TSTP Solution File: SWC314+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC314+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 : n026.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 11:02:05 EDT 2023
% Result : Theorem 19.60s 7.29s
% Output : CNFRefutation 19.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 91
% Syntax : Number of formulae : 200 ( 48 unt; 77 typ; 0 def)
% Number of atoms : 282 ( 119 equ)
% Maximal formula atoms : 26 ( 2 avg)
% Number of connectives : 274 ( 115 ~; 113 |; 16 &)
% ( 2 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 3 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 : 58 ( 58 usr; 9 con; 0-2 aty)
% Number of variables : 61 (; 55 !; 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_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_1046,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ~ ssList(X)
| ( V != X )
| ( U != W )
| ( ( nil != W )
& ( nil = X ) )
| ( ? [Y] :
( ssList(Y)
& ( W != Y )
& ? [Z] :
( ssList(Z)
& ? [X1] :
( ssList(X1)
& ( tl(X) = Z )
& ( app(Z,X1) = Y )
& ? [X2] :
( ssItem(X2)
& ( cons(X2,nil) = X1 )
& ( hd(X) = X2 )
& neq(nil,X) )
& neq(nil,X) ) ) )
& neq(X,nil) )
| ( ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ~ ssList(X4)
| ( app(cons(X3,nil),X4) != V )
| ( app(X4,cons(X3,nil)) = U ) ) )
& ( ( nil != V )
| ( nil = U ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
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_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_364,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> ( nil != cons(V,U) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax21) ).
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_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_378,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> ( hd(cons(V,U)) = V ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax23) ).
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_392,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> ( tl(cons(V,U)) = U ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax25) ).
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(f_371,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ssItem(hd(U)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax22) ).
tff(f_385,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ssList(tl(U)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax24) ).
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(c_394,plain,
ssList('#skF_50'),
inference(cnfTransformation,[status(thm)],[f_1046]) ).
tff(c_390,plain,
'#skF_49' = '#skF_51',
inference(cnfTransformation,[status(thm)],[f_1046]) ).
tff(c_414,plain,
( ssItem('#skF_52')
| ( nil = '#skF_49' ) ),
inference(cnfTransformation,[status(thm)],[f_1046]) ).
tff(c_419,plain,
( ssItem('#skF_52')
| ( nil = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_414]) ).
tff(c_437,plain,
nil = '#skF_51',
inference(splitLeft,[status(thm)],[c_419]) ).
tff(c_386,plain,
( ( nil != '#skF_51' )
| ( nil = '#skF_50' ) ),
inference(cnfTransformation,[status(thm)],[f_1046]) ).
tff(c_453,plain,
'#skF_51' = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_437,c_437,c_386]) ).
tff(c_455,plain,
nil = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_453,c_437]) ).
tff(c_388,plain,
'#skF_48' = '#skF_50',
inference(cnfTransformation,[status(thm)],[f_1046]) ).
tff(c_406,plain,
( ssItem('#skF_52')
| ( nil != '#skF_48' ) ),
inference(cnfTransformation,[status(thm)],[f_1046]) ).
tff(c_424,plain,
( ssItem('#skF_52')
| ( nil != '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_406]) ).
tff(c_481,plain,
ssItem('#skF_52'),
inference(demodulation,[status(thm),theory(equality)],[c_455,c_424]) ).
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_404,plain,
( ssList('#skF_53')
| ( nil != '#skF_48' ) ),
inference(cnfTransformation,[status(thm)],[f_1046]) ).
tff(c_423,plain,
( ssList('#skF_53')
| ( nil != '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_404]) ).
tff(c_484,plain,
ssList('#skF_53'),
inference(demodulation,[status(thm),theory(equality)],[c_455,c_423]) ).
tff(c_402,plain,
( ( app(cons('#skF_52',nil),'#skF_53') = '#skF_49' )
| ( nil != '#skF_48' ) ),
inference(cnfTransformation,[status(thm)],[f_1046]) ).
tff(c_417,plain,
( ( app(cons('#skF_52',nil),'#skF_53') = '#skF_51' )
| ( nil != '#skF_48' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_402]) ).
tff(c_425,plain,
( ( app(cons('#skF_52',nil),'#skF_53') = '#skF_51' )
| ( nil != '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_417]) ).
tff(c_609,plain,
app(cons('#skF_52','#skF_50'),'#skF_53') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_455,c_455,c_453,c_425]) ).
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_2388,plain,
! [U_1553,V_1554] :
( ( U_1553 = '#skF_50' )
| ( app(U_1553,V_1554) != '#skF_50' )
| ~ ssList(V_1554)
| ~ ssList(U_1553) ),
inference(demodulation,[status(thm),theory(equality)],[c_455,c_455,c_352]) ).
tff(c_2390,plain,
( ( cons('#skF_52','#skF_50') = '#skF_50' )
| ~ ssList('#skF_53')
| ~ ssList(cons('#skF_52','#skF_50')) ),
inference(superposition,[status(thm),theory(equality)],[c_609,c_2388]) ).
tff(c_2399,plain,
( ( cons('#skF_52','#skF_50') = '#skF_50' )
| ~ ssList(cons('#skF_52','#skF_50')) ),
inference(demodulation,[status(thm),theory(equality)],[c_484,c_2390]) ).
tff(c_2519,plain,
~ ssList(cons('#skF_52','#skF_50')),
inference(splitLeft,[status(thm)],[c_2399]) ).
tff(c_2522,plain,
( ~ ssItem('#skF_52')
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_166,c_2519]) ).
tff(c_2526,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_394,c_481,c_2522]) ).
tff(c_2527,plain,
cons('#skF_52','#skF_50') = '#skF_50',
inference(splitRight,[status(thm)],[c_2399]) ).
tff(c_182,plain,
! [V_887,U_885] :
( ( cons(V_887,U_885) != nil )
| ~ ssItem(V_887)
| ~ ssList(U_885) ),
inference(cnfTransformation,[status(thm)],[f_364]) ).
tff(c_1992,plain,
! [V_887,U_885] :
( ( cons(V_887,U_885) != '#skF_50' )
| ~ ssItem(V_887)
| ~ ssList(U_885) ),
inference(demodulation,[status(thm),theory(equality)],[c_455,c_182]) ).
tff(c_2543,plain,
( ~ ssItem('#skF_52')
| ~ ssList('#skF_50') ),
inference(superposition,[status(thm),theory(equality)],[c_2527,c_1992]) ).
tff(c_2581,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_394,c_481,c_2543]) ).
tff(c_2583,plain,
nil != '#skF_51',
inference(splitRight,[status(thm)],[c_419]) ).
tff(c_408,plain,
( ( app('#skF_53',cons('#skF_52',nil)) != '#skF_48' )
| ( nil = '#skF_49' ) ),
inference(cnfTransformation,[status(thm)],[f_1046]) ).
tff(c_418,plain,
( ( app('#skF_53',cons('#skF_52',nil)) != '#skF_48' )
| ( nil = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_408]) ).
tff(c_426,plain,
( ( app('#skF_53',cons('#skF_52',nil)) != '#skF_50' )
| ( nil = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_418]) ).
tff(c_6225,plain,
app('#skF_53',cons('#skF_52',nil)) != '#skF_50',
inference(negUnitSimplification,[status(thm)],[c_2583,c_426]) ).
tff(c_412,plain,
( ssList('#skF_53')
| ( nil = '#skF_49' ) ),
inference(cnfTransformation,[status(thm)],[f_1046]) ).
tff(c_416,plain,
( ssList('#skF_53')
| ( nil = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_412]) ).
tff(c_2584,plain,
ssList('#skF_53'),
inference(negUnitSimplification,[status(thm)],[c_2583,c_416]) ).
tff(c_2582,plain,
ssItem('#skF_52'),
inference(splitRight,[status(thm)],[c_419]) ).
tff(c_392,plain,
ssList('#skF_51'),
inference(cnfTransformation,[status(thm)],[f_1046]) ).
tff(c_6732,plain,
! [U_1822] :
( ( hd(U_1822) = '#skF_46'(U_1822) )
| ( nil = U_1822 )
| ~ ssList(U_1822) ),
inference(cnfTransformation,[status(thm)],[f_769]) ).
tff(c_6819,plain,
( ( hd('#skF_51') = '#skF_46'('#skF_51') )
| ( nil = '#skF_51' ) ),
inference(resolution,[status(thm)],[c_392,c_6732]) ).
tff(c_6853,plain,
hd('#skF_51') = '#skF_46'('#skF_51'),
inference(negUnitSimplification,[status(thm)],[c_2583,c_6819]) ).
tff(c_34871,plain,
! [V_2838,U_2839] :
( ( app(cons(V_2838,nil),U_2839) = cons(V_2838,U_2839) )
| ~ ssItem(V_2838)
| ~ ssList(U_2839) ),
inference(cnfTransformation,[status(thm)],[f_834]) ).
tff(c_410,plain,
( ( app(cons('#skF_52',nil),'#skF_53') = '#skF_49' )
| ( nil = '#skF_49' ) ),
inference(cnfTransformation,[status(thm)],[f_1046]) ).
tff(c_420,plain,
( ( app(cons('#skF_52',nil),'#skF_53') = '#skF_51' )
| ( nil = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_390,c_410]) ).
tff(c_4184,plain,
app(cons('#skF_52',nil),'#skF_53') = '#skF_51',
inference(negUnitSimplification,[status(thm)],[c_2583,c_420]) ).
tff(c_34884,plain,
( ( cons('#skF_52','#skF_53') = '#skF_51' )
| ~ ssItem('#skF_52')
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_34871,c_4184]) ).
tff(c_34896,plain,
cons('#skF_52','#skF_53') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_2584,c_2582,c_34884]) ).
tff(c_186,plain,
! [V_891,U_889] :
( ( hd(cons(V_891,U_889)) = V_891 )
| ~ ssItem(V_891)
| ~ ssList(U_889) ),
inference(cnfTransformation,[status(thm)],[f_378]) ).
tff(c_34906,plain,
( ( hd('#skF_51') = '#skF_52' )
| ~ ssItem('#skF_52')
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_34896,c_186]) ).
tff(c_34922,plain,
'#skF_46'('#skF_51') = '#skF_52',
inference(demodulation,[status(thm),theory(equality)],[c_2584,c_2582,c_6853,c_34906]) ).
tff(c_29249,plain,
! [U_2635] :
( ( tl(U_2635) = '#skF_47'(U_2635) )
| ( nil = U_2635 )
| ~ ssList(U_2635) ),
inference(cnfTransformation,[status(thm)],[f_779]) ).
tff(c_29333,plain,
( ( tl('#skF_51') = '#skF_47'('#skF_51') )
| ( nil = '#skF_51' ) ),
inference(resolution,[status(thm)],[c_392,c_29249]) ).
tff(c_29368,plain,
tl('#skF_51') = '#skF_47'('#skF_51'),
inference(negUnitSimplification,[status(thm)],[c_2583,c_29333]) ).
tff(c_190,plain,
! [V_895,U_893] :
( ( tl(cons(V_895,U_893)) = U_893 )
| ~ ssItem(V_895)
| ~ ssList(U_893) ),
inference(cnfTransformation,[status(thm)],[f_392]) ).
tff(c_34903,plain,
( ( tl('#skF_51') = '#skF_53' )
| ~ ssItem('#skF_52')
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_34896,c_190]) ).
tff(c_34920,plain,
'#skF_47'('#skF_51') = '#skF_53',
inference(demodulation,[status(thm),theory(equality)],[c_2584,c_2582,c_29368,c_34903]) ).
tff(c_168,plain,
ssList(nil),
inference(cnfTransformation,[status(thm)],[f_319]) ).
tff(c_162,plain,
! [U_856,V_858] :
( neq(U_856,V_858)
| ( V_858 = U_856 )
| ~ ssList(V_858)
| ~ ssList(U_856) ),
inference(cnfTransformation,[status(thm)],[f_311]) ).
tff(c_184,plain,
! [U_888] :
( ssItem(hd(U_888))
| ( nil = U_888 )
| ~ ssList(U_888) ),
inference(cnfTransformation,[status(thm)],[f_371]) ).
tff(c_6860,plain,
( ssItem('#skF_46'('#skF_51'))
| ( nil = '#skF_51' )
| ~ ssList('#skF_51') ),
inference(superposition,[status(thm),theory(equality)],[c_6853,c_184]) ).
tff(c_6864,plain,
( ssItem('#skF_46'('#skF_51'))
| ( nil = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_6860]) ).
tff(c_6865,plain,
ssItem('#skF_46'('#skF_51')),
inference(negUnitSimplification,[status(thm)],[c_2583,c_6864]) ).
tff(c_188,plain,
! [U_892] :
( ssList(tl(U_892))
| ( nil = U_892 )
| ~ ssList(U_892) ),
inference(cnfTransformation,[status(thm)],[f_385]) ).
tff(c_29407,plain,
( ssList('#skF_47'('#skF_51'))
| ( nil = '#skF_51' )
| ~ ssList('#skF_51') ),
inference(superposition,[status(thm),theory(equality)],[c_29368,c_188]) ).
tff(c_29411,plain,
( ssList('#skF_47'('#skF_51'))
| ( nil = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_29407]) ).
tff(c_29412,plain,
ssList('#skF_47'('#skF_51')),
inference(negUnitSimplification,[status(thm)],[c_2583,c_29411]) ).
tff(c_6206,plain,
! [U_1788,V_1789] :
( neq(U_1788,V_1789)
| ( V_1789 = U_1788 )
| ~ ssList(V_1789)
| ~ ssList(U_1788) ),
inference(cnfTransformation,[status(thm)],[f_311]) ).
tff(c_3124,plain,
! [U_1624] :
( ( hd(U_1624) = '#skF_46'(U_1624) )
| ( nil = U_1624 )
| ~ ssList(U_1624) ),
inference(cnfTransformation,[status(thm)],[f_769]) ).
tff(c_3208,plain,
( ( hd('#skF_51') = '#skF_46'('#skF_51') )
| ( nil = '#skF_51' ) ),
inference(resolution,[status(thm)],[c_392,c_3124]) ).
tff(c_3241,plain,
hd('#skF_51') = '#skF_46'('#skF_51'),
inference(negUnitSimplification,[status(thm)],[c_2583,c_3208]) ).
tff(c_3246,plain,
( ssItem('#skF_46'('#skF_51'))
| ( nil = '#skF_51' )
| ~ ssList('#skF_51') ),
inference(superposition,[status(thm),theory(equality)],[c_3241,c_184]) ).
tff(c_3250,plain,
( ssItem('#skF_46'('#skF_51'))
| ( nil = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_3246]) ).
tff(c_3251,plain,
ssItem('#skF_46'('#skF_51')),
inference(negUnitSimplification,[status(thm)],[c_2583,c_3250]) ).
tff(c_4040,plain,
! [V_1657,U_1658] :
( ssList(cons(V_1657,U_1658))
| ~ ssItem(V_1657)
| ~ ssList(U_1658) ),
inference(cnfTransformation,[status(thm)],[f_318]) ).
tff(c_3067,plain,
! [U_1622,V_1623] :
( ssList(app(U_1622,V_1623))
| ~ ssList(V_1623)
| ~ ssList(U_1622) ),
inference(cnfTransformation,[status(thm)],[f_399]) ).
tff(c_384,plain,
( ~ neq('#skF_51',nil)
| ~ neq(nil,'#skF_51')
| ~ ssItem(hd('#skF_51'))
| ~ ssList(cons(hd('#skF_51'),nil))
| ~ ssList(tl('#skF_51'))
| ( app(tl('#skF_51'),cons(hd('#skF_51'),nil)) = '#skF_50' )
| ~ ssList(app(tl('#skF_51'),cons(hd('#skF_51'),nil))) ),
inference(cnfTransformation,[status(thm)],[f_1046]) ).
tff(c_2590,plain,
~ ssList(app(tl('#skF_51'),cons(hd('#skF_51'),nil))),
inference(splitLeft,[status(thm)],[c_384]) ).
tff(c_3105,plain,
( ~ ssList(cons(hd('#skF_51'),nil))
| ~ ssList(tl('#skF_51')) ),
inference(resolution,[status(thm)],[c_3067,c_2590]) ).
tff(c_3972,plain,
( ~ ssList(cons('#skF_46'('#skF_51'),nil))
| ~ ssList(tl('#skF_51')) ),
inference(demodulation,[status(thm),theory(equality)],[c_3241,c_3105]) ).
tff(c_3973,plain,
~ ssList(tl('#skF_51')),
inference(splitLeft,[status(thm)],[c_3972]) ).
tff(c_3976,plain,
( ( nil = '#skF_51' )
| ~ ssList('#skF_51') ),
inference(resolution,[status(thm)],[c_188,c_3973]) ).
tff(c_3979,plain,
nil = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_392,c_3976]) ).
tff(c_3981,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2583,c_3979]) ).
tff(c_3982,plain,
~ ssList(cons('#skF_46'('#skF_51'),nil)),
inference(splitRight,[status(thm)],[c_3972]) ).
tff(c_4043,plain,
( ~ ssItem('#skF_46'('#skF_51'))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_4040,c_3982]) ).
tff(c_4062,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_3251,c_4043]) ).
tff(c_4063,plain,
( ~ ssList(tl('#skF_51'))
| ~ ssList(cons(hd('#skF_51'),nil))
| ~ ssItem(hd('#skF_51'))
| ~ neq(nil,'#skF_51')
| ~ neq('#skF_51',nil)
| ( app(tl('#skF_51'),cons(hd('#skF_51'),nil)) = '#skF_50' ) ),
inference(splitRight,[status(thm)],[c_384]) ).
tff(c_4238,plain,
~ neq('#skF_51',nil),
inference(splitLeft,[status(thm)],[c_4063]) ).
tff(c_6209,plain,
( ( nil = '#skF_51' )
| ~ ssList(nil)
| ~ ssList('#skF_51') ),
inference(resolution,[status(thm)],[c_6206,c_4238]) ).
tff(c_6220,plain,
nil = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_392,c_168,c_6209]) ).
tff(c_6222,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2583,c_6220]) ).
tff(c_6223,plain,
( ~ neq(nil,'#skF_51')
| ~ ssItem(hd('#skF_51'))
| ~ ssList(cons(hd('#skF_51'),nil))
| ~ ssList(tl('#skF_51'))
| ( app(tl('#skF_51'),cons(hd('#skF_51'),nil)) = '#skF_50' ) ),
inference(splitRight,[status(thm)],[c_4063]) ).
tff(c_29649,plain,
( ~ neq(nil,'#skF_51')
| ~ ssList(cons('#skF_46'('#skF_51'),nil))
| ( app('#skF_47'('#skF_51'),cons('#skF_46'('#skF_51'),nil)) = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29368,c_6853,c_29412,c_29368,c_6853,c_6865,c_6853,c_6223]) ).
tff(c_29650,plain,
~ ssList(cons('#skF_46'('#skF_51'),nil)),
inference(splitLeft,[status(thm)],[c_29649]) ).
tff(c_29653,plain,
( ~ ssItem('#skF_46'('#skF_51'))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_29650]) ).
tff(c_29657,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_6865,c_29653]) ).
tff(c_29658,plain,
( ~ neq(nil,'#skF_51')
| ( app('#skF_47'('#skF_51'),cons('#skF_46'('#skF_51'),nil)) = '#skF_50' ) ),
inference(splitRight,[status(thm)],[c_29649]) ).
tff(c_32895,plain,
~ neq(nil,'#skF_51'),
inference(splitLeft,[status(thm)],[c_29658]) ).
tff(c_32898,plain,
( ( nil = '#skF_51' )
| ~ ssList('#skF_51')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_162,c_32895]) ).
tff(c_32904,plain,
nil = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_168,c_392,c_32898]) ).
tff(c_32906,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2583,c_32904]) ).
tff(c_32907,plain,
app('#skF_47'('#skF_51'),cons('#skF_46'('#skF_51'),nil)) = '#skF_50',
inference(splitRight,[status(thm)],[c_29658]) ).
tff(c_34932,plain,
app('#skF_53',cons('#skF_46'('#skF_51'),nil)) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_34920,c_32907]) ).
tff(c_35569,plain,
app('#skF_53',cons('#skF_52',nil)) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_34922,c_34932]) ).
tff(c_35570,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6225,c_35569]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC314+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % 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
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 21:46:46 EDT 2023
% 0.13/0.35 % CPUTime :
% 19.60/7.29 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.60/7.30
% 19.60/7.30 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 19.60/7.34
% 19.60/7.34 Inference rules
% 19.60/7.34 ----------------------
% 19.60/7.34 #Ref : 0
% 19.60/7.34 #Sup : 7625
% 19.60/7.34 #Fact : 0
% 19.60/7.34 #Define : 0
% 19.60/7.34 #Split : 163
% 19.60/7.34 #Chain : 0
% 19.60/7.34 #Close : 0
% 19.60/7.34
% 19.60/7.34 Ordering : KBO
% 19.60/7.34
% 19.60/7.34 Simplification rules
% 19.60/7.34 ----------------------
% 19.60/7.34 #Subsume : 1037
% 19.60/7.34 #Demod : 6400
% 19.60/7.34 #Tautology : 3663
% 19.60/7.34 #SimpNegUnit : 638
% 19.60/7.34 #BackRed : 567
% 19.60/7.34
% 19.60/7.34 #Partial instantiations: 0
% 19.60/7.34 #Strategies tried : 1
% 19.60/7.34
% 19.60/7.34 Timing (in seconds)
% 19.60/7.34 ----------------------
% 19.60/7.34 Preprocessing : 0.98
% 19.60/7.34 Parsing : 0.47
% 19.60/7.34 CNF conversion : 0.13
% 19.60/7.34 Main loop : 5.26
% 19.60/7.34 Inferencing : 1.70
% 19.60/7.34 Reduction : 1.87
% 19.60/7.34 Demodulation : 1.37
% 19.60/7.34 BG Simplification : 0.14
% 19.60/7.34 Subsumption : 1.10
% 19.60/7.34 Abstraction : 0.12
% 19.60/7.34 MUC search : 0.00
% 19.60/7.34 Cooper : 0.00
% 19.60/7.34 Total : 6.31
% 19.60/7.34 Index Insertion : 0.00
% 19.60/7.34 Index Deletion : 0.00
% 19.60/7.34 Index Matching : 0.00
% 19.60/7.34 BG Taut test : 0.00
%------------------------------------------------------------------------------