TSTP Solution File: SWC181+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC181+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 : n025.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 11:01:30 EDT 2023
% Result : Theorem 33.62s 18.67s
% Output : CNFRefutation 33.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 88
% Syntax : Number of formulae : 168 ( 36 unt; 77 typ; 0 def)
% Number of atoms : 271 ( 25 equ)
% Maximal formula atoms : 27 ( 2 avg)
% Number of connectives : 302 ( 122 ~; 117 |; 15 &)
% ( 4 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 4 avg)
% Maximal term depth : 5 ( 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 : 58 ( 58 usr; 9 con; 0-2 aty)
% Number of variables : 91 (; 81 !; 10 ?; 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_1049,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) ) ) ) ) ) ) )
| duplicatefreeP(U)
| ( ( nil != X )
& ( nil = W ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f_281,axiom,
! [U] :
( ssList(U)
=> ( duplicatefreeP(U)
<=> ! [V] :
( ssItem(V)
=> ! [W] :
( ssItem(W)
=> ! [X] :
( ssList(X)
=> ! [Y] :
( ssList(Y)
=> ! [Z] :
( ssList(Z)
=> ( ( app(app(X,cons(V,Y)),cons(W,Z)) = U )
=> ( V != W ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax13) ).
tff(f_318,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> ssList(cons(V,U)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax16) ).
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_399,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ssList(app(U,V)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax26) ).
tff(f_498,axiom,
! [U] :
( ssItem(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ( memberP(app(V,W),U)
<=> ( memberP(V,U)
| memberP(W,U) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax36) ).
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/sandbox/benchmark/Axioms/SWC001+0.ax',ax82) ).
tff(f_87,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> ( memberP(U,V)
<=> ? [W] :
( ssList(W)
& ? [X] :
( ssList(X)
& ( app(W,cons(V,X)) = U ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax3) ).
tff(f_628,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ( rearsegP(U,V)
=> rearsegP(app(W,U),V) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax50) ).
tff(f_257,axiom,
! [U] :
( ssList(U)
=> ( strictorderedP(U)
<=> ! [V] :
( ssItem(V)
=> ! [W] :
( ssItem(W)
=> ! [X] :
( ssList(X)
=> ! [Y] :
( ssList(Y)
=> ! [Z] :
( ssList(Z)
=> ( ( app(app(X,cons(V,Y)),cons(W,Z)) = U )
=> lt(V,W) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax12) ).
tff(f_461,axiom,
! [U] :
( ssItem(U)
=> ! [V] :
( ssItem(V)
=> ( lt(U,V)
=> ~ lt(V,U) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax33) ).
tff(c_400,plain,
'#skF_48' = '#skF_50',
inference(cnfTransformation,[status(thm)],[f_1049]) ).
tff(c_386,plain,
~ duplicatefreeP('#skF_48'),
inference(cnfTransformation,[status(thm)],[f_1049]) ).
tff(c_415,plain,
~ duplicatefreeP('#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_386]) ).
tff(c_406,plain,
ssList('#skF_50'),
inference(cnfTransformation,[status(thm)],[f_1049]) ).
tff(c_875,plain,
! [U_3180] :
( ( '#skF_36'(U_3180) = '#skF_35'(U_3180) )
| duplicatefreeP(U_3180)
| ~ ssList(U_3180) ),
inference(cnfTransformation,[status(thm)],[f_281]) ).
tff(c_965,plain,
( ( '#skF_36'('#skF_50') = '#skF_35'('#skF_50') )
| duplicatefreeP('#skF_50') ),
inference(resolution,[status(thm)],[c_406,c_875]) ).
tff(c_998,plain,
'#skF_36'('#skF_50') = '#skF_35'('#skF_50'),
inference(negUnitSimplification,[status(thm)],[c_415,c_965]) ).
tff(c_144,plain,
! [U_679] :
( ssItem('#skF_36'(U_679))
| duplicatefreeP(U_679)
| ~ ssList(U_679) ),
inference(cnfTransformation,[status(thm)],[f_281]) ).
tff(c_1002,plain,
( ssItem('#skF_35'('#skF_50'))
| duplicatefreeP('#skF_50')
| ~ ssList('#skF_50') ),
inference(superposition,[status(thm),theory(equality)],[c_998,c_144]) ).
tff(c_1006,plain,
( ssItem('#skF_35'('#skF_50'))
| duplicatefreeP('#skF_50') ),
inference(demodulation,[status(thm),theory(equality)],[c_406,c_1002]) ).
tff(c_1007,plain,
ssItem('#skF_35'('#skF_50')),
inference(negUnitSimplification,[status(thm)],[c_415,c_1006]) ).
tff(c_138,plain,
! [U_679] :
( ssList('#skF_39'(U_679))
| duplicatefreeP(U_679)
| ~ ssList(U_679) ),
inference(cnfTransformation,[status(thm)],[f_281]) ).
tff(c_140,plain,
! [U_679] :
( ssList('#skF_38'(U_679))
| duplicatefreeP(U_679)
| ~ ssList(U_679) ),
inference(cnfTransformation,[status(thm)],[f_281]) ).
tff(c_142,plain,
! [U_679] :
( ssList('#skF_37'(U_679))
| duplicatefreeP(U_679)
| ~ ssList(U_679) ),
inference(cnfTransformation,[status(thm)],[f_281]) ).
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_55379,plain,
! [U_4693] :
( ( app(app('#skF_37'(U_4693),cons('#skF_35'(U_4693),'#skF_38'(U_4693))),cons('#skF_36'(U_4693),'#skF_39'(U_4693))) = U_4693 )
| duplicatefreeP(U_4693)
| ~ ssList(U_4693) ),
inference(cnfTransformation,[status(thm)],[f_281]) ).
tff(c_55464,plain,
( ( app(app('#skF_37'('#skF_50'),cons('#skF_35'('#skF_50'),'#skF_38'('#skF_50'))),cons('#skF_35'('#skF_50'),'#skF_39'('#skF_50'))) = '#skF_50' )
| duplicatefreeP('#skF_50')
| ~ ssList('#skF_50') ),
inference(superposition,[status(thm),theory(equality)],[c_998,c_55379]) ).
tff(c_55468,plain,
( ( app(app('#skF_37'('#skF_50'),cons('#skF_35'('#skF_50'),'#skF_38'('#skF_50'))),cons('#skF_35'('#skF_50'),'#skF_39'('#skF_50'))) = '#skF_50' )
| duplicatefreeP('#skF_50') ),
inference(demodulation,[status(thm),theory(equality)],[c_406,c_55464]) ).
tff(c_55469,plain,
app(app('#skF_37'('#skF_50'),cons('#skF_35'('#skF_50'),'#skF_38'('#skF_50'))),cons('#skF_35'('#skF_50'),'#skF_39'('#skF_50'))) = '#skF_50',
inference(negUnitSimplification,[status(thm)],[c_415,c_55468]) ).
tff(c_272,plain,
! [W_1027,U_1015,X_1029,V_1023] :
( segmentP(app(app(W_1027,U_1015),X_1029),V_1023)
| ~ segmentP(U_1015,V_1023)
| ~ ssList(X_1029)
| ~ ssList(W_1027)
| ~ ssList(V_1023)
| ~ ssList(U_1015) ),
inference(cnfTransformation,[status(thm)],[f_682]) ).
tff(c_55486,plain,
! [V_1023] :
( segmentP('#skF_50',V_1023)
| ~ segmentP(cons('#skF_35'('#skF_50'),'#skF_38'('#skF_50')),V_1023)
| ~ ssList(cons('#skF_35'('#skF_50'),'#skF_39'('#skF_50')))
| ~ ssList('#skF_37'('#skF_50'))
| ~ ssList(V_1023)
| ~ ssList(cons('#skF_35'('#skF_50'),'#skF_38'('#skF_50'))) ),
inference(superposition,[status(thm),theory(equality)],[c_55469,c_272]) ).
tff(c_55656,plain,
~ ssList(cons('#skF_35'('#skF_50'),'#skF_38'('#skF_50'))),
inference(splitLeft,[status(thm)],[c_55486]) ).
tff(c_55659,plain,
( ~ ssItem('#skF_35'('#skF_50'))
| ~ ssList('#skF_38'('#skF_50')) ),
inference(resolution,[status(thm)],[c_166,c_55656]) ).
tff(c_55662,plain,
~ ssList('#skF_38'('#skF_50')),
inference(demodulation,[status(thm),theory(equality)],[c_1007,c_55659]) ).
tff(c_55665,plain,
( duplicatefreeP('#skF_50')
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_140,c_55662]) ).
tff(c_55668,plain,
duplicatefreeP('#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_406,c_55665]) ).
tff(c_55670,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_415,c_55668]) ).
tff(c_55672,plain,
ssList(cons('#skF_35'('#skF_50'),'#skF_38'('#skF_50'))),
inference(splitRight,[status(thm)],[c_55486]) ).
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_218,plain,
! [W_940,U_934,V_938] :
( ~ memberP(W_940,U_934)
| memberP(app(V_938,W_940),U_934)
| ~ ssList(W_940)
| ~ ssList(V_938)
| ~ ssItem(U_934) ),
inference(cnfTransformation,[status(thm)],[f_498]) ).
tff(c_55516,plain,
! [U_934] :
( ~ memberP(cons('#skF_35'('#skF_50'),'#skF_39'('#skF_50')),U_934)
| memberP('#skF_50',U_934)
| ~ ssList(cons('#skF_35'('#skF_50'),'#skF_39'('#skF_50')))
| ~ ssList(app('#skF_37'('#skF_50'),cons('#skF_35'('#skF_50'),'#skF_38'('#skF_50'))))
| ~ ssItem(U_934) ),
inference(superposition,[status(thm),theory(equality)],[c_55469,c_218]) ).
tff(c_56018,plain,
~ ssList(app('#skF_37'('#skF_50'),cons('#skF_35'('#skF_50'),'#skF_38'('#skF_50')))),
inference(splitLeft,[status(thm)],[c_55516]) ).
tff(c_56139,plain,
( ~ ssList(cons('#skF_35'('#skF_50'),'#skF_38'('#skF_50')))
| ~ ssList('#skF_37'('#skF_50')) ),
inference(resolution,[status(thm)],[c_192,c_56018]) ).
tff(c_56142,plain,
~ ssList('#skF_37'('#skF_50')),
inference(demodulation,[status(thm),theory(equality)],[c_55672,c_56139]) ).
tff(c_56145,plain,
( duplicatefreeP('#skF_50')
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_142,c_56142]) ).
tff(c_56148,plain,
duplicatefreeP('#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_406,c_56145]) ).
tff(c_56150,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_415,c_56148]) ).
tff(c_56152,plain,
ssList(app('#skF_37'('#skF_50'),cons('#skF_35'('#skF_50'),'#skF_38'('#skF_50')))),
inference(splitRight,[status(thm)],[c_55516]) ).
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_55548,plain,
( ( app('#skF_37'('#skF_50'),app(cons('#skF_35'('#skF_50'),'#skF_38'('#skF_50')),cons('#skF_35'('#skF_50'),'#skF_39'('#skF_50')))) = '#skF_50' )
| ~ ssList(cons('#skF_35'('#skF_50'),'#skF_39'('#skF_50')))
| ~ ssList(cons('#skF_35'('#skF_50'),'#skF_38'('#skF_50')))
| ~ ssList('#skF_37'('#skF_50')) ),
inference(superposition,[status(thm),theory(equality)],[c_348,c_55469]) ).
tff(c_57775,plain,
( ( app('#skF_37'('#skF_50'),app(cons('#skF_35'('#skF_50'),'#skF_38'('#skF_50')),cons('#skF_35'('#skF_50'),'#skF_39'('#skF_50')))) = '#skF_50' )
| ~ ssList(cons('#skF_35'('#skF_50'),'#skF_39'('#skF_50')))
| ~ ssList('#skF_37'('#skF_50')) ),
inference(demodulation,[status(thm),theory(equality)],[c_55672,c_55548]) ).
tff(c_57776,plain,
~ ssList('#skF_37'('#skF_50')),
inference(splitLeft,[status(thm)],[c_57775]) ).
tff(c_57779,plain,
( duplicatefreeP('#skF_50')
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_142,c_57776]) ).
tff(c_57782,plain,
duplicatefreeP('#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_406,c_57779]) ).
tff(c_57784,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_415,c_57782]) ).
tff(c_57786,plain,
ssList('#skF_37'('#skF_50')),
inference(splitRight,[status(thm)],[c_57775]) ).
tff(c_12,plain,
! [W_27,V_19,X_29] :
( memberP(app(W_27,cons(V_19,X_29)),V_19)
| ~ ssList(X_29)
| ~ ssList(W_27)
| ~ ssItem(V_19)
| ~ ssList(app(W_27,cons(V_19,X_29))) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_258,plain,
! [W_1001,U_995,V_999] :
( rearsegP(app(W_1001,U_995),V_999)
| ~ rearsegP(U_995,V_999)
| ~ ssList(W_1001)
| ~ ssList(V_999)
| ~ ssList(U_995) ),
inference(cnfTransformation,[status(thm)],[f_628]) ).
tff(c_55510,plain,
! [V_999] :
( rearsegP('#skF_50',V_999)
| ~ rearsegP(cons('#skF_35'('#skF_50'),'#skF_39'('#skF_50')),V_999)
| ~ ssList(app('#skF_37'('#skF_50'),cons('#skF_35'('#skF_50'),'#skF_38'('#skF_50'))))
| ~ ssList(V_999)
| ~ ssList(cons('#skF_35'('#skF_50'),'#skF_39'('#skF_50'))) ),
inference(superposition,[status(thm),theory(equality)],[c_55469,c_258]) ).
tff(c_56701,plain,
! [V_999] :
( rearsegP('#skF_50',V_999)
| ~ rearsegP(cons('#skF_35'('#skF_50'),'#skF_39'('#skF_50')),V_999)
| ~ ssList(V_999)
| ~ ssList(cons('#skF_35'('#skF_50'),'#skF_39'('#skF_50'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_56152,c_55510]) ).
tff(c_56702,plain,
~ ssList(cons('#skF_35'('#skF_50'),'#skF_39'('#skF_50'))),
inference(splitLeft,[status(thm)],[c_56701]) ).
tff(c_57760,plain,
( ~ ssItem('#skF_35'('#skF_50'))
| ~ ssList('#skF_39'('#skF_50')) ),
inference(resolution,[status(thm)],[c_166,c_56702]) ).
tff(c_57763,plain,
~ ssList('#skF_39'('#skF_50')),
inference(demodulation,[status(thm),theory(equality)],[c_1007,c_57760]) ).
tff(c_57766,plain,
( duplicatefreeP('#skF_50')
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_138,c_57763]) ).
tff(c_57769,plain,
duplicatefreeP('#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_406,c_57766]) ).
tff(c_57771,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_415,c_57769]) ).
tff(c_57773,plain,
ssList(cons('#skF_35'('#skF_50'),'#skF_39'('#skF_50'))),
inference(splitRight,[status(thm)],[c_56701]) ).
tff(c_220,plain,
! [V_938,U_934,W_940] :
( ~ memberP(V_938,U_934)
| memberP(app(V_938,W_940),U_934)
| ~ ssList(W_940)
| ~ ssList(V_938)
| ~ ssItem(U_934) ),
inference(cnfTransformation,[status(thm)],[f_498]) ).
tff(c_55513,plain,
! [U_934] :
( ~ memberP(app('#skF_37'('#skF_50'),cons('#skF_35'('#skF_50'),'#skF_38'('#skF_50'))),U_934)
| memberP('#skF_50',U_934)
| ~ ssList(cons('#skF_35'('#skF_50'),'#skF_39'('#skF_50')))
| ~ ssList(app('#skF_37'('#skF_50'),cons('#skF_35'('#skF_50'),'#skF_38'('#skF_50'))))
| ~ ssItem(U_934) ),
inference(superposition,[status(thm),theory(equality)],[c_55469,c_220]) ).
tff(c_62791,plain,
! [U_4756] :
( ~ memberP(app('#skF_37'('#skF_50'),cons('#skF_35'('#skF_50'),'#skF_38'('#skF_50'))),U_4756)
| memberP('#skF_50',U_4756)
| ~ ssItem(U_4756) ),
inference(demodulation,[status(thm),theory(equality)],[c_56152,c_57773,c_55513]) ).
tff(c_62795,plain,
( memberP('#skF_50','#skF_35'('#skF_50'))
| ~ ssList('#skF_38'('#skF_50'))
| ~ ssList('#skF_37'('#skF_50'))
| ~ ssItem('#skF_35'('#skF_50'))
| ~ ssList(app('#skF_37'('#skF_50'),cons('#skF_35'('#skF_50'),'#skF_38'('#skF_50')))) ),
inference(resolution,[status(thm)],[c_12,c_62791]) ).
tff(c_62806,plain,
( memberP('#skF_50','#skF_35'('#skF_50'))
| ~ ssList('#skF_38'('#skF_50')) ),
inference(demodulation,[status(thm),theory(equality)],[c_56152,c_1007,c_57786,c_62795]) ).
tff(c_62813,plain,
~ ssList('#skF_38'('#skF_50')),
inference(splitLeft,[status(thm)],[c_62806]) ).
tff(c_62816,plain,
( duplicatefreeP('#skF_50')
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_140,c_62813]) ).
tff(c_62819,plain,
duplicatefreeP('#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_406,c_62816]) ).
tff(c_62821,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_415,c_62819]) ).
tff(c_62823,plain,
ssList('#skF_38'('#skF_50')),
inference(splitRight,[status(thm)],[c_62806]) ).
tff(c_392,plain,
strictorderedP('#skF_50'),
inference(cnfTransformation,[status(thm)],[f_1049]) ).
tff(c_59218,plain,
! [V_4725,Y_4727,W_4724,X_4723,Z_4726] :
( lt(V_4725,W_4724)
| ~ ssList(Z_4726)
| ~ ssList(Y_4727)
| ~ ssList(X_4723)
| ~ ssItem(W_4724)
| ~ ssItem(V_4725)
| ~ strictorderedP(app(app(X_4723,cons(V_4725,Y_4727)),cons(W_4724,Z_4726)))
| ~ ssList(app(app(X_4723,cons(V_4725,Y_4727)),cons(W_4724,Z_4726))) ),
inference(cnfTransformation,[status(thm)],[f_257]) ).
tff(c_59230,plain,
( lt('#skF_35'('#skF_50'),'#skF_35'('#skF_50'))
| ~ ssList('#skF_39'('#skF_50'))
| ~ ssList('#skF_38'('#skF_50'))
| ~ ssList('#skF_37'('#skF_50'))
| ~ ssItem('#skF_35'('#skF_50'))
| ~ ssItem('#skF_35'('#skF_50'))
| ~ strictorderedP('#skF_50')
| ~ ssList(app(app('#skF_37'('#skF_50'),cons('#skF_35'('#skF_50'),'#skF_38'('#skF_50'))),cons('#skF_35'('#skF_50'),'#skF_39'('#skF_50')))) ),
inference(superposition,[status(thm),theory(equality)],[c_55469,c_59218]) ).
tff(c_59357,plain,
( lt('#skF_35'('#skF_50'),'#skF_35'('#skF_50'))
| ~ ssList('#skF_39'('#skF_50'))
| ~ ssList('#skF_38'('#skF_50')) ),
inference(demodulation,[status(thm),theory(equality)],[c_406,c_55469,c_392,c_1007,c_1007,c_57786,c_59230]) ).
tff(c_72353,plain,
( lt('#skF_35'('#skF_50'),'#skF_35'('#skF_50'))
| ~ ssList('#skF_39'('#skF_50')) ),
inference(demodulation,[status(thm),theory(equality)],[c_62823,c_59357]) ).
tff(c_72354,plain,
~ ssList('#skF_39'('#skF_50')),
inference(splitLeft,[status(thm)],[c_72353]) ).
tff(c_72357,plain,
( duplicatefreeP('#skF_50')
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_138,c_72354]) ).
tff(c_72360,plain,
duplicatefreeP('#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_406,c_72357]) ).
tff(c_72362,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_415,c_72360]) ).
tff(c_72363,plain,
lt('#skF_35'('#skF_50'),'#skF_35'('#skF_50')),
inference(splitRight,[status(thm)],[c_72353]) ).
tff(c_208,plain,
! [V_923,U_921] :
( ~ lt(V_923,U_921)
| ~ lt(U_921,V_923)
| ~ ssItem(V_923)
| ~ ssItem(U_921) ),
inference(cnfTransformation,[status(thm)],[f_461]) ).
tff(c_72503,plain,
( ~ lt('#skF_35'('#skF_50'),'#skF_35'('#skF_50'))
| ~ ssItem('#skF_35'('#skF_50')) ),
inference(resolution,[status(thm)],[c_72363,c_208]) ).
tff(c_72533,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1007,c_72363,c_72503]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWC181+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/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
% 0.15/0.36 % Computer : n025.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 21:28:34 EDT 2023
% 0.15/0.36 % CPUTime :
% 33.62/18.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.62/18.68
% 33.62/18.68 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 33.62/18.72
% 33.62/18.72 Inference rules
% 33.62/18.72 ----------------------
% 33.62/18.72 #Ref : 5
% 33.62/18.72 #Sup : 15986
% 33.62/18.72 #Fact : 0
% 33.62/18.72 #Define : 0
% 33.62/18.72 #Split : 199
% 33.62/18.72 #Chain : 0
% 33.62/18.72 #Close : 0
% 33.62/18.72
% 33.62/18.72 Ordering : KBO
% 33.62/18.72
% 33.62/18.72 Simplification rules
% 33.62/18.72 ----------------------
% 33.62/18.72 #Subsume : 3079
% 33.62/18.72 #Demod : 14556
% 33.62/18.72 #Tautology : 4071
% 33.62/18.72 #SimpNegUnit : 1280
% 33.62/18.72 #BackRed : 527
% 33.62/18.72
% 33.62/18.72 #Partial instantiations: 0
% 33.62/18.72 #Strategies tried : 1
% 33.62/18.72
% 33.62/18.72 Timing (in seconds)
% 33.62/18.72 ----------------------
% 33.62/18.73 Preprocessing : 0.92
% 33.62/18.73 Parsing : 0.42
% 33.62/18.73 CNF conversion : 0.14
% 33.62/18.73 Main loop : 16.66
% 33.62/18.73 Inferencing : 3.38
% 33.62/18.73 Reduction : 7.53
% 33.62/18.73 Demodulation : 5.60
% 33.62/18.73 BG Simplification : 0.17
% 33.62/18.73 Subsumption : 4.18
% 33.62/18.73 Abstraction : 0.23
% 33.62/18.73 MUC search : 0.00
% 33.62/18.73 Cooper : 0.00
% 33.62/18.73 Total : 17.65
% 33.62/18.73 Index Insertion : 0.00
% 33.62/18.73 Index Deletion : 0.00
% 33.62/18.73 Index Matching : 0.00
% 33.62/18.73 BG Taut test : 0.00
%------------------------------------------------------------------------------