TSTP Solution File: SWC421+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC421+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 : n032.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 11:02:36 EDT 2023
% Result : Theorem 12.26s 3.75s
% Output : CNFRefutation 12.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 88
% Syntax : Number of formulae : 199 ( 66 unt; 75 typ; 0 def)
% Number of atoms : 267 ( 103 equ)
% Maximal formula atoms : 27 ( 2 avg)
% Number of connectives : 267 ( 124 ~; 100 |; 18 &)
% ( 1 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 3 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 : 56 ( 56 usr; 7 con; 0-2 aty)
% Number of variables : 57 (; 48 !; 9 ?; 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_1047,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)
& ? [X1] :
( ssList(X1)
& ( app(app(Z,cons(Y,nil)),X1) = V )
& ( app(app(X1,cons(Y,nil)),Z) = U ) ) ) )
| ( ( nil != W )
& ( nil = X ) )
| ( neq(X,nil)
& ( ~ neq(W,nil)
| ? [X2] :
( ssList(X2)
& ( X != X2 )
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& ( tl(W) = X3 )
& ( app(X3,X4) = X2 )
& ? [X5] :
( ssItem(X5)
& ( cons(X5,nil) = X4 )
& ( hd(W) = X5 )
& neq(nil,W) )
& neq(nil,W) ) ) ) ) ) ) ) ) ) ),
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_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_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_319,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
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_399,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ssList(app(U,V)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax26) ).
tff(f_859,axiom,
! [U] :
( ssList(U)
=> ( app(U,nil) = U ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax84) ).
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_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_413,axiom,
! [U] :
( ssList(U)
=> ( app(nil,U) = U ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).
tff(c_396,plain,
ssList('#skF_50'),
inference(cnfTransformation,[status(thm)],[f_1047]) ).
tff(c_3679,plain,
! [U_1702] :
( ( hd(U_1702) = '#skF_46'(U_1702) )
| ( nil = U_1702 )
| ~ ssList(U_1702) ),
inference(cnfTransformation,[status(thm)],[f_769]) ).
tff(c_3793,plain,
( ( hd('#skF_50') = '#skF_46'('#skF_50') )
| ( nil = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_396,c_3679]) ).
tff(c_3810,plain,
nil = '#skF_50',
inference(splitLeft,[status(thm)],[c_3793]) ).
tff(c_392,plain,
'#skF_49' = '#skF_51',
inference(cnfTransformation,[status(thm)],[f_1047]) ).
tff(c_388,plain,
neq('#skF_49',nil),
inference(cnfTransformation,[status(thm)],[f_1047]) ).
tff(c_409,plain,
neq('#skF_51',nil),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_388]) ).
tff(c_404,plain,
( neq('#skF_50',nil)
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1047]) ).
tff(c_411,plain,
neq('#skF_50',nil),
inference(demodulation,[status(thm),theory(equality)],[c_409,c_404]) ).
tff(c_3850,plain,
neq('#skF_50','#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_3810,c_411]) ).
tff(c_164,plain,
! [V_858] :
( ~ neq(V_858,V_858)
| ~ ssList(V_858) ),
inference(cnfTransformation,[status(thm)],[f_311]) ).
tff(c_3968,plain,
~ ssList('#skF_50'),
inference(resolution,[status(thm)],[c_3850,c_164]) ).
tff(c_3973,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_396,c_3968]) ).
tff(c_3975,plain,
nil != '#skF_50',
inference(splitRight,[status(thm)],[c_3793]) ).
tff(c_4008,plain,
! [U_1706] :
( ( tl(U_1706) = '#skF_47'(U_1706) )
| ( nil = U_1706 )
| ~ ssList(U_1706) ),
inference(cnfTransformation,[status(thm)],[f_779]) ).
tff(c_4086,plain,
( ( tl('#skF_50') = '#skF_47'('#skF_50') )
| ( nil = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_396,c_4008]) ).
tff(c_4120,plain,
tl('#skF_50') = '#skF_47'('#skF_50'),
inference(negUnitSimplification,[status(thm)],[c_3975,c_4086]) ).
tff(c_188,plain,
! [U_892] :
( ssList(tl(U_892))
| ( nil = U_892 )
| ~ ssList(U_892) ),
inference(cnfTransformation,[status(thm)],[f_385]) ).
tff(c_2047,plain,
! [U_1630] :
( ( tl(U_1630) = '#skF_47'(U_1630) )
| ( nil = U_1630 )
| ~ ssList(U_1630) ),
inference(cnfTransformation,[status(thm)],[f_779]) ).
tff(c_2161,plain,
( ( tl('#skF_50') = '#skF_47'('#skF_50') )
| ( nil = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_396,c_2047]) ).
tff(c_2193,plain,
nil = '#skF_50',
inference(splitLeft,[status(thm)],[c_2161]) ).
tff(c_2353,plain,
neq('#skF_50','#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_2193,c_411]) ).
tff(c_2479,plain,
~ ssList('#skF_50'),
inference(resolution,[status(thm)],[c_2353,c_164]) ).
tff(c_2484,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_396,c_2479]) ).
tff(c_2486,plain,
nil != '#skF_50',
inference(splitRight,[status(thm)],[c_2161]) ).
tff(c_168,plain,
ssList(nil),
inference(cnfTransformation,[status(thm)],[f_319]) ).
tff(c_2925,plain,
! [U_1643,V_1644] :
( neq(U_1643,V_1644)
| ( V_1644 = U_1643 )
| ~ ssList(V_1644)
| ~ ssList(U_1643) ),
inference(cnfTransformation,[status(thm)],[f_311]) ).
tff(c_1017,plain,
! [U_1560] :
( ( tl(U_1560) = '#skF_47'(U_1560) )
| ( nil = U_1560 )
| ~ ssList(U_1560) ),
inference(cnfTransformation,[status(thm)],[f_779]) ).
tff(c_1127,plain,
( ( tl('#skF_50') = '#skF_47'('#skF_50') )
| ( nil = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_396,c_1017]) ).
tff(c_1159,plain,
nil = '#skF_50',
inference(splitLeft,[status(thm)],[c_1127]) ).
tff(c_1218,plain,
neq('#skF_50','#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_1159,c_411]) ).
tff(c_1240,plain,
~ ssList('#skF_50'),
inference(resolution,[status(thm)],[c_1218,c_164]) ).
tff(c_1245,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_396,c_1240]) ).
tff(c_1247,plain,
nil != '#skF_50',
inference(splitRight,[status(thm)],[c_1127]) ).
tff(c_184,plain,
! [U_888] :
( ssItem(hd(U_888))
| ( nil = U_888 )
| ~ ssList(U_888) ),
inference(cnfTransformation,[status(thm)],[f_371]) ).
tff(c_1438,plain,
! [V_1566,U_1567] :
( ssList(cons(V_1566,U_1567))
| ~ ssItem(V_1566)
| ~ ssList(U_1567) ),
inference(cnfTransformation,[status(thm)],[f_318]) ).
tff(c_875,plain,
! [U_1554,V_1555] :
( ssList(app(U_1554,V_1555))
| ~ ssList(V_1555)
| ~ ssList(U_1554) ),
inference(cnfTransformation,[status(thm)],[f_399]) ).
tff(c_402,plain,
( ~ neq(nil,'#skF_50')
| ~ ssItem(hd('#skF_50'))
| ~ ssList(cons(hd('#skF_50'),nil))
| ~ ssList(tl('#skF_50'))
| ( app(tl('#skF_50'),cons(hd('#skF_50'),nil)) = '#skF_51' )
| ~ ssList(app(tl('#skF_50'),cons(hd('#skF_50'),nil)))
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1047]) ).
tff(c_413,plain,
( ~ neq(nil,'#skF_50')
| ~ ssItem(hd('#skF_50'))
| ~ ssList(cons(hd('#skF_50'),nil))
| ~ ssList(tl('#skF_50'))
| ( app(tl('#skF_50'),cons(hd('#skF_50'),nil)) = '#skF_51' )
| ~ ssList(app(tl('#skF_50'),cons(hd('#skF_50'),nil))) ),
inference(demodulation,[status(thm),theory(equality)],[c_409,c_402]) ).
tff(c_464,plain,
~ ssList(app(tl('#skF_50'),cons(hd('#skF_50'),nil))),
inference(splitLeft,[status(thm)],[c_413]) ).
tff(c_904,plain,
( ~ ssList(cons(hd('#skF_50'),nil))
| ~ ssList(tl('#skF_50')) ),
inference(resolution,[status(thm)],[c_875,c_464]) ).
tff(c_918,plain,
~ ssList(tl('#skF_50')),
inference(splitLeft,[status(thm)],[c_904]) ).
tff(c_921,plain,
( ( nil = '#skF_50' )
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_188,c_918]) ).
tff(c_924,plain,
nil = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_396,c_921]) ).
tff(c_956,plain,
neq('#skF_50','#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_924,c_411]) ).
tff(c_977,plain,
~ ssList('#skF_50'),
inference(resolution,[status(thm)],[c_956,c_164]) ).
tff(c_982,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_396,c_977]) ).
tff(c_983,plain,
~ ssList(cons(hd('#skF_50'),nil)),
inference(splitRight,[status(thm)],[c_904]) ).
tff(c_1447,plain,
( ~ ssItem(hd('#skF_50'))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_1438,c_983]) ).
tff(c_1461,plain,
~ ssItem(hd('#skF_50')),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_1447]) ).
tff(c_1468,plain,
( ( nil = '#skF_50' )
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_184,c_1461]) ).
tff(c_1471,plain,
nil = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_396,c_1468]) ).
tff(c_1473,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1247,c_1471]) ).
tff(c_1474,plain,
( ~ ssList(tl('#skF_50'))
| ~ ssList(cons(hd('#skF_50'),nil))
| ~ ssItem(hd('#skF_50'))
| ~ neq(nil,'#skF_50')
| ( app(tl('#skF_50'),cons(hd('#skF_50'),nil)) = '#skF_51' ) ),
inference(splitRight,[status(thm)],[c_413]) ).
tff(c_1538,plain,
~ neq(nil,'#skF_50'),
inference(splitLeft,[status(thm)],[c_1474]) ).
tff(c_2928,plain,
( ( nil = '#skF_50' )
| ~ ssList('#skF_50')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_2925,c_1538]) ).
tff(c_2939,plain,
nil = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_168,c_396,c_2928]) ).
tff(c_2941,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2486,c_2939]) ).
tff(c_2942,plain,
( ~ ssItem(hd('#skF_50'))
| ~ ssList(cons(hd('#skF_50'),nil))
| ~ ssList(tl('#skF_50'))
| ( app(tl('#skF_50'),cons(hd('#skF_50'),nil)) = '#skF_51' ) ),
inference(splitRight,[status(thm)],[c_1474]) ).
tff(c_3083,plain,
~ ssList(tl('#skF_50')),
inference(splitLeft,[status(thm)],[c_2942]) ).
tff(c_3086,plain,
( ( nil = '#skF_50' )
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_188,c_3083]) ).
tff(c_3089,plain,
nil = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_396,c_3086]) ).
tff(c_3121,plain,
neq('#skF_50','#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_3089,c_411]) ).
tff(c_3143,plain,
~ ssList('#skF_50'),
inference(resolution,[status(thm)],[c_3121,c_164]) ).
tff(c_3148,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_396,c_3143]) ).
tff(c_3150,plain,
ssList(tl('#skF_50')),
inference(splitRight,[status(thm)],[c_2942]) ).
tff(c_4149,plain,
ssList('#skF_47'('#skF_50')),
inference(demodulation,[status(thm),theory(equality)],[c_4120,c_3150]) ).
tff(c_3974,plain,
hd('#skF_50') = '#skF_46'('#skF_50'),
inference(splitRight,[status(thm)],[c_3793]) ).
tff(c_1475,plain,
ssList(app(tl('#skF_50'),cons(hd('#skF_50'),nil))),
inference(splitRight,[status(thm)],[c_413]) ).
tff(c_356,plain,
! [U_1080] :
( ( app(U_1080,nil) = U_1080 )
| ~ ssList(U_1080) ),
inference(cnfTransformation,[status(thm)],[f_859]) ).
tff(c_1481,plain,
app(app(tl('#skF_50'),cons(hd('#skF_50'),nil)),nil) = app(tl('#skF_50'),cons(hd('#skF_50'),nil)),
inference(resolution,[status(thm)],[c_1475,c_356]) ).
tff(c_390,plain,
'#skF_48' = '#skF_50',
inference(cnfTransformation,[status(thm)],[f_1047]) ).
tff(c_386,plain,
! [X1_1469,Y_1463,Z_1467] :
( ( app(app(X1_1469,cons(Y_1463,nil)),Z_1467) != '#skF_48' )
| ( app(app(Z_1467,cons(Y_1463,nil)),X1_1469) != '#skF_49' )
| ~ ssList(X1_1469)
| ~ ssList(Z_1467)
| ~ ssItem(Y_1463) ),
inference(cnfTransformation,[status(thm)],[f_1047]) ).
tff(c_414,plain,
! [X1_1469,Y_1463,Z_1467] :
( ( app(app(X1_1469,cons(Y_1463,nil)),Z_1467) != '#skF_50' )
| ( app(app(Z_1467,cons(Y_1463,nil)),X1_1469) != '#skF_51' )
| ~ ssList(X1_1469)
| ~ ssList(Z_1467)
| ~ ssItem(Y_1463) ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_390,c_386]) ).
tff(c_3020,plain,
( ( app(tl('#skF_50'),cons(hd('#skF_50'),nil)) != '#skF_50' )
| ( app(app(nil,cons(hd('#skF_50'),nil)),tl('#skF_50')) != '#skF_51' )
| ~ ssList(tl('#skF_50'))
| ~ ssList(nil)
| ~ ssItem(hd('#skF_50')) ),
inference(superposition,[status(thm),theory(equality)],[c_1481,c_414]) ).
tff(c_3024,plain,
( ( app(tl('#skF_50'),cons(hd('#skF_50'),nil)) != '#skF_50' )
| ( app(app(nil,cons(hd('#skF_50'),nil)),tl('#skF_50')) != '#skF_51' )
| ~ ssList(tl('#skF_50'))
| ~ ssItem(hd('#skF_50')) ),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_3020]) ).
tff(c_3203,plain,
( ( app(tl('#skF_50'),cons(hd('#skF_50'),nil)) != '#skF_50' )
| ( app(app(nil,cons(hd('#skF_50'),nil)),tl('#skF_50')) != '#skF_51' )
| ~ ssItem(hd('#skF_50')) ),
inference(demodulation,[status(thm),theory(equality)],[c_3150,c_3024]) ).
tff(c_3204,plain,
~ ssItem(hd('#skF_50')),
inference(splitLeft,[status(thm)],[c_3203]) ).
tff(c_3207,plain,
( ( nil = '#skF_50' )
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_184,c_3204]) ).
tff(c_3210,plain,
nil = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_396,c_3207]) ).
tff(c_3245,plain,
neq('#skF_50','#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_3210,c_411]) ).
tff(c_3266,plain,
~ ssList('#skF_50'),
inference(resolution,[status(thm)],[c_3245,c_164]) ).
tff(c_3271,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_396,c_3266]) ).
tff(c_3273,plain,
ssItem(hd('#skF_50')),
inference(splitRight,[status(thm)],[c_3203]) ).
tff(c_3977,plain,
ssItem('#skF_46'('#skF_50')),
inference(demodulation,[status(thm),theory(equality)],[c_3974,c_3273]) ).
tff(c_6125,plain,
! [U_1798] :
( ( cons(hd(U_1798),tl(U_1798)) = U_1798 )
| ( nil = U_1798 )
| ~ ssList(U_1798) ),
inference(cnfTransformation,[status(thm)],[f_803]) ).
tff(c_6168,plain,
( ( cons('#skF_46'('#skF_50'),tl('#skF_50')) = '#skF_50' )
| ( nil = '#skF_50' )
| ~ ssList('#skF_50') ),
inference(superposition,[status(thm),theory(equality)],[c_3974,c_6125]) ).
tff(c_6189,plain,
( ( cons('#skF_46'('#skF_50'),'#skF_47'('#skF_50')) = '#skF_50' )
| ( nil = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_396,c_4120,c_6168]) ).
tff(c_6190,plain,
cons('#skF_46'('#skF_50'),'#skF_47'('#skF_50')) = '#skF_50',
inference(negUnitSimplification,[status(thm)],[c_3975,c_6189]) ).
tff(c_8983,plain,
! [V_1917,U_1918] :
( ( app(cons(V_1917,nil),U_1918) = cons(V_1917,U_1918) )
| ~ ssItem(V_1917)
| ~ ssList(U_1918) ),
inference(cnfTransformation,[status(thm)],[f_834]) ).
tff(c_394,plain,
ssList('#skF_51'),
inference(cnfTransformation,[status(thm)],[f_1047]) ).
tff(c_438,plain,
! [U_1501] :
( ( app(U_1501,nil) = U_1501 )
| ~ ssList(U_1501) ),
inference(cnfTransformation,[status(thm)],[f_859]) ).
tff(c_450,plain,
app('#skF_51',nil) = '#skF_51',
inference(resolution,[status(thm)],[c_394,c_438]) ).
tff(c_3480,plain,
! [V_1689,U_1690] :
( ssList(cons(V_1689,U_1690))
| ~ ssItem(V_1689)
| ~ ssList(U_1690) ),
inference(cnfTransformation,[status(thm)],[f_318]) ).
tff(c_3149,plain,
( ~ ssList(cons(hd('#skF_50'),nil))
| ~ ssItem(hd('#skF_50'))
| ( app(tl('#skF_50'),cons(hd('#skF_50'),nil)) = '#skF_51' ) ),
inference(splitRight,[status(thm)],[c_2942]) ).
tff(c_3312,plain,
( ~ ssList(cons(hd('#skF_50'),nil))
| ( app(tl('#skF_50'),cons(hd('#skF_50'),nil)) = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3273,c_3149]) ).
tff(c_3313,plain,
~ ssList(cons(hd('#skF_50'),nil)),
inference(splitLeft,[status(thm)],[c_3312]) ).
tff(c_3486,plain,
( ~ ssItem(hd('#skF_50'))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_3480,c_3313]) ).
tff(c_3497,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_3273,c_3486]) ).
tff(c_3498,plain,
app(tl('#skF_50'),cons(hd('#skF_50'),nil)) = '#skF_51',
inference(splitRight,[status(thm)],[c_3312]) ).
tff(c_4461,plain,
app('#skF_47'('#skF_50'),cons('#skF_46'('#skF_50'),nil)) = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_4120,c_3974,c_3498]) ).
tff(c_3499,plain,
ssList(cons(hd('#skF_50'),nil)),
inference(splitRight,[status(thm)],[c_3312]) ).
tff(c_196,plain,
! [U_906] :
( ( app(nil,U_906) = U_906 )
| ~ ssList(U_906) ),
inference(cnfTransformation,[status(thm)],[f_413]) ).
tff(c_3506,plain,
app(nil,cons(hd('#skF_50'),nil)) = cons(hd('#skF_50'),nil),
inference(resolution,[status(thm)],[c_3499,c_196]) ).
tff(c_8457,plain,
app(nil,cons('#skF_46'('#skF_50'),nil)) = cons('#skF_46'('#skF_50'),nil),
inference(demodulation,[status(thm),theory(equality)],[c_3974,c_3974,c_3506]) ).
tff(c_8472,plain,
! [Z_1467] :
( ( app(cons('#skF_46'('#skF_50'),nil),Z_1467) != '#skF_50' )
| ( app(app(Z_1467,cons('#skF_46'('#skF_50'),nil)),nil) != '#skF_51' )
| ~ ssList(nil)
| ~ ssList(Z_1467)
| ~ ssItem('#skF_46'('#skF_50')) ),
inference(superposition,[status(thm),theory(equality)],[c_8457,c_414]) ).
tff(c_8893,plain,
! [Z_1895] :
( ( app(cons('#skF_46'('#skF_50'),nil),Z_1895) != '#skF_50' )
| ( app(app(Z_1895,cons('#skF_46'('#skF_50'),nil)),nil) != '#skF_51' )
| ~ ssList(Z_1895) ),
inference(demodulation,[status(thm),theory(equality)],[c_3977,c_168,c_8472]) ).
tff(c_8899,plain,
( ( app(cons('#skF_46'('#skF_50'),nil),'#skF_47'('#skF_50')) != '#skF_50' )
| ( app('#skF_51',nil) != '#skF_51' )
| ~ ssList('#skF_47'('#skF_50')) ),
inference(superposition,[status(thm),theory(equality)],[c_4461,c_8893]) ).
tff(c_8903,plain,
app(cons('#skF_46'('#skF_50'),nil),'#skF_47'('#skF_50')) != '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_4149,c_450,c_8899]) ).
tff(c_8989,plain,
( ( cons('#skF_46'('#skF_50'),'#skF_47'('#skF_50')) != '#skF_50' )
| ~ ssItem('#skF_46'('#skF_50'))
| ~ ssList('#skF_47'('#skF_50')) ),
inference(superposition,[status(thm),theory(equality)],[c_8983,c_8903]) ).
tff(c_9042,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4149,c_3977,c_6190,c_8989]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC421+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.12 % 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
% 0.12/0.32 % Computer : n032.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu Aug 3 21:18:36 EDT 2023
% 0.12/0.32 % CPUTime :
% 12.26/3.75 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.26/3.76
% 12.26/3.76 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 12.26/3.80
% 12.26/3.80 Inference rules
% 12.26/3.80 ----------------------
% 12.26/3.80 #Ref : 0
% 12.26/3.80 #Sup : 1858
% 12.26/3.80 #Fact : 0
% 12.26/3.80 #Define : 0
% 12.26/3.80 #Split : 47
% 12.26/3.80 #Chain : 0
% 12.26/3.80 #Close : 0
% 12.26/3.80
% 12.26/3.80 Ordering : KBO
% 12.26/3.80
% 12.26/3.80 Simplification rules
% 12.26/3.80 ----------------------
% 12.26/3.80 #Subsume : 177
% 12.26/3.80 #Demod : 1435
% 12.26/3.80 #Tautology : 637
% 12.26/3.80 #SimpNegUnit : 91
% 12.26/3.80 #BackRed : 351
% 12.26/3.80
% 12.26/3.80 #Partial instantiations: 0
% 12.26/3.80 #Strategies tried : 1
% 12.26/3.80
% 12.26/3.80 Timing (in seconds)
% 12.26/3.80 ----------------------
% 12.26/3.81 Preprocessing : 0.88
% 12.26/3.81 Parsing : 0.39
% 12.26/3.81 CNF conversion : 0.12
% 12.26/3.81 Main loop : 1.89
% 12.26/3.81 Inferencing : 0.65
% 12.26/3.81 Reduction : 0.59
% 12.26/3.81 Demodulation : 0.41
% 12.26/3.81 BG Simplification : 0.09
% 12.26/3.81 Subsumption : 0.38
% 12.26/3.81 Abstraction : 0.07
% 12.26/3.81 MUC search : 0.00
% 12.26/3.81 Cooper : 0.00
% 12.26/3.81 Total : 2.84
% 12.26/3.81 Index Insertion : 0.00
% 12.26/3.81 Index Deletion : 0.00
% 12.26/3.81 Index Matching : 0.00
% 12.26/3.81 BG Taut test : 0.00
%------------------------------------------------------------------------------