TSTP Solution File: SWC407+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC407+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 : n024.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 11:02:32 EDT 2023
% Result : Theorem 17.01s 5.61s
% Output : CNFRefutation 17.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 81
% Syntax : Number of formulae : 118 ( 25 unt; 77 typ; 0 def)
% Number of atoms : 84 ( 26 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 79 ( 36 ~; 31 |; 1 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 avg)
% Maximal term depth : 2 ( 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 : 19 (; 19 !; 0 ?; 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_1017,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( ( V != X )
| ( U != W )
| ! [Y] :
( ssItem(Y)
=> ( ~ memberP(U,Y)
| memberP(V,Y) ) )
| ( ! [Z] :
( ssItem(Z)
=> ( ( cons(Z,nil) != W )
| ~ memberP(X,Z) ) )
& ( ( nil != X )
| ( nil != W ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f_517,axiom,
! [U] :
( ssItem(U)
=> ~ memberP(nil,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax38) ).
tff(f_319,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
tff(f_512,axiom,
! [U] :
( ssItem(U)
=> ! [V] :
( ssItem(V)
=> ! [W] :
( ssList(W)
=> ( memberP(cons(V,W),U)
<=> ( ( U = V )
| memberP(W,U) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax37) ).
tff(c_388,plain,
ssItem('#skF_52'),
inference(cnfTransformation,[status(thm)],[f_1017]) ).
tff(c_390,plain,
'#skF_48' = '#skF_50',
inference(cnfTransformation,[status(thm)],[f_1017]) ).
tff(c_386,plain,
memberP('#skF_48','#skF_52'),
inference(cnfTransformation,[status(thm)],[f_1017]) ).
tff(c_417,plain,
memberP('#skF_50','#skF_52'),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_386]) ).
tff(c_406,plain,
( ssItem('#skF_53')
| ( nil = '#skF_50' ) ),
inference(cnfTransformation,[status(thm)],[f_1017]) ).
tff(c_427,plain,
nil = '#skF_50',
inference(splitLeft,[status(thm)],[c_406]) ).
tff(c_228,plain,
! [U_948] :
( ~ memberP(nil,U_948)
| ~ ssItem(U_948) ),
inference(cnfTransformation,[status(thm)],[f_517]) ).
tff(c_466,plain,
! [U_1171] :
( ~ memberP('#skF_50',U_1171)
| ~ ssItem(U_1171) ),
inference(demodulation,[status(thm),theory(equality)],[c_427,c_228]) ).
tff(c_469,plain,
~ ssItem('#skF_52'),
inference(resolution,[status(thm)],[c_417,c_466]) ).
tff(c_473,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_469]) ).
tff(c_474,plain,
ssItem('#skF_53'),
inference(splitRight,[status(thm)],[c_406]) ).
tff(c_408,plain,
( memberP('#skF_51','#skF_53')
| ( nil = '#skF_51' ) ),
inference(cnfTransformation,[status(thm)],[f_1017]) ).
tff(c_479,plain,
nil = '#skF_51',
inference(splitLeft,[status(thm)],[c_408]) ).
tff(c_475,plain,
nil != '#skF_50',
inference(splitRight,[status(thm)],[c_406]) ).
tff(c_480,plain,
'#skF_51' != '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_479,c_475]) ).
tff(c_402,plain,
( memberP('#skF_51','#skF_53')
| ( nil = '#skF_50' ) ),
inference(cnfTransformation,[status(thm)],[f_1017]) ).
tff(c_495,plain,
( memberP('#skF_51','#skF_53')
| ( '#skF_51' = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_479,c_402]) ).
tff(c_496,plain,
memberP('#skF_51','#skF_53'),
inference(negUnitSimplification,[status(thm)],[c_480,c_495]) ).
tff(c_503,plain,
! [U_1178] :
( ~ memberP('#skF_51',U_1178)
| ~ ssItem(U_1178) ),
inference(demodulation,[status(thm),theory(equality)],[c_479,c_228]) ).
tff(c_506,plain,
~ ssItem('#skF_53'),
inference(resolution,[status(thm)],[c_496,c_503]) ).
tff(c_510,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_474,c_506]) ).
tff(c_511,plain,
memberP('#skF_51','#skF_53'),
inference(splitRight,[status(thm)],[c_408]) ).
tff(c_168,plain,
ssList(nil),
inference(cnfTransformation,[status(thm)],[f_319]) ).
tff(c_512,plain,
nil != '#skF_51',
inference(splitRight,[status(thm)],[c_408]) ).
tff(c_410,plain,
( ( cons('#skF_53',nil) = '#skF_50' )
| ( nil = '#skF_51' ) ),
inference(cnfTransformation,[status(thm)],[f_1017]) ).
tff(c_525,plain,
cons('#skF_53',nil) = '#skF_50',
inference(negUnitSimplification,[status(thm)],[c_512,c_410]) ).
tff(c_17511,plain,
! [W_1608,U_1609,V_1610] :
( memberP(W_1608,U_1609)
| ( V_1610 = U_1609 )
| ~ memberP(cons(V_1610,W_1608),U_1609)
| ~ ssList(W_1608)
| ~ ssItem(V_1610)
| ~ ssItem(U_1609) ),
inference(cnfTransformation,[status(thm)],[f_512]) ).
tff(c_17556,plain,
! [U_1609] :
( memberP(nil,U_1609)
| ( U_1609 = '#skF_53' )
| ~ memberP('#skF_50',U_1609)
| ~ ssList(nil)
| ~ ssItem('#skF_53')
| ~ ssItem(U_1609) ),
inference(superposition,[status(thm),theory(equality)],[c_525,c_17511]) ).
tff(c_17587,plain,
! [U_1617] :
( memberP(nil,U_1617)
| ( U_1617 = '#skF_53' )
| ~ memberP('#skF_50',U_1617)
| ~ ssItem(U_1617) ),
inference(demodulation,[status(thm),theory(equality)],[c_474,c_168,c_17556]) ).
tff(c_17592,plain,
! [U_1618] :
( ( U_1618 = '#skF_53' )
| ~ memberP('#skF_50',U_1618)
| ~ ssItem(U_1618) ),
inference(resolution,[status(thm)],[c_17587,c_228]) ).
tff(c_17598,plain,
( ( '#skF_52' = '#skF_53' )
| ~ ssItem('#skF_52') ),
inference(resolution,[status(thm)],[c_417,c_17592]) ).
tff(c_17605,plain,
'#skF_52' = '#skF_53',
inference(demodulation,[status(thm),theory(equality)],[c_388,c_17598]) ).
tff(c_392,plain,
'#skF_49' = '#skF_51',
inference(cnfTransformation,[status(thm)],[f_1017]) ).
tff(c_384,plain,
~ memberP('#skF_49','#skF_52'),
inference(cnfTransformation,[status(thm)],[f_1017]) ).
tff(c_418,plain,
~ memberP('#skF_51','#skF_52'),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_384]) ).
tff(c_17731,plain,
~ memberP('#skF_51','#skF_53'),
inference(demodulation,[status(thm),theory(equality)],[c_17605,c_418]) ).
tff(c_17736,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_511,c_17731]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWC407+1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.15 % 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
% 0.14/0.36 % Computer : n024.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 21:21:30 EDT 2023
% 0.14/0.37 % CPUTime :
% 17.01/5.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.01/5.61
% 17.01/5.61 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 17.01/5.64
% 17.01/5.64 Inference rules
% 17.01/5.64 ----------------------
% 17.01/5.64 #Ref : 5
% 17.01/5.64 #Sup : 3817
% 17.01/5.64 #Fact : 0
% 17.01/5.64 #Define : 0
% 17.01/5.64 #Split : 24
% 17.01/5.64 #Chain : 0
% 17.01/5.64 #Close : 0
% 17.01/5.64
% 17.01/5.64 Ordering : KBO
% 17.01/5.64
% 17.01/5.64 Simplification rules
% 17.01/5.64 ----------------------
% 17.01/5.64 #Subsume : 547
% 17.01/5.64 #Demod : 3018
% 17.01/5.64 #Tautology : 1005
% 17.01/5.64 #SimpNegUnit : 407
% 17.01/5.64 #BackRed : 56
% 17.01/5.64
% 17.01/5.64 #Partial instantiations: 0
% 17.01/5.64 #Strategies tried : 1
% 17.01/5.64
% 17.01/5.64 Timing (in seconds)
% 17.01/5.64 ----------------------
% 17.01/5.64 Preprocessing : 0.87
% 17.01/5.64 Parsing : 0.40
% 17.01/5.65 CNF conversion : 0.11
% 17.01/5.65 Main loop : 3.72
% 17.01/5.65 Inferencing : 0.98
% 17.01/5.65 Reduction : 1.48
% 17.01/5.65 Demodulation : 1.07
% 17.01/5.65 BG Simplification : 0.10
% 17.01/5.65 Subsumption : 0.89
% 17.01/5.65 Abstraction : 0.09
% 17.01/5.65 MUC search : 0.00
% 17.01/5.65 Cooper : 0.00
% 17.01/5.65 Total : 4.63
% 17.01/5.65 Index Insertion : 0.00
% 17.01/5.65 Index Deletion : 0.00
% 17.01/5.65 Index Matching : 0.00
% 17.01/5.65 BG Taut test : 0.00
%------------------------------------------------------------------------------