TSTP Solution File: SWC211+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC211+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 : n001.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 11:01:39 EDT 2023
% Result : Theorem 10.34s 3.52s
% Output : CNFRefutation 10.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 89
% Syntax : Number of formulae : 186 ( 45 unt; 75 typ; 0 def)
% Number of atoms : 268 ( 117 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 273 ( 116 ~; 121 |; 8 &)
% ( 3 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 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 : 56 ( 56 usr; 7 con; 0-2 aty)
% Number of variables : 72 (; 67 !; 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_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_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_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_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_1015,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( ( V != X )
| ( U != W )
| ~ neq(V,nil)
| ? [Y] :
( ssItem(Y)
& ? [Z] :
( ssList(Z)
& ( app(Z,cons(Y,nil)) != W )
& ( app(cons(Y,nil),Z) = X ) ) )
| neq(U,nil)
| ( ( nil != W )
& ( nil = X ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
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_413,axiom,
! [U] :
( ssList(U)
=> ( app(nil,U) = U ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).
tff(f_859,axiom,
! [U] :
( ssList(U)
=> ( app(U,nil) = U ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax84) ).
tff(f_96,axiom,
! [U] :
( ssList(U)
=> ( singletonP(U)
<=> ? [V] :
( ssItem(V)
& ( cons(V,nil) = U ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax4) ).
tff(f_371,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ssItem(hd(U)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax22) ).
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_385,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ssList(tl(U)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax24) ).
tff(f_803,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ( cons(hd(U),tl(U)) = U ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax78) ).
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_834,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> ( cons(V,U) = app(cons(V,nil),U) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax81) ).
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(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(c_396,plain,
ssList('#skF_51'),
inference(cnfTransformation,[status(thm)],[f_1015]) ).
tff(c_398,plain,
ssList('#skF_50'),
inference(cnfTransformation,[status(thm)],[f_1015]) ).
tff(c_761,plain,
! [U_1248] :
( ( hd(U_1248) = '#skF_46'(U_1248) )
| ( nil = U_1248 )
| ~ ssList(U_1248) ),
inference(cnfTransformation,[status(thm)],[f_769]) ).
tff(c_868,plain,
( ( hd('#skF_50') = '#skF_46'('#skF_50') )
| ( nil = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_398,c_761]) ).
tff(c_879,plain,
nil = '#skF_50',
inference(splitLeft,[status(thm)],[c_868]) ).
tff(c_384,plain,
( ( nil != '#skF_51' )
| ( nil = '#skF_50' ) ),
inference(cnfTransformation,[status(thm)],[f_1015]) ).
tff(c_417,plain,
nil != '#skF_51',
inference(splitLeft,[status(thm)],[c_384]) ).
tff(c_921,plain,
'#skF_51' != '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_879,c_417]) ).
tff(c_460,plain,
! [U_1200] :
( ( app(nil,U_1200) = U_1200 )
| ~ ssList(U_1200) ),
inference(cnfTransformation,[status(thm)],[f_413]) ).
tff(c_472,plain,
app(nil,'#skF_51') = '#skF_51',
inference(resolution,[status(thm)],[c_396,c_460]) ).
tff(c_907,plain,
app('#skF_50','#skF_51') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_879,c_472]) ).
tff(c_432,plain,
! [U_1196] :
( ( app(U_1196,nil) = U_1196 )
| ~ ssList(U_1196) ),
inference(cnfTransformation,[status(thm)],[f_859]) ).
tff(c_443,plain,
app('#skF_51',nil) = '#skF_51',
inference(resolution,[status(thm)],[c_396,c_432]) ).
tff(c_911,plain,
app('#skF_51','#skF_50') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_879,c_443]) ).
tff(c_22,plain,
! [U_30] :
( ( cons('#skF_5'(U_30),nil) = U_30 )
| ~ singletonP(U_30)
| ~ ssList(U_30) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_1806,plain,
! [U_30] :
( ( cons('#skF_5'(U_30),'#skF_50') = U_30 )
| ~ singletonP(U_30)
| ~ ssList(U_30) ),
inference(demodulation,[status(thm),theory(equality)],[c_879,c_22]) ).
tff(c_1807,plain,
! [U_1289] :
( ( cons('#skF_5'(U_1289),'#skF_50') = U_1289 )
| ~ singletonP(U_1289)
| ~ ssList(U_1289) ),
inference(demodulation,[status(thm),theory(equality)],[c_879,c_22]) ).
tff(c_388,plain,
! [Y_1178,Z_1180] :
( ( app(cons(Y_1178,nil),Z_1180) != '#skF_51' )
| ( app(Z_1180,cons(Y_1178,nil)) = '#skF_50' )
| ~ ssList(Z_1180)
| ~ ssItem(Y_1178) ),
inference(cnfTransformation,[status(thm)],[f_1015]) ).
tff(c_922,plain,
! [Y_1178,Z_1180] :
( ( app(cons(Y_1178,'#skF_50'),Z_1180) != '#skF_51' )
| ( app(Z_1180,cons(Y_1178,'#skF_50')) = '#skF_50' )
| ~ ssList(Z_1180)
| ~ ssItem(Y_1178) ),
inference(demodulation,[status(thm),theory(equality)],[c_879,c_879,c_388]) ).
tff(c_1878,plain,
! [U_1297,Z_1298] :
( ( app(U_1297,Z_1298) != '#skF_51' )
| ( app(Z_1298,cons('#skF_5'(U_1297),'#skF_50')) = '#skF_50' )
| ~ ssList(Z_1298)
| ~ ssItem('#skF_5'(U_1297))
| ~ singletonP(U_1297)
| ~ ssList(U_1297) ),
inference(superposition,[status(thm),theory(equality)],[c_1807,c_922]) ).
tff(c_2040,plain,
! [U_1308,Z_1309] :
( ( app(U_1308,Z_1309) != '#skF_51' )
| ( app(Z_1309,U_1308) = '#skF_50' )
| ~ ssList(Z_1309)
| ~ ssItem('#skF_5'(U_1308))
| ~ singletonP(U_1308)
| ~ ssList(U_1308)
| ~ singletonP(U_1308)
| ~ ssList(U_1308) ),
inference(superposition,[status(thm),theory(equality)],[c_1806,c_1878]) ).
tff(c_2052,plain,
( ( app('#skF_50','#skF_51') = '#skF_50' )
| ~ ssList('#skF_50')
| ~ ssItem('#skF_5'('#skF_51'))
| ~ singletonP('#skF_51')
| ~ ssList('#skF_51') ),
inference(superposition,[status(thm),theory(equality)],[c_911,c_2040]) ).
tff(c_2065,plain,
( ( '#skF_51' = '#skF_50' )
| ~ ssItem('#skF_5'('#skF_51'))
| ~ singletonP('#skF_51') ),
inference(demodulation,[status(thm),theory(equality)],[c_396,c_398,c_907,c_2052]) ).
tff(c_2066,plain,
( ~ ssItem('#skF_5'('#skF_51'))
| ~ singletonP('#skF_51') ),
inference(negUnitSimplification,[status(thm)],[c_921,c_2065]) ).
tff(c_2067,plain,
~ singletonP('#skF_51'),
inference(splitLeft,[status(thm)],[c_2066]) ).
tff(c_836,plain,
( ( hd('#skF_51') = '#skF_46'('#skF_51') )
| ( nil = '#skF_51' ) ),
inference(resolution,[status(thm)],[c_396,c_761]) ).
tff(c_867,plain,
hd('#skF_51') = '#skF_46'('#skF_51'),
inference(negUnitSimplification,[status(thm)],[c_417,c_836]) ).
tff(c_184,plain,
! [U_888] :
( ssItem(hd(U_888))
| ( nil = U_888 )
| ~ ssList(U_888) ),
inference(cnfTransformation,[status(thm)],[f_371]) ).
tff(c_872,plain,
( ssItem('#skF_46'('#skF_51'))
| ( nil = '#skF_51' )
| ~ ssList('#skF_51') ),
inference(superposition,[status(thm),theory(equality)],[c_867,c_184]) ).
tff(c_876,plain,
( ssItem('#skF_46'('#skF_51'))
| ( nil = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_396,c_872]) ).
tff(c_877,plain,
ssItem('#skF_46'('#skF_51')),
inference(negUnitSimplification,[status(thm)],[c_417,c_876]) ).
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_961,plain,
! [U_1260] :
( ( tl(U_1260) = '#skF_47'(U_1260) )
| ( U_1260 = '#skF_50' )
| ~ ssList(U_1260) ),
inference(demodulation,[status(thm),theory(equality)],[c_879,c_334]) ).
tff(c_1027,plain,
( ( tl('#skF_51') = '#skF_47'('#skF_51') )
| ( '#skF_51' = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_396,c_961]) ).
tff(c_1054,plain,
tl('#skF_51') = '#skF_47'('#skF_51'),
inference(negUnitSimplification,[status(thm)],[c_921,c_1027]) ).
tff(c_188,plain,
! [U_892] :
( ssList(tl(U_892))
| ( nil = U_892 )
| ~ ssList(U_892) ),
inference(cnfTransformation,[status(thm)],[f_385]) ).
tff(c_1608,plain,
! [U_1286] :
( ssList(tl(U_1286))
| ( U_1286 = '#skF_50' )
| ~ ssList(U_1286) ),
inference(demodulation,[status(thm),theory(equality)],[c_879,c_188]) ).
tff(c_1626,plain,
( ssList('#skF_47'('#skF_51'))
| ( '#skF_51' = '#skF_50' )
| ~ ssList('#skF_51') ),
inference(superposition,[status(thm),theory(equality)],[c_1054,c_1608]) ).
tff(c_1633,plain,
( ssList('#skF_47'('#skF_51'))
| ( '#skF_51' = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_396,c_1626]) ).
tff(c_1634,plain,
ssList('#skF_47'('#skF_51')),
inference(negUnitSimplification,[status(thm)],[c_921,c_1633]) ).
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_1690,plain,
! [U_1288] :
( ( hd(U_1288) = '#skF_46'(U_1288) )
| ( U_1288 = '#skF_50' )
| ~ ssList(U_1288) ),
inference(demodulation,[status(thm),theory(equality)],[c_879,c_330]) ).
tff(c_1775,plain,
( ( hd('#skF_47'('#skF_51')) = '#skF_46'('#skF_47'('#skF_51')) )
| ( '#skF_47'('#skF_51') = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_1634,c_1690]) ).
tff(c_2466,plain,
'#skF_47'('#skF_51') = '#skF_50',
inference(splitLeft,[status(thm)],[c_1775]) ).
tff(c_2474,plain,
tl('#skF_51') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_2466,c_1054]) ).
tff(c_340,plain,
! [U_1052] :
( ( cons(hd(U_1052),tl(U_1052)) = U_1052 )
| ( nil = U_1052 )
| ~ ssList(U_1052) ),
inference(cnfTransformation,[status(thm)],[f_803]) ).
tff(c_2528,plain,
! [U_1333] :
( ( cons(hd(U_1333),tl(U_1333)) = U_1333 )
| ( U_1333 = '#skF_50' )
| ~ ssList(U_1333) ),
inference(demodulation,[status(thm),theory(equality)],[c_879,c_340]) ).
tff(c_2562,plain,
( ( cons('#skF_46'('#skF_51'),tl('#skF_51')) = '#skF_51' )
| ( '#skF_51' = '#skF_50' )
| ~ ssList('#skF_51') ),
inference(superposition,[status(thm),theory(equality)],[c_867,c_2528]) ).
tff(c_2571,plain,
( ( cons('#skF_46'('#skF_51'),'#skF_50') = '#skF_51' )
| ( '#skF_51' = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_396,c_2474,c_2562]) ).
tff(c_2572,plain,
cons('#skF_46'('#skF_51'),'#skF_50') = '#skF_51',
inference(negUnitSimplification,[status(thm)],[c_921,c_2571]) ).
tff(c_20,plain,
! [V_33] :
( singletonP(cons(V_33,nil))
| ~ ssItem(V_33)
| ~ ssList(cons(V_33,nil)) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_2693,plain,
! [V_1337] :
( singletonP(cons(V_1337,'#skF_50'))
| ~ ssItem(V_1337)
| ~ ssList(cons(V_1337,'#skF_50')) ),
inference(demodulation,[status(thm),theory(equality)],[c_879,c_879,c_20]) ).
tff(c_2696,plain,
( singletonP(cons('#skF_46'('#skF_51'),'#skF_50'))
| ~ ssItem('#skF_46'('#skF_51'))
| ~ ssList('#skF_51') ),
inference(superposition,[status(thm),theory(equality)],[c_2572,c_2693]) ).
tff(c_2705,plain,
singletonP('#skF_51'),
inference(demodulation,[status(thm),theory(equality)],[c_396,c_877,c_2572,c_2696]) ).
tff(c_2707,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2067,c_2705]) ).
tff(c_2709,plain,
'#skF_47'('#skF_51') != '#skF_50',
inference(splitRight,[status(thm)],[c_1775]) ).
tff(c_2866,plain,
! [U_1350] :
( ( cons(hd(U_1350),tl(U_1350)) = U_1350 )
| ( U_1350 = '#skF_50' )
| ~ ssList(U_1350) ),
inference(demodulation,[status(thm),theory(equality)],[c_879,c_340]) ).
tff(c_2906,plain,
( ( cons('#skF_46'('#skF_51'),tl('#skF_51')) = '#skF_51' )
| ( '#skF_51' = '#skF_50' )
| ~ ssList('#skF_51') ),
inference(superposition,[status(thm),theory(equality)],[c_867,c_2866]) ).
tff(c_2921,plain,
( ( cons('#skF_46'('#skF_51'),'#skF_47'('#skF_51')) = '#skF_51' )
| ( '#skF_51' = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_396,c_1054,c_2906]) ).
tff(c_2922,plain,
cons('#skF_46'('#skF_51'),'#skF_47'('#skF_51')) = '#skF_51',
inference(negUnitSimplification,[status(thm)],[c_921,c_2921]) ).
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_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_5619,plain,
! [V_1437,U_1438] :
( ( app(cons(V_1437,'#skF_50'),U_1438) = cons(V_1437,U_1438) )
| ~ ssItem(V_1437)
| ~ ssList(U_1438) ),
inference(demodulation,[status(thm),theory(equality)],[c_879,c_346]) ).
tff(c_5654,plain,
! [V_1439,U_1440] :
( ( cons(V_1439,U_1440) != '#skF_51' )
| ( app(U_1440,cons(V_1439,'#skF_50')) = '#skF_50' )
| ~ ssList(U_1440)
| ~ ssItem(V_1439)
| ~ ssItem(V_1439)
| ~ ssList(U_1440) ),
inference(superposition,[status(thm),theory(equality)],[c_5619,c_922]) ).
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_3028,plain,
! [U_1077,V_1079] :
( ( U_1077 = '#skF_50' )
| ( app(U_1077,V_1079) != '#skF_50' )
| ~ ssList(V_1079)
| ~ ssList(U_1077) ),
inference(demodulation,[status(thm),theory(equality)],[c_879,c_879,c_352]) ).
tff(c_5712,plain,
! [U_1443,V_1444] :
( ( U_1443 = '#skF_50' )
| ~ ssList(cons(V_1444,'#skF_50'))
| ( cons(V_1444,U_1443) != '#skF_51' )
| ~ ssItem(V_1444)
| ~ ssList(U_1443) ),
inference(superposition,[status(thm),theory(equality)],[c_5654,c_3028]) ).
tff(c_5717,plain,
! [U_1443,V_861] :
( ( U_1443 = '#skF_50' )
| ( cons(V_861,U_1443) != '#skF_51' )
| ~ ssList(U_1443)
| ~ ssItem(V_861)
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_166,c_5712]) ).
tff(c_6401,plain,
! [U_1485,V_1486] :
( ( U_1485 = '#skF_50' )
| ( cons(V_1486,U_1485) != '#skF_51' )
| ~ ssList(U_1485)
| ~ ssItem(V_1486) ),
inference(demodulation,[status(thm),theory(equality)],[c_398,c_5717]) ).
tff(c_6407,plain,
( ( '#skF_47'('#skF_51') = '#skF_50' )
| ~ ssList('#skF_47'('#skF_51'))
| ~ ssItem('#skF_46'('#skF_51')) ),
inference(superposition,[status(thm),theory(equality)],[c_2922,c_6401]) ).
tff(c_6416,plain,
'#skF_47'('#skF_51') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_877,c_1634,c_6407]) ).
tff(c_6418,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2709,c_6416]) ).
tff(c_6420,plain,
singletonP('#skF_51'),
inference(splitRight,[status(thm)],[c_2066]) ).
tff(c_24,plain,
! [U_30] :
( ssItem('#skF_5'(U_30))
| ~ singletonP(U_30)
| ~ ssList(U_30) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_6419,plain,
~ ssItem('#skF_5'('#skF_51')),
inference(splitRight,[status(thm)],[c_2066]) ).
tff(c_6423,plain,
( ~ singletonP('#skF_51')
| ~ ssList('#skF_51') ),
inference(resolution,[status(thm)],[c_24,c_6419]) ).
tff(c_6427,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_396,c_6420,c_6423]) ).
tff(c_6429,plain,
nil != '#skF_50',
inference(splitRight,[status(thm)],[c_868]) ).
tff(c_168,plain,
ssList(nil),
inference(cnfTransformation,[status(thm)],[f_319]) ).
tff(c_6949,plain,
! [U_1500,V_1501] :
( neq(U_1500,V_1501)
| ( V_1501 = U_1500 )
| ~ ssList(V_1501)
| ~ ssList(U_1500) ),
inference(cnfTransformation,[status(thm)],[f_311]) ).
tff(c_392,plain,
'#skF_48' = '#skF_50',
inference(cnfTransformation,[status(thm)],[f_1015]) ).
tff(c_386,plain,
~ neq('#skF_48',nil),
inference(cnfTransformation,[status(thm)],[f_1015]) ).
tff(c_408,plain,
~ neq('#skF_50',nil),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_386]) ).
tff(c_6960,plain,
( ( nil = '#skF_50' )
| ~ ssList(nil)
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_6949,c_408]) ).
tff(c_6967,plain,
nil = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_398,c_168,c_6960]) ).
tff(c_6969,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6429,c_6967]) ).
tff(c_6970,plain,
nil = '#skF_50',
inference(splitRight,[status(thm)],[c_384]) ).
tff(c_6971,plain,
nil = '#skF_51',
inference(splitRight,[status(thm)],[c_384]) ).
tff(c_6990,plain,
'#skF_51' = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_6970,c_6971]) ).
tff(c_6975,plain,
~ neq('#skF_50','#skF_51'),
inference(demodulation,[status(thm),theory(equality)],[c_6971,c_408]) ).
tff(c_7014,plain,
~ neq('#skF_50','#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_6990,c_6975]) ).
tff(c_394,plain,
'#skF_49' = '#skF_51',
inference(cnfTransformation,[status(thm)],[f_1015]) ).
tff(c_390,plain,
neq('#skF_49',nil),
inference(cnfTransformation,[status(thm)],[f_1015]) ).
tff(c_407,plain,
neq('#skF_51',nil),
inference(demodulation,[status(thm),theory(equality)],[c_394,c_390]) ).
tff(c_6974,plain,
neq('#skF_51','#skF_51'),
inference(demodulation,[status(thm),theory(equality)],[c_6971,c_407]) ).
tff(c_7015,plain,
neq('#skF_50','#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_6990,c_6990,c_6974]) ).
tff(c_7016,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7014,c_7015]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC211+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
% 0.14/0.36 % Computer : n001.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 21:54:25 EDT 2023
% 0.14/0.36 % CPUTime :
% 10.34/3.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.34/3.54
% 10.34/3.54 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 10.34/3.58
% 10.34/3.58 Inference rules
% 10.34/3.58 ----------------------
% 10.34/3.58 #Ref : 0
% 10.34/3.58 #Sup : 1477
% 10.34/3.58 #Fact : 0
% 10.34/3.58 #Define : 0
% 10.34/3.58 #Split : 16
% 10.34/3.58 #Chain : 0
% 10.34/3.58 #Close : 0
% 10.34/3.58
% 10.34/3.58 Ordering : KBO
% 10.34/3.58
% 10.34/3.58 Simplification rules
% 10.34/3.58 ----------------------
% 10.34/3.58 #Subsume : 318
% 10.34/3.58 #Demod : 1052
% 10.34/3.58 #Tautology : 497
% 10.34/3.58 #SimpNegUnit : 57
% 10.34/3.58 #BackRed : 67
% 10.34/3.58
% 10.34/3.58 #Partial instantiations: 0
% 10.34/3.58 #Strategies tried : 1
% 10.34/3.58
% 10.34/3.58 Timing (in seconds)
% 10.34/3.58 ----------------------
% 10.34/3.58 Preprocessing : 0.87
% 10.34/3.58 Parsing : 0.40
% 10.34/3.58 CNF conversion : 0.11
% 10.34/3.58 Main loop : 1.56
% 10.34/3.58 Inferencing : 0.52
% 10.34/3.58 Reduction : 0.49
% 10.34/3.58 Demodulation : 0.35
% 10.34/3.58 BG Simplification : 0.09
% 10.34/3.58 Subsumption : 0.34
% 10.34/3.58 Abstraction : 0.05
% 10.34/3.58 MUC search : 0.00
% 10.34/3.58 Cooper : 0.00
% 10.34/3.58 Total : 2.50
% 10.34/3.58 Index Insertion : 0.00
% 10.34/3.58 Index Deletion : 0.00
% 10.34/3.58 Index Matching : 0.00
% 10.34/3.58 BG Taut test : 0.00
%------------------------------------------------------------------------------