( 58 usr; 9 con; 0-2 aty)
% Number of variables : 62 (; 53 !; 9 ?; 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_1059,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( ( V != X )
| ( U != W )
| ! [Y] :
( ssList(Y)
=> ! [Z] :
( ssList(Z)
=> ( ( app(app(Y,W),Z) != X )
| ~ strictorderedP(W)
| ? [X1] :
( ssItem(X1)
& ? [X2] :
( ssList(X2)
& ( app(X2,cons(X1,nil)) = Y )
& ? [X3] :
( ssItem(X3)
& ? [X4] :
( ssList(X4)
& ( app(cons(X3,nil),X4) = W )
& lt(X1,X3) ) ) ) )
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& ( app(cons(X5,nil),X6) = Z )
& ? [X7] :
( ssItem(X7)
& ? [X8] :
( ssList(X8)
& ( app(X8,cons(X7,nil)) = W )
& lt(X7,X5) ) ) ) ) ) ) )
| ( ( nil != X )
& ( nil = W ) )
| ( ( ( nil != V )
| ( nil = U ) )
& ( ~ neq(V,nil)
| ( neq(U,nil)
& segmentP(V,U) ) ) ) ) ) ) ) ),
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_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(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_413,axiom,
! [U] :
( ssList(U)
=> ( app(nil,U) = U ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).
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_399,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ssList(app(U,V)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).
tff(f_855,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( ( nil = app(U,V) )
<=> ( ( nil = V )
& ( nil = U ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax83) ).
tff(c_404,plain,
ssList('#skF_50'),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_402,plain,
ssList('#skF_51'),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_270,plain,
! [U_1014] :
( segmentP(U_1014,U_1014)
| ~ ssList(U_1014) ),
inference(cnfTransformation,[status(thm)],[f_667]) ).
tff(c_396,plain,
ssList('#skF_52'),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_394,plain,
ssList('#skF_53'),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_392,plain,
app(app('#skF_52','#skF_50'),'#skF_53') = '#skF_51',
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_361682,plain,
! [W_8474,U_8475,X_8476,V_8477] :
( segmentP(app(app(W_8474,U_8475),X_8476),V_8477)
| ~ segmentP(U_8475,V_8477)
| ~ ssList(X_8476)
| ~ ssList(W_8474)
| ~ ssList(V_8477)
| ~ ssList(U_8475) ),
inference(cnfTransformation,[status(thm)],[f_682]) ).
tff(c_361963,plain,
! [V_8477] :
( segmentP('#skF_51',V_8477)
| ~ segmentP('#skF_50',V_8477)
| ~ ssList('#skF_53')
| ~ ssList('#skF_52')
| ~ ssList(V_8477)
| ~ ssList('#skF_50') ),
inference(superposition,[status(thm),theory(equality)],[c_392,c_361682]) ).
tff(c_362128,plain,
! [V_8478] :
( segmentP('#skF_51',V_8478)
| ~ segmentP('#skF_50',V_8478)
| ~ ssList(V_8478) ),
inference(demodulation,[status(thm),theory(equality)],[c_404,c_396,c_394,c_361963]) ).
tff(c_384,plain,
( ( nil != '#skF_50' )
| ( nil = '#skF_51' ) ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_436,plain,
nil != '#skF_50',
inference(splitLeft,[status(thm)],[c_384]) ).
tff(c_168,plain,
ssList(nil),
inference(cnfTransformation,[status(thm)],[f_319]) ).
tff(c_4679,plain,
! [U_3314,V_3315] :
( neq(U_3314,V_3315)
| ( V_3315 = U_3314 )
| ~ ssList(V_3315)
| ~ ssList(U_3314) ),
inference(cnfTransformation,[status(thm)],[f_311]) ).
tff(c_398,plain,
'#skF_48' = '#skF_50',
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_400,plain,
'#skF_49' = '#skF_51',
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_412,plain,
( ( nil = '#skF_49' )
| ~ segmentP('#skF_49','#skF_48')
| ~ neq('#skF_48',nil) ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_420,plain,
( ( nil = '#skF_51' )
| ~ segmentP('#skF_51','#skF_48')
| ~ neq('#skF_48',nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_400,c_412]) ).
tff(c_425,plain,
( ( nil = '#skF_51' )
| ~ segmentP('#skF_51','#skF_50')
| ~ neq('#skF_50',nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_398,c_398,c_420]) ).
tff(c_618,plain,
~ neq('#skF_50',nil),
inference(splitLeft,[status(thm)],[c_425]) ).
tff(c_4682,plain,
( ( nil = '#skF_50' )
| ~ ssList(nil)
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_4679,c_618]) ).
tff(c_4693,plain,
nil = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_404,c_168,c_4682]) ).
tff(c_4695,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_436,c_4693]) ).
tff(c_4696,plain,
( ~ segmentP('#skF_51','#skF_50')
| ( nil = '#skF_51' ) ),
inference(splitRight,[status(thm)],[c_425]) ).
tff(c_4698,plain,
~ segmentP('#skF_51','#skF_50'),
inference(splitLeft,[status(thm)],[c_4696]) ).
tff(c_362135,plain,
( ~ segmentP('#skF_50','#skF_50')
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_362128,c_4698]) ).
tff(c_362144,plain,
~ segmentP('#skF_50','#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_404,c_362135]) ).
tff(c_362147,plain,
~ ssList('#skF_50'),
inference(resolution,[status(thm)],[c_270,c_362144]) ).
tff(c_362151,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_404,c_362147]) ).
tff(c_362152,plain,
nil = '#skF_51',
inference(splitRight,[status(thm)],[c_4696]) ).
tff(c_416,plain,
( ( nil = '#skF_49' )
| neq('#skF_49',nil) ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_418,plain,
( ( nil = '#skF_51' )
| neq('#skF_51',nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_400,c_416]) ).
tff(c_442,plain,
neq('#skF_51',nil),
inference(splitLeft,[status(thm)],[c_418]) ).
tff(c_362179,plain,
neq('#skF_51','#skF_51'),
inference(demodulation,[status(thm),theory(equality)],[c_362152,c_442]) ).
tff(c_164,plain,
! [V_858] :
( ~ neq(V_858,V_858)
| ~ ssList(V_858) ),
inference(cnfTransformation,[status(thm)],[f_311]) ).
tff(c_362200,plain,
~ ssList('#skF_51'),
inference(resolution,[status(thm)],[c_362179,c_164]) ).
tff(c_362207,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_402,c_362200]) ).
tff(c_362208,plain,
nil = '#skF_51',
inference(splitRight,[status(thm)],[c_418]) ).
tff(c_362211,plain,
'#skF_51' != '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_362208,c_436]) ).
tff(c_356,plain,
! [U_1080] :
( ( app(U_1080,nil) = U_1080 )
| ~ ssList(U_1080) ),
inference(cnfTransformation,[status(thm)],[f_859]) ).
tff(c_362253,plain,
! [U_8502] :
( ( app(U_8502,'#skF_51') = U_8502 )
| ~ ssList(U_8502) ),
inference(demodulation,[status(thm),theory(equality)],[c_362208,c_356]) ).
tff(c_362268,plain,
app('#skF_50','#skF_51') = '#skF_50',
inference(resolution,[status(thm)],[c_404,c_362253]) ).
tff(c_196,plain,
! [U_906] :
( ( app(nil,U_906) = U_906 )
| ~ ssList(U_906) ),
inference(cnfTransformation,[status(thm)],[f_413]) ).
tff(c_362297,plain,
! [U_8511] :
( ( app('#skF_51',U_8511) = U_8511 )
| ~ ssList(U_8511) ),
inference(demodulation,[status(thm),theory(equality)],[c_362208,c_196]) ).
tff(c_362312,plain,
app('#skF_51','#skF_50') = '#skF_50',
inference(resolution,[status(thm)],[c_404,c_362297]) ).
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_362615,plain,
! [U_8556] :
( ( hd(U_8556) = '#skF_46'(U_8556) )
| ( U_8556 = '#skF_51' )
| ~ ssList(U_8556) ),
inference(demodulation,[status(thm),theory(equality)],[c_362208,c_330]) ).
tff(c_362721,plain,
( ( hd('#skF_52') = '#skF_46'('#skF_52') )
| ( '#skF_52' = '#skF_51' ) ),
inference(resolution,[status(thm)],[c_396,c_362615]) ).
tff(c_362750,plain,
'#skF_52' = '#skF_51',
inference(splitLeft,[status(thm)],[c_362721]) ).
tff(c_362720,plain,
( ( hd('#skF_53') = '#skF_46'('#skF_53') )
| ( '#skF_53' = '#skF_51' ) ),
inference(resolution,[status(thm)],[c_394,c_362615]) ).
tff(c_362727,plain,
'#skF_53' = '#skF_51',
inference(splitLeft,[status(thm)],[c_362720]) ).
tff(c_362731,plain,
app(app('#skF_52','#skF_50'),'#skF_51') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_362727,c_392]) ).
tff(c_362893,plain,
'#skF_51' = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_362268,c_362312,c_362750,c_362731]) ).
tff(c_362894,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_362211,c_362893]) ).
tff(c_362896,plain,
'#skF_52' != '#skF_51',
inference(splitRight,[status(thm)],[c_362721]) ).
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_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_364427,plain,
! [U_8616,V_8617] :
( ( U_8616 = '#skF_51' )
| ( app(U_8616,V_8617) != '#skF_51' )
| ~ ssList(V_8617)
| ~ ssList(U_8616) ),
inference(demodulation,[status(thm),theory(equality)],[c_362208,c_362208,c_352]) ).
tff(c_364429,plain,
( ( app('#skF_52','#skF_50') = '#skF_51' )
| ~ ssList('#skF_51')
| ~ ssList(app('#skF_52','#skF_50')) ),
inference(superposition,[status(thm),theory(equality)],[c_362731,c_364427]) ).
tff(c_364442,plain,
( ( app('#skF_52','#skF_50') = '#skF_51' )
| ~ ssList(app('#skF_52','#skF_50')) ),
inference(demodulation,[status(thm),theory(equality)],[c_402,c_364429]) ).
tff(c_364459,plain,
~ ssList(app('#skF_52','#skF_50')),
inference(splitLeft,[status(thm)],[c_364442]) ).
tff(c_364475,plain,
( ~ ssList('#skF_50')
| ~ ssList('#skF_52') ),
inference(resolution,[status(thm)],[c_192,c_364459]) ).
tff(c_364479,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_396,c_404,c_364475]) ).
tff(c_364480,plain,
app('#skF_52','#skF_50') = '#skF_51',
inference(splitRight,[status(thm)],[c_364442]) ).
tff(c_364426,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_362208,c_362208,c_352]) ).
tff(c_364529,plain,
( ( '#skF_52' = '#skF_51' )
| ~ ssList('#skF_50')
| ~ ssList('#skF_52') ),
inference(superposition,[status(thm),theory(equality)],[c_364480,c_364426]) ).
tff(c_364539,plain,
'#skF_52' = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_396,c_404,c_364529]) ).
tff(c_364541,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_362896,c_364539]) ).
tff(c_364543,plain,
'#skF_53' != '#skF_51',
inference(splitRight,[status(thm)],[c_362720]) ).
tff(c_364544,plain,
'#skF_52' = '#skF_51',
inference(splitLeft,[status(thm)],[c_362721]) ).
tff(c_364548,plain,
app(app('#skF_51','#skF_50'),'#skF_53') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_364544,c_392]) ).
tff(c_364552,plain,
app('#skF_50','#skF_53') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_362312,c_364548]) ).
tff(c_354,plain,
! [V_1079,U_1077] :
( ( nil = V_1079 )
| ( app(U_1077,V_1079) != nil )
| ~ ssList(V_1079)
| ~ ssList(U_1077) ),
inference(cnfTransformation,[status(thm)],[f_855]) ).
tff(c_365677,plain,
! [V_8673,U_8674] :
( ( V_8673 = '#skF_51' )
| ( app(U_8674,V_8673) != '#skF_51' )
| ~ ssList(V_8673)
| ~ ssList(U_8674) ),
inference(demodulation,[status(thm),theory(equality)],[c_362208,c_362208,c_354]) ).
tff(c_365683,plain,
( ( '#skF_53' = '#skF_51' )
| ~ ssList('#skF_53')
| ~ ssList('#skF_50') ),
inference(superposition,[status(thm),theory(equality)],[c_364552,c_365677]) ).
tff(c_365701,plain,
'#skF_53' = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_404,c_394,c_365683]) ).
tff(c_365703,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_364543,c_365701]) ).
tff(c_365705,plain,
'#skF_52' != '#skF_51',
inference(splitRight,[status(thm)],[c_362721]) ).
tff(c_367109,plain,
! [U_8735,V_8736] :
( ( U_8735 = '#skF_51' )
| ( app(U_8735,V_8736) != '#skF_51' )
| ~ ssList(V_8736)
| ~ ssList(U_8735) ),
inference(demodulation,[status(thm),theory(equality)],[c_362208,c_362208,c_352]) ).
tff(c_367133,plain,
( ( app('#skF_52','#skF_50') = '#skF_51' )
| ~ ssList('#skF_53')
| ~ ssList(app('#skF_52','#skF_50')) ),
inference(superposition,[status(thm),theory(equality)],[c_392,c_367109]) ).
tff(c_367165,plain,
( ( app('#skF_52','#skF_50') = '#skF_51' )
| ~ ssList(app('#skF_52','#skF_50')) ),
inference(demodulation,[status(thm),theory(equality)],[c_394,c_367133]) ).
tff(c_367199,plain,
~ ssList(app('#skF_52','#skF_50')),
inference(splitLeft,[status(thm)],[c_367165]) ).
tff(c_367202,plain,
( ~ ssList('#skF_50')
| ~ ssList('#skF_52') ),
inference(resolution,[status(thm)],[c_192,c_367199]) ).
tff(c_367206,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_396,c_404,c_367202]) ).
tff(c_367207,plain,
app('#skF_52','#skF_50') = '#skF_51',
inference(splitRight,[status(thm)],[c_367165]) ).
tff(c_367108,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_362208,c_362208,c_352]) ).
tff(c_367250,plain,
( ( '#skF_52' = '#skF_51' )
| ~ ssList('#skF_50')
| ~ ssList('#skF_52') ),
inference(superposition,[status(thm),theory(equality)],[c_367207,c_367108]) ).
tff(c_367258,plain,
'#skF_52' = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_396,c_404,c_367250]) ).
tff(c_367260,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_365705,c_367258]) ).
tff(c_367262,plain,
nil = '#skF_50',
inference(splitRight,[status(thm)],[c_384]) ).
tff(c_367261,plain,
nil = '#skF_51',
inference(splitRight,[status(thm)],[c_384]) ).
tff(c_367277,plain,
'#skF_51' = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_367262,c_367261]) ).
tff(c_414,plain,
( ( nil != '#skF_48' )
| neq('#skF_49',nil) ),
inference(cnfTransformation,[status(thm)],[f_1059]) ).
tff(c_419,plain,
( ( nil != '#skF_48' )
| neq('#skF_51',nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_414]) ).
tff(c_424,plain,
( ( nil != '#skF_50' )
| neq('#skF_51',nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_398,c_419]) ).
tff(c_367311,plain,
neq('#skF_50','#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_367277,c_367262,c_367262,c_424]) ).
tff(c_367323,plain,
! [V_8749] :
( ~ neq(V_8749,V_8749)
| ~ ssList(V_8749) ),
inference(cnfTransformation,[status(thm)],[f_311]) ).
tff(c_367326,plain,
~ ssList('#skF_50'),
inference(resolution,[status(thm)],[c_367311,c_367323]) ).
tff(c_367330,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_404,c_367326]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC112+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
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 21:55:02 EDT 2023
% 0.14/0.35 % CPUTime :
% 276.77/246.69 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 276.77/246.70
% 276.77/246.70 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 276.77/246.74
% 276.77/246.74 Inference rules
% 276.77/246.74 ----------------------
% 276.77/246.74 #Ref : 32
% 276.77/246.74 #Sup : 80488
% 276.77/246.74 #Fact : 0
% 276.77/246.74 #Define : 0
% 276.77/246.74 #Split : 517
% 276.77/246.74 #Chain : 0
% 276.77/246.74 #Close : 0
% 276.77/246.74
% 276.77/246.74 Ordering : KBO
% 276.77/246.74
% 276.77/246.74 Simplification rules
% 276.77/246.74 ----------------------
% 276.77/246.74 #Subsume : 16698
% 276.77/246.74 #Demod : 104418
% 276.77/246.74 #Tautology : 10644
% 276.77/246.74 #SimpNegUnit : 7193
% 276.77/246.74 #BackRed : 1126
% 276.77/246.74
% 276.77/246.74 #Partial instantiations: 0
% 276.77/246.75 #Strategies tried : 1
% 276.77/246.75
% 276.77/246.75 Timing (in seconds)
% 276.77/246.75 ----------------------
% 276.77/246.75 Preprocessing : 0.96
% 276.77/246.75 Parsing : 0.44
% 276.77/246.75 CNF conversion : 0.15
% 276.77/246.75 Main loop : 244.70
% 276.77/246.75 Inferencing : 28.49
% 276.77/246.75 Reduction : 123.23
% 276.77/246.75 Demodulation : 89.28
% 276.77/246.75 BG Simplification : 0.72
% 276.77/246.75 Subsumption : 69.99
% 276.77/246.75 Abstraction : 1.36
% 276.77/246.75 MUC search : 0.00
% 276.77/246.75 Cooper : 0.00
% 276.77/246.75 Total : 245.73
% 276.77/246.75 Index Insertion : 0.00
% 276.77/246.75 Index Deletion : 0.00
% 276.77/246.75 Index Matching : 0.00
% 276.77/246.75 BG Taut test : 0.00
%------------------------------------------------------------------------------