TSTP Solution File: SWC346+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC346+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 11:02:13 EDT 2023
% Result : Theorem 67.86s 52.23s
% Output : CNFRefutation 68.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 84
% Syntax : Number of formulae : 133 ( 29 unt; 78 typ; 0 def)
% Number of atoms : 113 ( 26 equ)
% Maximal formula atoms : 21 ( 2 avg)
% Number of connectives : 101 ( 43 ~; 39 |; 6 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 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 : 59 ( 59 usr; 10 con; 0-2 aty)
% Number of variables : 28 (; 26 !; 2 ?; 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_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_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_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_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_1035,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ~ ssList(X)
| ( V != X )
| ( U != W )
| ( ! [Y] :
( ssItem(Y)
=> ! [Z] :
( ssList(Z)
=> ! [X1] :
( ~ ssList(X1)
| ( cons(Y,nil) != W )
| ( app(app(Z,W),X1) != X )
| ? [X2] :
( ssItem(X2)
& memberP(Z,X2)
& lt(Y,X2) )
| ? [X3] :
( ssItem(X3)
& memberP(X1,X3)
& lt(X3,Y) ) ) ) )
& ( ( nil != X )
| ( nil != W ) ) )
| ( segmentP(V,U)
& strictorderedP(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_686,axiom,
! [U] :
( ssList(U)
=> segmentP(U,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax57) ).
tff(f_733,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax69) ).
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_732,axiom,
! [U] :
( ssItem(U)
=> strictorderedP(cons(U,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax68) ).
tff(c_392,plain,
ssList('#skF_50'),
inference(cnfTransformation,[status(thm)],[f_1035]) ).
tff(c_270,plain,
! [U_1014] :
( segmentP(U_1014,U_1014)
| ~ ssList(U_1014) ),
inference(cnfTransformation,[status(thm)],[f_667]) ).
tff(c_390,plain,
ssList('#skF_51'),
inference(cnfTransformation,[status(thm)],[f_1035]) ).
tff(c_406,plain,
( ssList('#skF_54')
| ( nil = '#skF_50' ) ),
inference(cnfTransformation,[status(thm)],[f_1035]) ).
tff(c_438,plain,
nil = '#skF_50',
inference(splitLeft,[status(thm)],[c_406]) ).
tff(c_274,plain,
! [U_1030] :
( segmentP(U_1030,nil)
| ~ ssList(U_1030) ),
inference(cnfTransformation,[status(thm)],[f_686]) ).
tff(c_502,plain,
! [U_1502] :
( segmentP(U_1502,'#skF_50')
| ~ ssList(U_1502) ),
inference(demodulation,[status(thm),theory(equality)],[c_438,c_274]) ).
tff(c_309,plain,
strictorderedP(nil),
inference(cnfTransformation,[status(thm)],[f_733]) ).
tff(c_440,plain,
strictorderedP('#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_438,c_309]) ).
tff(c_386,plain,
'#skF_48' = '#skF_50',
inference(cnfTransformation,[status(thm)],[f_1035]) ).
tff(c_388,plain,
'#skF_49' = '#skF_51',
inference(cnfTransformation,[status(thm)],[f_1035]) ).
tff(c_384,plain,
( ~ strictorderedP('#skF_48')
| ~ segmentP('#skF_49','#skF_48') ),
inference(cnfTransformation,[status(thm)],[f_1035]) ).
tff(c_429,plain,
( ~ strictorderedP('#skF_50')
| ~ segmentP('#skF_51','#skF_50') ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_388,c_386,c_384]) ).
tff(c_499,plain,
~ segmentP('#skF_51','#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_440,c_429]) ).
tff(c_505,plain,
~ ssList('#skF_51'),
inference(resolution,[status(thm)],[c_502,c_499]) ).
tff(c_509,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_390,c_505]) ).
tff(c_511,plain,
nil != '#skF_50',
inference(splitRight,[status(thm)],[c_406]) ).
tff(c_408,plain,
( ssList('#skF_53')
| ( nil = '#skF_50' ) ),
inference(cnfTransformation,[status(thm)],[f_1035]) ).
tff(c_514,plain,
ssList('#skF_53'),
inference(negUnitSimplification,[status(thm)],[c_511,c_408]) ).
tff(c_510,plain,
ssList('#skF_54'),
inference(splitRight,[status(thm)],[c_406]) ).
tff(c_402,plain,
( ( app(app('#skF_53','#skF_50'),'#skF_54') = '#skF_51' )
| ( nil = '#skF_50' ) ),
inference(cnfTransformation,[status(thm)],[f_1035]) ).
tff(c_5916,plain,
app(app('#skF_53','#skF_50'),'#skF_54') = '#skF_51',
inference(negUnitSimplification,[status(thm)],[c_511,c_402]) ).
tff(c_186151,plain,
! [W_4875,U_4876,X_4877,V_4878] :
( segmentP(app(app(W_4875,U_4876),X_4877),V_4878)
| ~ segmentP(U_4876,V_4878)
| ~ ssList(X_4877)
| ~ ssList(W_4875)
| ~ ssList(V_4878)
| ~ ssList(U_4876) ),
inference(cnfTransformation,[status(thm)],[f_682]) ).
tff(c_186390,plain,
! [V_4878] :
( segmentP('#skF_51',V_4878)
| ~ segmentP('#skF_50',V_4878)
| ~ ssList('#skF_54')
| ~ ssList('#skF_53')
| ~ ssList(V_4878)
| ~ ssList('#skF_50') ),
inference(superposition,[status(thm),theory(equality)],[c_5916,c_186151]) ).
tff(c_186527,plain,
! [V_4879] :
( segmentP('#skF_51',V_4879)
| ~ segmentP('#skF_50',V_4879)
| ~ ssList(V_4879) ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_514,c_510,c_186390]) ).
tff(c_525,plain,
~ segmentP('#skF_51','#skF_50'),
inference(splitLeft,[status(thm)],[c_429]) ).
tff(c_186534,plain,
( ~ segmentP('#skF_50','#skF_50')
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_186527,c_525]) ).
tff(c_186543,plain,
~ segmentP('#skF_50','#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_186534]) ).
tff(c_186546,plain,
~ ssList('#skF_50'),
inference(resolution,[status(thm)],[c_270,c_186543]) ).
tff(c_186550,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_392,c_186546]) ).
tff(c_186551,plain,
~ strictorderedP('#skF_50'),
inference(splitRight,[status(thm)],[c_429]) ).
tff(c_410,plain,
( ssItem('#skF_52')
| ( nil = '#skF_50' ) ),
inference(cnfTransformation,[status(thm)],[f_1035]) ).
tff(c_512,plain,
ssItem('#skF_52'),
inference(negUnitSimplification,[status(thm)],[c_511,c_410]) ).
tff(c_418,plain,
( ( cons('#skF_52',nil) = '#skF_50' )
| ( nil = '#skF_51' ) ),
inference(cnfTransformation,[status(thm)],[f_1035]) ).
tff(c_186553,plain,
nil = '#skF_51',
inference(splitLeft,[status(thm)],[c_418]) ).
tff(c_186557,plain,
'#skF_51' != '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_186553,c_511]) ).
tff(c_404,plain,
( ( cons('#skF_52',nil) = '#skF_50' )
| ( nil = '#skF_50' ) ),
inference(cnfTransformation,[status(thm)],[f_1035]) ).
tff(c_186572,plain,
( ( cons('#skF_52','#skF_51') = '#skF_50' )
| ( '#skF_51' = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186553,c_186553,c_404]) ).
tff(c_186573,plain,
cons('#skF_52','#skF_51') = '#skF_50',
inference(negUnitSimplification,[status(thm)],[c_186557,c_186572]) ).
tff(c_307,plain,
! [U_1039] :
( strictorderedP(cons(U_1039,nil))
| ~ ssItem(U_1039) ),
inference(cnfTransformation,[status(thm)],[f_732]) ).
tff(c_186704,plain,
! [U_4896] :
( strictorderedP(cons(U_4896,'#skF_51'))
| ~ ssItem(U_4896) ),
inference(demodulation,[status(thm),theory(equality)],[c_186553,c_307]) ).
tff(c_186707,plain,
( strictorderedP('#skF_50')
| ~ ssItem('#skF_52') ),
inference(superposition,[status(thm),theory(equality)],[c_186573,c_186704]) ).
tff(c_186709,plain,
strictorderedP('#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_512,c_186707]) ).
tff(c_186711,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186551,c_186709]) ).
tff(c_186712,plain,
cons('#skF_52',nil) = '#skF_50',
inference(splitRight,[status(thm)],[c_418]) ).
tff(c_186838,plain,
! [U_4909] :
( strictorderedP(cons(U_4909,nil))
| ~ ssItem(U_4909) ),
inference(cnfTransformation,[status(thm)],[f_732]) ).
tff(c_186841,plain,
( strictorderedP('#skF_50')
| ~ ssItem('#skF_52') ),
inference(superposition,[status(thm),theory(equality)],[c_186712,c_186838]) ).
tff(c_186843,plain,
strictorderedP('#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_512,c_186841]) ).
tff(c_186845,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186551,c_186843]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC346+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 21:37:53 EDT 2023
% 0.13/0.35 % CPUTime :
% 67.86/52.23 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 67.86/52.24
% 67.86/52.24 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 68.03/52.27
% 68.03/52.27 Inference rules
% 68.03/52.27 ----------------------
% 68.03/52.27 #Ref : 31
% 68.03/52.27 #Sup : 40740
% 68.03/52.27 #Fact : 0
% 68.03/52.27 #Define : 0
% 68.03/52.27 #Split : 332
% 68.03/52.27 #Chain : 0
% 68.03/52.27 #Close : 0
% 68.03/52.27
% 68.03/52.27 Ordering : KBO
% 68.03/52.27
% 68.03/52.27 Simplification rules
% 68.03/52.27 ----------------------
% 68.03/52.27 #Subsume : 5962
% 68.03/52.27 #Demod : 38425
% 68.03/52.27 #Tautology : 9278
% 68.03/52.27 #SimpNegUnit : 4609
% 68.03/52.27 #BackRed : 810
% 68.03/52.27
% 68.03/52.27 #Partial instantiations: 0
% 68.03/52.27 #Strategies tried : 1
% 68.03/52.27
% 68.03/52.27 Timing (in seconds)
% 68.03/52.27 ----------------------
% 68.03/52.27 Preprocessing : 0.88
% 68.03/52.27 Parsing : 0.41
% 68.03/52.27 CNF conversion : 0.12
% 68.03/52.27 Main loop : 50.18
% 68.03/52.28 Inferencing : 8.46
% 68.03/52.28 Reduction : 24.00
% 68.03/52.28 Demodulation : 17.17
% 68.03/52.28 BG Simplification : 0.29
% 68.03/52.28 Subsumption : 13.34
% 68.03/52.28 Abstraction : 0.47
% 68.03/52.28 MUC search : 0.00
% 68.03/52.28 Cooper : 0.00
% 68.03/52.28 Total : 51.12
% 68.03/52.28 Index Insertion : 0.00
% 68.03/52.28 Index Deletion : 0.00
% 68.03/52.28 Index Matching : 0.00
% 68.03/52.28 BG Taut test : 0.00
%------------------------------------------------------------------------------