TSTP Solution File: SWC075+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC075+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n009.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 11:01:03 EDT 2023
% Result : Theorem 31.42s 17.28s
% Output : CNFRefutation 31.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 88
% Syntax : Number of formulae : 176 ( 51 unt; 77 typ; 0 def)
% Number of atoms : 219 ( 80 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 219 ( 99 ~; 86 |; 9 &)
% ( 3 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 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 (; 57 !; 5 ?; 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_1021,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ~ ssList(X)
| ( V != X )
| ( U != W )
| ? [Y] :
( ssList(Y)
& neq(Y,nil)
& segmentP(V,Y)
& segmentP(U,Y) )
| ! [Z] :
( ssList(Z)
=> ! [X1] :
( ~ ssList(X1)
| ( app(Z,X1) != X )
| ( app(X1,Z) != W ) ) )
| ( ( nil = V )
& ( nil = U ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f_667,axiom,
! [U] :
( ssList(U)
=> segmentP(U,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax55) ).
tff(f_769,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ? [V] :
( ssItem(V)
& ( hd(U) = V ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax75) ).
tff(f_859,axiom,
! [U] :
( ssList(U)
=> ( app(U,nil) = U ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax84) ).
tff(f_413,axiom,
! [U] :
( ssList(U)
=> ( app(nil,U) = U ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).
tff(f_319,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
tff(f_311,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( neq(U,V)
<=> ( U != V ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).
tff(f_682,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( segmentP(U,V)
=> segmentP(app(app(W,U),X),V) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax56) ).
tff(f_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/sandbox/benchmark/Axioms/SWC001+0.ax',ax7) ).
tff(f_779,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ? [V] :
( ssList(V)
& ( tl(U) = V ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax76) ).
tff(f_855,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( ( nil = app(U,V) )
<=> ( ( nil = V )
& ( nil = U ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax83) ).
tff(c_402,plain,
ssList('#skF_50'),
inference(cnfTransformation,[status(thm)],[f_1021]) ).
tff(c_270,plain,
! [U_1014] :
( segmentP(U_1014,U_1014)
| ~ ssList(U_1014) ),
inference(cnfTransformation,[status(thm)],[f_667]) ).
tff(c_386,plain,
app('#skF_53','#skF_52') = '#skF_50',
inference(cnfTransformation,[status(thm)],[f_1021]) ).
tff(c_392,plain,
ssList('#skF_52'),
inference(cnfTransformation,[status(thm)],[f_1021]) ).
tff(c_5372,plain,
! [U_1455] :
( ( hd(U_1455) = '#skF_46'(U_1455) )
| ( nil = U_1455 )
| ~ ssList(U_1455) ),
inference(cnfTransformation,[status(thm)],[f_769]) ).
tff(c_5480,plain,
( ( hd('#skF_52') = '#skF_46'('#skF_52') )
| ( nil = '#skF_52' ) ),
inference(resolution,[status(thm)],[c_392,c_5372]) ).
tff(c_5498,plain,
nil = '#skF_52',
inference(splitLeft,[status(thm)],[c_5480]) ).
tff(c_390,plain,
ssList('#skF_53'),
inference(cnfTransformation,[status(thm)],[f_1021]) ).
tff(c_5057,plain,
! [U_1409] :
( ( app(U_1409,nil) = U_1409 )
| ~ ssList(U_1409) ),
inference(cnfTransformation,[status(thm)],[f_859]) ).
tff(c_5076,plain,
app('#skF_53',nil) = '#skF_53',
inference(resolution,[status(thm)],[c_390,c_5057]) ).
tff(c_5580,plain,
app('#skF_53','#skF_52') = '#skF_53',
inference(demodulation,[status(thm),theory(equality)],[c_5498,c_5076]) ).
tff(c_5612,plain,
'#skF_53' = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_386,c_5580]) ).
tff(c_388,plain,
app('#skF_52','#skF_53') = '#skF_51',
inference(cnfTransformation,[status(thm)],[f_1021]) ).
tff(c_5014,plain,
! [U_1406] :
( ( app(nil,U_1406) = U_1406 )
| ~ ssList(U_1406) ),
inference(cnfTransformation,[status(thm)],[f_413]) ).
tff(c_5032,plain,
app(nil,'#skF_53') = '#skF_53',
inference(resolution,[status(thm)],[c_390,c_5014]) ).
tff(c_5584,plain,
app('#skF_52','#skF_53') = '#skF_53',
inference(demodulation,[status(thm),theory(equality)],[c_5498,c_5032]) ).
tff(c_5613,plain,
'#skF_53' = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_388,c_5584]) ).
tff(c_5636,plain,
'#skF_51' = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_5612,c_5613]) ).
tff(c_398,plain,
'#skF_49' = '#skF_51',
inference(cnfTransformation,[status(thm)],[f_1021]) ).
tff(c_396,plain,
'#skF_48' = '#skF_50',
inference(cnfTransformation,[status(thm)],[f_1021]) ).
tff(c_384,plain,
( ( nil != '#skF_48' )
| ( nil != '#skF_49' ) ),
inference(cnfTransformation,[status(thm)],[f_1021]) ).
tff(c_412,plain,
( ( nil != '#skF_50' )
| ( nil != '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_398,c_396,c_384]) ).
tff(c_421,plain,
nil != '#skF_51',
inference(splitLeft,[status(thm)],[c_412]) ).
tff(c_400,plain,
ssList('#skF_51'),
inference(cnfTransformation,[status(thm)],[f_1021]) ).
tff(c_168,plain,
ssList(nil),
inference(cnfTransformation,[status(thm)],[f_319]) ).
tff(c_4987,plain,
! [U_1404,V_1405] :
( neq(U_1404,V_1405)
| ( V_1405 = U_1404 )
| ~ ssList(V_1405)
| ~ ssList(U_1404) ),
inference(cnfTransformation,[status(thm)],[f_311]) ).
tff(c_447,plain,
! [U_1205] :
( segmentP(U_1205,U_1205)
| ~ ssList(U_1205) ),
inference(cnfTransformation,[status(thm)],[f_667]) ).
tff(c_394,plain,
! [Y_1193] :
( ~ segmentP('#skF_48',Y_1193)
| ~ segmentP('#skF_49',Y_1193)
| ~ neq(Y_1193,nil)
| ~ ssList(Y_1193) ),
inference(cnfTransformation,[status(thm)],[f_1021]) ).
tff(c_411,plain,
! [Y_1193] :
( ~ segmentP('#skF_50',Y_1193)
| ~ segmentP('#skF_51',Y_1193)
| ~ neq(Y_1193,nil)
| ~ ssList(Y_1193) ),
inference(demodulation,[status(thm),theory(equality)],[c_398,c_396,c_394]) ).
tff(c_451,plain,
( ~ segmentP('#skF_50','#skF_51')
| ~ neq('#skF_51',nil)
| ~ ssList('#skF_51') ),
inference(resolution,[status(thm)],[c_447,c_411]) ).
tff(c_454,plain,
( ~ segmentP('#skF_50','#skF_51')
| ~ neq('#skF_51',nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_451]) ).
tff(c_461,plain,
~ neq('#skF_51',nil),
inference(splitLeft,[status(thm)],[c_454]) ).
tff(c_4993,plain,
( ( nil = '#skF_51' )
| ~ ssList(nil)
| ~ ssList('#skF_51') ),
inference(resolution,[status(thm)],[c_4987,c_461]) ).
tff(c_5008,plain,
nil = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_400,c_168,c_4993]) ).
tff(c_5010,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_421,c_5008]) ).
tff(c_5011,plain,
~ segmentP('#skF_50','#skF_51'),
inference(splitRight,[status(thm)],[c_454]) ).
tff(c_5640,plain,
~ segmentP('#skF_50','#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_5636,c_5011]) ).
tff(c_5759,plain,
~ ssList('#skF_50'),
inference(resolution,[status(thm)],[c_270,c_5640]) ).
tff(c_5763,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_402,c_5759]) ).
tff(c_5765,plain,
nil != '#skF_52',
inference(splitRight,[status(thm)],[c_5480]) ).
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_5078,plain,
app('#skF_50',nil) = '#skF_50',
inference(resolution,[status(thm)],[c_402,c_5057]) ).
tff(c_47252,plain,
! [W_2334,U_2335,X_2336,V_2337] :
( segmentP(app(app(W_2334,U_2335),X_2336),V_2337)
| ~ segmentP(U_2335,V_2337)
| ~ ssList(X_2336)
| ~ ssList(W_2334)
| ~ ssList(V_2337)
| ~ ssList(U_2335) ),
inference(cnfTransformation,[status(thm)],[f_682]) ).
tff(c_47530,plain,
! [X_2336,V_2337] :
( segmentP(app('#skF_50',X_2336),V_2337)
| ~ segmentP('#skF_52',V_2337)
| ~ ssList(X_2336)
| ~ ssList('#skF_53')
| ~ ssList(V_2337)
| ~ ssList('#skF_52') ),
inference(superposition,[status(thm),theory(equality)],[c_386,c_47252]) ).
tff(c_47848,plain,
! [X_2342,V_2343] :
( segmentP(app('#skF_50',X_2342),V_2343)
| ~ segmentP('#skF_52',V_2343)
| ~ ssList(X_2342)
| ~ ssList(V_2343) ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_390,c_47530]) ).
tff(c_47859,plain,
! [V_2343] :
( segmentP('#skF_50',V_2343)
| ~ segmentP('#skF_52',V_2343)
| ~ ssList(nil)
| ~ ssList(V_2343) ),
inference(superposition,[status(thm),theory(equality)],[c_5078,c_47848]) ).
tff(c_47866,plain,
! [V_2344] :
( segmentP('#skF_50',V_2344)
| ~ segmentP('#skF_52',V_2344)
| ~ ssList(V_2344) ),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_47859]) ).
tff(c_47870,plain,
( segmentP('#skF_50','#skF_52')
| ~ ssList('#skF_52') ),
inference(resolution,[status(thm)],[c_270,c_47866]) ).
tff(c_47877,plain,
segmentP('#skF_50','#skF_52'),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_47870]) ).
tff(c_5030,plain,
app(nil,'#skF_52') = '#skF_52',
inference(resolution,[status(thm)],[c_392,c_5014]) ).
tff(c_48278,plain,
! [W_2346,V_2347,X_2348] :
( segmentP(app(app(W_2346,V_2347),X_2348),V_2347)
| ~ ssList(X_2348)
| ~ ssList(W_2346)
| ~ ssList(V_2347)
| ~ ssList(app(app(W_2346,V_2347),X_2348)) ),
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_48565,plain,
! [X_2348] :
( segmentP(app('#skF_52',X_2348),'#skF_52')
| ~ ssList(X_2348)
| ~ ssList(nil)
| ~ ssList('#skF_52')
| ~ ssList(app(app(nil,'#skF_52'),X_2348)) ),
inference(superposition,[status(thm),theory(equality)],[c_5030,c_48278]) ).
tff(c_66072,plain,
! [X_2666] :
( segmentP(app('#skF_52',X_2666),'#skF_52')
| ~ ssList(X_2666)
| ~ ssList(app('#skF_52',X_2666)) ),
inference(demodulation,[status(thm),theory(equality)],[c_5030,c_392,c_168,c_48565]) ).
tff(c_66098,plain,
( segmentP('#skF_51','#skF_52')
| ~ ssList('#skF_53')
| ~ ssList(app('#skF_52','#skF_53')) ),
inference(superposition,[status(thm),theory(equality)],[c_388,c_66072]) ).
tff(c_66114,plain,
segmentP('#skF_51','#skF_52'),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_388,c_390,c_66098]) ).
tff(c_66138,plain,
( ~ segmentP('#skF_50','#skF_52')
| ~ neq('#skF_52',nil)
| ~ ssList('#skF_52') ),
inference(resolution,[status(thm)],[c_66114,c_411]) ).
tff(c_66148,plain,
~ neq('#skF_52',nil),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_47877,c_66138]) ).
tff(c_66154,plain,
( ( nil = '#skF_52' )
| ~ ssList(nil)
| ~ ssList('#skF_52') ),
inference(resolution,[status(thm)],[c_162,c_66148]) ).
tff(c_66160,plain,
nil = '#skF_52',
inference(demodulation,[status(thm),theory(equality)],[c_392,c_168,c_66154]) ).
tff(c_66162,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5765,c_66160]) ).
tff(c_66164,plain,
nil = '#skF_51',
inference(splitRight,[status(thm)],[c_412]) ).
tff(c_66163,plain,
nil != '#skF_50',
inference(splitRight,[status(thm)],[c_412]) ).
tff(c_66165,plain,
'#skF_51' != '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_66164,c_66163]) ).
tff(c_196,plain,
! [U_906] :
( ( app(nil,U_906) = U_906 )
| ~ ssList(U_906) ),
inference(cnfTransformation,[status(thm)],[f_413]) ).
tff(c_66230,plain,
! [U_2684] :
( ( app('#skF_51',U_2684) = U_2684 )
| ~ ssList(U_2684) ),
inference(demodulation,[status(thm),theory(equality)],[c_66164,c_196]) ).
tff(c_66245,plain,
app('#skF_51','#skF_51') = '#skF_51',
inference(resolution,[status(thm)],[c_400,c_66230]) ).
tff(c_334,plain,
! [U_1047] :
( ( tl(U_1047) = '#skF_47'(U_1047) )
| ( nil = U_1047 )
| ~ ssList(U_1047) ),
inference(cnfTransformation,[status(thm)],[f_779]) ).
tff(c_66586,plain,
! [U_2733] :
( ( tl(U_2733) = '#skF_47'(U_2733) )
| ( U_2733 = '#skF_51' )
| ~ ssList(U_2733) ),
inference(demodulation,[status(thm),theory(equality)],[c_66164,c_334]) ).
tff(c_66691,plain,
( ( tl('#skF_52') = '#skF_47'('#skF_52') )
| ( '#skF_52' = '#skF_51' ) ),
inference(resolution,[status(thm)],[c_392,c_66586]) ).
tff(c_66848,plain,
'#skF_52' = '#skF_51',
inference(splitLeft,[status(thm)],[c_66691]) ).
tff(c_66692,plain,
( ( tl('#skF_53') = '#skF_47'('#skF_53') )
| ( '#skF_53' = '#skF_51' ) ),
inference(resolution,[status(thm)],[c_390,c_66586]) ).
tff(c_66847,plain,
'#skF_53' = '#skF_51',
inference(splitLeft,[status(thm)],[c_66692]) ).
tff(c_66851,plain,
app('#skF_51','#skF_52') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_66847,c_386]) ).
tff(c_66871,plain,
'#skF_51' = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_66245,c_66848,c_66851]) ).
tff(c_66872,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66165,c_66871]) ).
tff(c_66874,plain,
'#skF_52' != '#skF_51',
inference(splitRight,[status(thm)],[c_66691]) ).
tff(c_66878,plain,
app('#skF_52','#skF_51') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_66847,c_388]) ).
tff(c_356,plain,
! [U_1080] :
( ( app(U_1080,nil) = U_1080 )
| ~ ssList(U_1080) ),
inference(cnfTransformation,[status(thm)],[f_859]) ).
tff(c_66268,plain,
! [U_2687] :
( ( app(U_2687,'#skF_51') = U_2687 )
| ~ ssList(U_2687) ),
inference(demodulation,[status(thm),theory(equality)],[c_66164,c_356]) ).
tff(c_66281,plain,
app('#skF_52','#skF_51') = '#skF_52',
inference(resolution,[status(thm)],[c_392,c_66268]) ).
tff(c_66955,plain,
'#skF_52' = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_66878,c_66281]) ).
tff(c_66957,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66874,c_66955]) ).
tff(c_66959,plain,
'#skF_53' != '#skF_51',
inference(splitRight,[status(thm)],[c_66692]) ).
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_68015,plain,
! [V_2777,U_2778] :
( ( V_2777 = '#skF_51' )
| ( app(U_2778,V_2777) != '#skF_51' )
| ~ ssList(V_2777)
| ~ ssList(U_2778) ),
inference(demodulation,[status(thm),theory(equality)],[c_66164,c_66164,c_354]) ).
tff(c_68037,plain,
( ( '#skF_53' = '#skF_51' )
| ~ ssList('#skF_53')
| ~ ssList('#skF_52') ),
inference(superposition,[status(thm),theory(equality)],[c_388,c_68015]) ).
tff(c_68067,plain,
'#skF_53' = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_392,c_390,c_68037]) ).
tff(c_68069,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66959,c_68067]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC075+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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Aug 3 21:14:08 EDT 2023
% 0.13/0.34 % CPUTime :
% 31.42/17.28 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.42/17.29
% 31.42/17.29 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 31.42/17.33
% 31.42/17.33 Inference rules
% 31.42/17.33 ----------------------
% 31.42/17.33 #Ref : 5
% 31.42/17.33 #Sup : 14892
% 31.42/17.33 #Fact : 0
% 31.42/17.33 #Define : 0
% 31.42/17.33 #Split : 294
% 31.42/17.33 #Chain : 0
% 31.42/17.33 #Close : 0
% 31.42/17.33
% 31.42/17.33 Ordering : KBO
% 31.42/17.33
% 31.42/17.33 Simplification rules
% 31.42/17.33 ----------------------
% 31.42/17.33 #Subsume : 1939
% 31.42/17.33 #Demod : 12897
% 31.42/17.33 #Tautology : 4512
% 31.42/17.33 #SimpNegUnit : 1582
% 31.42/17.33 #BackRed : 813
% 31.42/17.33
% 31.42/17.33 #Partial instantiations: 0
% 31.42/17.33 #Strategies tried : 1
% 31.42/17.33
% 31.42/17.33 Timing (in seconds)
% 31.42/17.33 ----------------------
% 31.42/17.33 Preprocessing : 0.87
% 31.42/17.34 Parsing : 0.41
% 31.42/17.34 CNF conversion : 0.11
% 31.42/17.34 Main loop : 15.39
% 31.42/17.34 Inferencing : 3.37
% 31.42/17.34 Reduction : 7.08
% 31.42/17.34 Demodulation : 5.06
% 31.42/17.34 BG Simplification : 0.17
% 31.42/17.34 Subsumption : 3.73
% 31.42/17.34 Abstraction : 0.20
% 31.42/17.34 MUC search : 0.00
% 31.42/17.34 Cooper : 0.00
% 31.42/17.34 Total : 16.33
% 31.42/17.34 Index Insertion : 0.00
% 31.42/17.34 Index Deletion : 0.00
% 31.42/17.34 Index Matching : 0.00
% 31.42/17.34 BG Taut test : 0.00
%------------------------------------------------------------------------------