TSTP Solution File: SWC021+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC021+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 : n006.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 11:00:47 EDT 2023
% Result : Theorem 20.24s 7.86s
% Output : CNFRefutation 20.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 93
% Syntax : Number of formulae : 181 ( 34 unt; 75 typ; 0 def)
% Number of atoms : 274 ( 80 equ)
% Maximal formula atoms : 19 ( 2 avg)
% Number of connectives : 292 ( 124 ~; 120 |; 13 &)
% ( 5 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 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 : 56 ( 56 usr; 7 con; 0-2 aty)
% Number of variables : 74 (; 68 !; 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_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_1024,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( ( V != X )
| ( U != W )
| ~ frontsegP(X,W)
| ~ strictorderedP(W)
| ? [Y] :
( ssList(Y)
& neq(Y,nil)
& frontsegP(V,Y)
& frontsegP(U,Y) )
| ? [Z] :
( ssList(Z)
& neq(W,Z)
& frontsegP(X,Z)
& segmentP(Z,W)
& strictorderedP(Z) )
| ( ( nil = V )
& ( nil = U ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f_548,axiom,
! [U] :
( ssList(U)
=> frontsegP(U,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax42) ).
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_519,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax39) ).
tff(f_371,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ssItem(hd(U)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax22) ).
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_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_413,axiom,
! [U] :
( ssList(U)
=> ( app(nil,U) = U ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).
tff(f_108,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( frontsegP(U,V)
<=> ? [W] :
( ssList(W)
& ( app(V,W) = U ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax5) ).
tff(f_732,axiom,
! [U] :
( ssItem(U)
=> strictorderedP(cons(U,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax68) ).
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_577,axiom,
! [U] :
( ssItem(U)
=> ! [V] :
( ssItem(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( frontsegP(cons(U,W),cons(V,X))
<=> ( ( U = V )
& frontsegP(W,X) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax44) ).
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(f_686,axiom,
! [U] :
( ssList(U)
=> segmentP(U,nil) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax57) ).
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_319,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
tff(f_587,axiom,
! [U] :
( ssList(U)
=> ( frontsegP(nil,U)
<=> ( nil = U ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax46) ).
tff(c_400,plain,
ssList('#skF_50'),
inference(cnfTransformation,[status(thm)],[f_1024]) ).
tff(c_236,plain,
! [U_959] :
( frontsegP(U_959,U_959)
| ~ ssList(U_959) ),
inference(cnfTransformation,[status(thm)],[f_548]) ).
tff(c_1005,plain,
! [U_1238] :
( ( hd(U_1238) = '#skF_46'(U_1238) )
| ( nil = U_1238 )
| ~ ssList(U_1238) ),
inference(cnfTransformation,[status(thm)],[f_769]) ).
tff(c_1116,plain,
( ( hd('#skF_50') = '#skF_46'('#skF_50') )
| ( nil = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_400,c_1005]) ).
tff(c_1127,plain,
nil = '#skF_50',
inference(splitLeft,[status(thm)],[c_1116]) ).
tff(c_230,plain,
~ singletonP(nil),
inference(cnfTransformation,[status(thm)],[f_519]) ).
tff(c_1164,plain,
~ singletonP('#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_1127,c_230]) ).
tff(c_396,plain,
'#skF_49' = '#skF_51',
inference(cnfTransformation,[status(thm)],[f_1024]) ).
tff(c_394,plain,
'#skF_48' = '#skF_50',
inference(cnfTransformation,[status(thm)],[f_1024]) ).
tff(c_384,plain,
( ( nil != '#skF_48' )
| ( nil != '#skF_49' ) ),
inference(cnfTransformation,[status(thm)],[f_1024]) ).
tff(c_410,plain,
( ( nil != '#skF_50' )
| ( nil != '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_396,c_394,c_384]) ).
tff(c_419,plain,
nil != '#skF_51',
inference(splitLeft,[status(thm)],[c_410]) ).
tff(c_398,plain,
ssList('#skF_51'),
inference(cnfTransformation,[status(thm)],[f_1024]) ).
tff(c_1083,plain,
( ( hd('#skF_51') = '#skF_46'('#skF_51') )
| ( nil = '#skF_51' ) ),
inference(resolution,[status(thm)],[c_398,c_1005]) ).
tff(c_1115,plain,
hd('#skF_51') = '#skF_46'('#skF_51'),
inference(negUnitSimplification,[status(thm)],[c_419,c_1083]) ).
tff(c_184,plain,
! [U_888] :
( ssItem(hd(U_888))
| ( nil = U_888 )
| ~ ssList(U_888) ),
inference(cnfTransformation,[status(thm)],[f_371]) ).
tff(c_1120,plain,
( ssItem('#skF_46'('#skF_51'))
| ( nil = '#skF_51' )
| ~ ssList('#skF_51') ),
inference(superposition,[status(thm),theory(equality)],[c_1115,c_184]) ).
tff(c_1124,plain,
( ssItem('#skF_46'('#skF_51'))
| ( nil = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_398,c_1120]) ).
tff(c_1125,plain,
ssItem('#skF_46'('#skF_51')),
inference(negUnitSimplification,[status(thm)],[c_419,c_1124]) ).
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_1157,plain,
'#skF_51' != '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_1127,c_419]) ).
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_1175,plain,
! [U_1239] :
( ( tl(U_1239) = '#skF_47'(U_1239) )
| ( U_1239 = '#skF_50' )
| ~ ssList(U_1239) ),
inference(demodulation,[status(thm),theory(equality)],[c_1127,c_334]) ).
tff(c_1266,plain,
( ( tl('#skF_51') = '#skF_47'('#skF_51') )
| ( '#skF_51' = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_398,c_1175]) ).
tff(c_1273,plain,
tl('#skF_51') = '#skF_47'('#skF_51'),
inference(negUnitSimplification,[status(thm)],[c_1157,c_1266]) ).
tff(c_188,plain,
! [U_892] :
( ssList(tl(U_892))
| ( nil = U_892 )
| ~ ssList(U_892) ),
inference(cnfTransformation,[status(thm)],[f_385]) ).
tff(c_1533,plain,
! [U_1259] :
( ssList(tl(U_1259))
| ( U_1259 = '#skF_50' )
| ~ ssList(U_1259) ),
inference(demodulation,[status(thm),theory(equality)],[c_1127,c_188]) ).
tff(c_1551,plain,
( ssList('#skF_47'('#skF_51'))
| ( '#skF_51' = '#skF_50' )
| ~ ssList('#skF_51') ),
inference(superposition,[status(thm),theory(equality)],[c_1273,c_1533]) ).
tff(c_1558,plain,
( ssList('#skF_47'('#skF_51'))
| ( '#skF_51' = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_398,c_1551]) ).
tff(c_1559,plain,
ssList('#skF_47'('#skF_51')),
inference(negUnitSimplification,[status(thm)],[c_1157,c_1558]) ).
tff(c_196,plain,
! [U_906] :
( ( app(nil,U_906) = U_906 )
| ~ ssList(U_906) ),
inference(cnfTransformation,[status(thm)],[f_413]) ).
tff(c_1145,plain,
! [U_906] :
( ( app('#skF_50',U_906) = U_906 )
| ~ ssList(U_906) ),
inference(demodulation,[status(thm),theory(equality)],[c_1127,c_196]) ).
tff(c_1576,plain,
app('#skF_50','#skF_47'('#skF_51')) = '#skF_47'('#skF_51'),
inference(resolution,[status(thm)],[c_1559,c_1145]) ).
tff(c_6042,plain,
! [V_1454,W_1455] :
( frontsegP(app(V_1454,W_1455),V_1454)
| ~ ssList(W_1455)
| ~ ssList(V_1454)
| ~ ssList(app(V_1454,W_1455)) ),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_6200,plain,
( frontsegP('#skF_47'('#skF_51'),'#skF_50')
| ~ ssList('#skF_47'('#skF_51'))
| ~ ssList('#skF_50')
| ~ ssList(app('#skF_50','#skF_47'('#skF_51'))) ),
inference(superposition,[status(thm),theory(equality)],[c_1576,c_6042]) ).
tff(c_6315,plain,
frontsegP('#skF_47'('#skF_51'),'#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_1559,c_1576,c_400,c_1559,c_6200]) ).
tff(c_307,plain,
! [U_1039] :
( strictorderedP(cons(U_1039,nil))
| ~ ssItem(U_1039) ),
inference(cnfTransformation,[status(thm)],[f_732]) ).
tff(c_1142,plain,
! [U_1039] :
( strictorderedP(cons(U_1039,'#skF_50'))
| ~ ssItem(U_1039) ),
inference(demodulation,[status(thm),theory(equality)],[c_1127,c_307]) ).
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_3193,plain,
! [U_1348] :
( ( cons(hd(U_1348),tl(U_1348)) = U_1348 )
| ( U_1348 = '#skF_50' )
| ~ ssList(U_1348) ),
inference(demodulation,[status(thm),theory(equality)],[c_1127,c_340]) ).
tff(c_3233,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_1115,c_3193]) ).
tff(c_3248,plain,
( ( cons('#skF_46'('#skF_51'),'#skF_47'('#skF_51')) = '#skF_51' )
| ( '#skF_51' = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_398,c_1273,c_3233]) ).
tff(c_3249,plain,
cons('#skF_46'('#skF_51'),'#skF_47'('#skF_51')) = '#skF_51',
inference(negUnitSimplification,[status(thm)],[c_1157,c_3248]) ).
tff(c_12322,plain,
! [V_1676,W_1677,X_1678] :
( frontsegP(cons(V_1676,W_1677),cons(V_1676,X_1678))
| ~ frontsegP(W_1677,X_1678)
| ~ ssList(X_1678)
| ~ ssList(W_1677)
| ~ ssItem(V_1676) ),
inference(cnfTransformation,[status(thm)],[f_577]) ).
tff(c_12341,plain,
! [X_1678] :
( frontsegP('#skF_51',cons('#skF_46'('#skF_51'),X_1678))
| ~ frontsegP('#skF_47'('#skF_51'),X_1678)
| ~ ssList(X_1678)
| ~ ssList('#skF_47'('#skF_51'))
| ~ ssItem('#skF_46'('#skF_51')) ),
inference(superposition,[status(thm),theory(equality)],[c_3249,c_12322]) ).
tff(c_24463,plain,
! [X_2031] :
( frontsegP('#skF_51',cons('#skF_46'('#skF_51'),X_2031))
| ~ frontsegP('#skF_47'('#skF_51'),X_2031)
| ~ ssList(X_2031) ),
inference(demodulation,[status(thm),theory(equality)],[c_1125,c_1559,c_12341]) ).
tff(c_1598,plain,
! [U_1260,V_1261] :
( neq(U_1260,V_1261)
| ( V_1261 = U_1260 )
| ~ ssList(V_1261)
| ~ ssList(U_1260) ),
inference(cnfTransformation,[status(thm)],[f_311]) ).
tff(c_274,plain,
! [U_1030] :
( segmentP(U_1030,nil)
| ~ ssList(U_1030) ),
inference(cnfTransformation,[status(thm)],[f_686]) ).
tff(c_1317,plain,
! [U_1243] :
( segmentP(U_1243,'#skF_50')
| ~ ssList(U_1243) ),
inference(demodulation,[status(thm),theory(equality)],[c_1127,c_274]) ).
tff(c_386,plain,
! [Z_1164] :
( ~ strictorderedP(Z_1164)
| ~ segmentP(Z_1164,'#skF_50')
| ~ frontsegP('#skF_51',Z_1164)
| ~ neq('#skF_50',Z_1164)
| ~ ssList(Z_1164) ),
inference(cnfTransformation,[status(thm)],[f_1024]) ).
tff(c_1321,plain,
! [U_1243] :
( ~ strictorderedP(U_1243)
| ~ frontsegP('#skF_51',U_1243)
| ~ neq('#skF_50',U_1243)
| ~ ssList(U_1243) ),
inference(resolution,[status(thm)],[c_1317,c_386]) ).
tff(c_1606,plain,
! [V_1261] :
( ~ strictorderedP(V_1261)
| ~ frontsegP('#skF_51',V_1261)
| ( V_1261 = '#skF_50' )
| ~ ssList(V_1261)
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_1598,c_1321]) ).
tff(c_1623,plain,
! [V_1261] :
( ~ strictorderedP(V_1261)
| ~ frontsegP('#skF_51',V_1261)
| ( V_1261 = '#skF_50' )
| ~ ssList(V_1261) ),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_1606]) ).
tff(c_24585,plain,
! [X_2037] :
( ~ strictorderedP(cons('#skF_46'('#skF_51'),X_2037))
| ( cons('#skF_46'('#skF_51'),X_2037) = '#skF_50' )
| ~ ssList(cons('#skF_46'('#skF_51'),X_2037))
| ~ frontsegP('#skF_47'('#skF_51'),X_2037)
| ~ ssList(X_2037) ),
inference(resolution,[status(thm)],[c_24463,c_1623]) ).
tff(c_24602,plain,
( ( cons('#skF_46'('#skF_51'),'#skF_50') = '#skF_50' )
| ~ ssList(cons('#skF_46'('#skF_51'),'#skF_50'))
| ~ frontsegP('#skF_47'('#skF_51'),'#skF_50')
| ~ ssList('#skF_50')
| ~ ssItem('#skF_46'('#skF_51')) ),
inference(resolution,[status(thm)],[c_1142,c_24585]) ).
tff(c_24614,plain,
( ( cons('#skF_46'('#skF_51'),'#skF_50') = '#skF_50' )
| ~ ssList(cons('#skF_46'('#skF_51'),'#skF_50')) ),
inference(demodulation,[status(thm),theory(equality)],[c_1125,c_400,c_6315,c_24602]) ).
tff(c_24615,plain,
~ ssList(cons('#skF_46'('#skF_51'),'#skF_50')),
inference(splitLeft,[status(thm)],[c_24614]) ).
tff(c_24618,plain,
( ~ ssItem('#skF_46'('#skF_51'))
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_166,c_24615]) ).
tff(c_24622,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_400,c_1125,c_24618]) ).
tff(c_24623,plain,
cons('#skF_46'('#skF_51'),'#skF_50') = '#skF_50',
inference(splitRight,[status(thm)],[c_24614]) ).
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_2137,plain,
! [V_1297] :
( singletonP(cons(V_1297,'#skF_50'))
| ~ ssItem(V_1297)
| ~ ssList(cons(V_1297,'#skF_50')) ),
inference(demodulation,[status(thm),theory(equality)],[c_1127,c_1127,c_20]) ).
tff(c_2144,plain,
! [V_861] :
( singletonP(cons(V_861,'#skF_50'))
| ~ ssItem(V_861)
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_166,c_2137]) ).
tff(c_2147,plain,
! [V_861] :
( singletonP(cons(V_861,'#skF_50'))
| ~ ssItem(V_861) ),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_2144]) ).
tff(c_24840,plain,
( singletonP('#skF_50')
| ~ ssItem('#skF_46'('#skF_51')) ),
inference(superposition,[status(thm),theory(equality)],[c_24623,c_2147]) ).
tff(c_24966,plain,
singletonP('#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_1125,c_24840]) ).
tff(c_24968,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1164,c_24966]) ).
tff(c_24970,plain,
nil != '#skF_50',
inference(splitRight,[status(thm)],[c_1116]) ).
tff(c_392,plain,
frontsegP('#skF_51','#skF_50'),
inference(cnfTransformation,[status(thm)],[f_1024]) ).
tff(c_168,plain,
ssList(nil),
inference(cnfTransformation,[status(thm)],[f_319]) ).
tff(c_25395,plain,
! [U_2060,V_2061] :
( neq(U_2060,V_2061)
| ( V_2061 = U_2060 )
| ~ ssList(V_2061)
| ~ ssList(U_2060) ),
inference(cnfTransformation,[status(thm)],[f_311]) ).
tff(c_388,plain,
! [Y_1163] :
( ~ frontsegP('#skF_48',Y_1163)
| ~ frontsegP('#skF_49',Y_1163)
| ~ neq(Y_1163,nil)
| ~ ssList(Y_1163) ),
inference(cnfTransformation,[status(thm)],[f_1024]) ).
tff(c_409,plain,
! [Y_1163] :
( ~ frontsegP('#skF_50',Y_1163)
| ~ frontsegP('#skF_51',Y_1163)
| ~ neq(Y_1163,nil)
| ~ ssList(Y_1163) ),
inference(demodulation,[status(thm),theory(equality)],[c_396,c_394,c_388]) ).
tff(c_25406,plain,
! [U_2060] :
( ~ frontsegP('#skF_50',U_2060)
| ~ frontsegP('#skF_51',U_2060)
| ( nil = U_2060 )
| ~ ssList(nil)
| ~ ssList(U_2060) ),
inference(resolution,[status(thm)],[c_25395,c_409]) ).
tff(c_26001,plain,
! [U_2078] :
( ~ frontsegP('#skF_50',U_2078)
| ~ frontsegP('#skF_51',U_2078)
| ( nil = U_2078 )
| ~ ssList(U_2078) ),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_25406]) ).
tff(c_26012,plain,
( ~ frontsegP('#skF_50','#skF_50')
| ( nil = '#skF_50' )
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_392,c_26001]) ).
tff(c_26023,plain,
( ~ frontsegP('#skF_50','#skF_50')
| ( nil = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_26012]) ).
tff(c_26024,plain,
~ frontsegP('#skF_50','#skF_50'),
inference(negUnitSimplification,[status(thm)],[c_24970,c_26023]) ).
tff(c_26027,plain,
~ ssList('#skF_50'),
inference(resolution,[status(thm)],[c_236,c_26024]) ).
tff(c_26031,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_400,c_26027]) ).
tff(c_26033,plain,
nil = '#skF_51',
inference(splitRight,[status(thm)],[c_410]) ).
tff(c_26032,plain,
nil != '#skF_50',
inference(splitRight,[status(thm)],[c_410]) ).
tff(c_26034,plain,
'#skF_51' != '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_26033,c_26032]) ).
tff(c_250,plain,
! [U_983] :
( ( nil = U_983 )
| ~ frontsegP(nil,U_983)
| ~ ssList(U_983) ),
inference(cnfTransformation,[status(thm)],[f_587]) ).
tff(c_26352,plain,
! [U_2139] :
( ( U_2139 = '#skF_51' )
| ~ frontsegP('#skF_51',U_2139)
| ~ ssList(U_2139) ),
inference(demodulation,[status(thm),theory(equality)],[c_26033,c_26033,c_250]) ).
tff(c_26363,plain,
( ( '#skF_51' = '#skF_50' )
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_392,c_26352]) ).
tff(c_26374,plain,
'#skF_51' = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_400,c_26363]) ).
tff(c_26376,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26034,c_26374]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWC021+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 : n006.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 21:27:43 EDT 2023
% 0.15/0.36 % CPUTime :
% 20.24/7.86 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.24/7.88
% 20.24/7.88 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 20.43/7.92
% 20.43/7.92 Inference rules
% 20.43/7.92 ----------------------
% 20.43/7.92 #Ref : 5
% 20.43/7.92 #Sup : 5738
% 20.43/7.92 #Fact : 0
% 20.43/7.92 #Define : 0
% 20.43/7.92 #Split : 40
% 20.43/7.92 #Chain : 0
% 20.43/7.92 #Close : 0
% 20.43/7.92
% 20.43/7.92 Ordering : KBO
% 20.43/7.92
% 20.43/7.92 Simplification rules
% 20.43/7.92 ----------------------
% 20.43/7.92 #Subsume : 897
% 20.43/7.92 #Demod : 4301
% 20.43/7.92 #Tautology : 1456
% 20.43/7.92 #SimpNegUnit : 421
% 20.43/7.92 #BackRed : 86
% 20.43/7.92
% 20.43/7.92 #Partial instantiations: 0
% 20.43/7.92 #Strategies tried : 1
% 20.43/7.92
% 20.43/7.92 Timing (in seconds)
% 20.43/7.92 ----------------------
% 20.43/7.92 Preprocessing : 0.89
% 20.43/7.92 Parsing : 0.42
% 20.43/7.92 CNF conversion : 0.11
% 20.43/7.92 Main loop : 5.87
% 20.43/7.92 Inferencing : 1.55
% 20.43/7.92 Reduction : 2.15
% 20.43/7.92 Demodulation : 1.53
% 20.43/7.92 BG Simplification : 0.12
% 20.43/7.92 Subsumption : 1.52
% 20.43/7.92 Abstraction : 0.11
% 20.43/7.92 MUC search : 0.00
% 20.43/7.92 Cooper : 0.00
% 20.43/7.92 Total : 6.84
% 20.43/7.92 Index Insertion : 0.00
% 20.43/7.92 Index Deletion : 0.00
% 20.43/7.92 Index Matching : 0.00
% 20.43/7.92 BG Taut test : 0.00
%------------------------------------------------------------------------------