TSTP Solution File: SWC372+1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC372+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 : n002.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 11:02:21 EDT 2023
% Result : Theorem 25.81s 11.84s
% Output : CNFRefutation 25.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 80
% Syntax : Number of formulae : 97 ( 13 unt; 76 typ; 0 def)
% Number of atoms : 58 ( 14 equ)
% Maximal formula atoms : 19 ( 2 avg)
% Number of connectives : 58 ( 21 ~; 19 |; 9 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 4 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 : 57 ( 57 usr; 8 con; 0-2 aty)
% Number of variables : 20 (; 14 !; 6 ?; 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_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_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_1028,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( ( V != X )
| ( U != W )
| ! [Y] :
( ssList(Y)
=> ( ( app(W,Y) != X )
| ~ strictorderedP(W)
| ? [Z] :
( ssItem(Z)
& ? [X1] :
( ssList(X1)
& ( app(cons(Z,nil),X1) = Y )
& ? [X2] :
( ssItem(X2)
& ? [X3] :
( ssList(X3)
& ( app(X3,cons(X2,nil)) = W )
& lt(X2,Z) ) ) ) ) ) )
| segmentP(V,U)
| ( ( nil != X )
& ( nil = W ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
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_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(c_396,plain,
'#skF_48' = '#skF_50',
inference(cnfTransformation,[status(thm)],[f_1028]) ).
tff(c_398,plain,
'#skF_49' = '#skF_51',
inference(cnfTransformation,[status(thm)],[f_1028]) ).
tff(c_386,plain,
~ segmentP('#skF_49','#skF_48'),
inference(cnfTransformation,[status(thm)],[f_1028]) ).
tff(c_411,plain,
~ segmentP('#skF_51','#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_396,c_398,c_386]) ).
tff(c_400,plain,
ssList('#skF_51'),
inference(cnfTransformation,[status(thm)],[f_1028]) ).
tff(c_392,plain,
app('#skF_50','#skF_52') = '#skF_51',
inference(cnfTransformation,[status(thm)],[f_1028]) ).
tff(c_394,plain,
ssList('#skF_52'),
inference(cnfTransformation,[status(thm)],[f_1028]) ).
tff(c_402,plain,
ssList('#skF_50'),
inference(cnfTransformation,[status(thm)],[f_1028]) ).
tff(c_445,plain,
! [U_1651] :
( ( app(nil,U_1651) = U_1651 )
| ~ ssList(U_1651) ),
inference(cnfTransformation,[status(thm)],[f_413]) ).
tff(c_461,plain,
app(nil,'#skF_50') = '#skF_50',
inference(resolution,[status(thm)],[c_402,c_445]) ).
tff(c_168,plain,
ssList(nil),
inference(cnfTransformation,[status(thm)],[f_319]) ).
tff(c_27136,plain,
! [W_2380,V_2381,X_2382] :
( segmentP(app(app(W_2380,V_2381),X_2382),V_2381)
| ~ ssList(X_2382)
| ~ ssList(W_2380)
| ~ ssList(V_2381)
| ~ ssList(app(app(W_2380,V_2381),X_2382)) ),
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_27420,plain,
! [X_2382] :
( segmentP(app('#skF_50',X_2382),'#skF_50')
| ~ ssList(X_2382)
| ~ ssList(nil)
| ~ ssList('#skF_50')
| ~ ssList(app(app(nil,'#skF_50'),X_2382)) ),
inference(superposition,[status(thm),theory(equality)],[c_461,c_27136]) ).
tff(c_40004,plain,
! [X_2707] :
( segmentP(app('#skF_50',X_2707),'#skF_50')
| ~ ssList(X_2707)
| ~ ssList(app('#skF_50',X_2707)) ),
inference(demodulation,[status(thm),theory(equality)],[c_461,c_402,c_168,c_27420]) ).
tff(c_40024,plain,
( segmentP('#skF_51','#skF_50')
| ~ ssList('#skF_52')
| ~ ssList(app('#skF_50','#skF_52')) ),
inference(superposition,[status(thm),theory(equality)],[c_392,c_40004]) ).
tff(c_40036,plain,
segmentP('#skF_51','#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_392,c_394,c_40024]) ).
tff(c_40038,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_411,c_40036]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWC372+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.15 % 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
% 0.16/0.37 % Computer : n002.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu Aug 3 21:32:16 EDT 2023
% 0.16/0.37 % CPUTime :
% 25.81/11.84 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.81/11.85
% 25.81/11.85 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 25.94/11.88
% 25.94/11.88 Inference rules
% 25.94/11.88 ----------------------
% 25.94/11.88 #Ref : 5
% 25.94/11.88 #Sup : 8906
% 25.94/11.88 #Fact : 0
% 25.94/11.88 #Define : 0
% 25.94/11.88 #Split : 80
% 25.94/11.88 #Chain : 0
% 25.94/11.88 #Close : 0
% 25.94/11.88
% 25.94/11.88 Ordering : KBO
% 25.94/11.88
% 25.94/11.88 Simplification rules
% 25.94/11.88 ----------------------
% 25.94/11.88 #Subsume : 1476
% 25.94/11.88 #Demod : 7564
% 25.94/11.88 #Tautology : 2096
% 25.94/11.88 #SimpNegUnit : 712
% 25.94/11.88 #BackRed : 210
% 25.94/11.88
% 25.94/11.88 #Partial instantiations: 0
% 25.94/11.88 #Strategies tried : 1
% 25.94/11.88
% 25.94/11.88 Timing (in seconds)
% 25.94/11.88 ----------------------
% 25.94/11.88 Preprocessing : 0.94
% 25.94/11.88 Parsing : 0.44
% 25.94/11.88 CNF conversion : 0.12
% 25.94/11.88 Main loop : 9.78
% 25.94/11.88 Inferencing : 2.30
% 25.94/11.88 Reduction : 3.85
% 25.94/11.88 Demodulation : 2.75
% 25.94/11.88 BG Simplification : 0.14
% 25.94/11.88 Subsumption : 2.69
% 25.94/11.88 Abstraction : 0.14
% 25.94/11.88 MUC search : 0.00
% 25.94/11.88 Cooper : 0.00
% 25.94/11.88 Total : 10.77
% 25.94/11.88 Index Insertion : 0.00
% 25.94/11.88 Index Deletion : 0.00
% 25.94/11.88 Index Matching : 0.00
% 25.94/11.88 BG Taut test : 0.00
%------------------------------------------------------------------------------