TSTP Solution File: ALG261^1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ALG261^1 : TPTP v8.2.0. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% 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 : Mon May 20 18:05:55 EDT 2024
% Result : Theorem 0.18s 0.50s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 115
% Syntax : Number of formulae : 132 ( 15 unt; 77 typ; 0 def)
% Number of atoms : 327 ( 166 equ; 0 cnn)
% Maximal formula atoms : 69 ( 5 avg)
% Number of connectives : 2270 ( 113 ~; 147 |; 81 &;1654 @)
% ( 38 <=>; 237 =>; 0 <=; 0 <~>)
% Maximal formula depth : 161 ( 10 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 160 ( 160 >; 0 *; 0 +; 0 <<)
% Number of symbols : 77 ( 75 usr; 41 con; 0-4 aty)
% Number of variables : 485 ( 36 ^ 449 !; 0 ?; 485 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
term: $tType ).
thf(decl_sort2,type,
subst: $tType ).
thf(decl_22,type,
one: term ).
thf(decl_23,type,
ap: term > term > term ).
thf(decl_24,type,
lam: term > term ).
thf(decl_25,type,
sub: term > subst > term ).
thf(decl_26,type,
id: subst ).
thf(decl_27,type,
sh: subst ).
thf(decl_28,type,
push: term > subst > subst ).
thf(decl_29,type,
comp: subst > subst > subst ).
thf(decl_30,type,
var: term > $o ).
thf(decl_33,type,
axmap: $o ).
thf(decl_35,type,
shinj: $o ).
thf(decl_38,type,
hoasap: subst > term > subst > term > term ).
thf(decl_39,type,
induction2lem: $o ).
thf(decl_41,type,
axvarshift: $o ).
thf(decl_42,type,
hoasapinj2: $o ).
thf(decl_43,type,
hoasapnotvar_gthm: $o ).
thf(decl_44,type,
hoasapinj1: $o ).
thf(decl_45,type,
ulamvar1: $o ).
thf(decl_48,type,
apnotvar: $o ).
thf(decl_53,type,
hoaslaminj: $o ).
thf(decl_63,type,
hoasapnotvar: $o ).
thf(decl_67,type,
axapp: $o ).
thf(decl_71,type,
ulamvarind: $o ).
thf(decl_72,type,
induction: $o ).
thf(decl_82,type,
axclos: $o ).
thf(decl_83,type,
axassoc: $o ).
thf(decl_86,type,
apinj2: $o ).
thf(decl_87,type,
apinj1: $o ).
thf(decl_92,type,
axvarcons: $o ).
thf(decl_93,type,
hoaslam: subst > ( subst > term > term ) > term ).
thf(decl_94,type,
axscons: $o ).
thf(decl_96,type,
axidr: $o ).
thf(decl_98,type,
laminj: $o ).
thf(decl_102,type,
axabs: $o ).
thf(decl_108,type,
lamnotap: $o ).
thf(decl_110,type,
hoaslamnotvar: $o ).
thf(decl_111,type,
axidl: $o ).
thf(decl_116,type,
pushprop: $o ).
thf(decl_120,type,
substmonoid: $o ).
thf(decl_121,type,
lamnotvar: $o ).
thf(decl_127,type,
hoasvar: subst > term > subst > $o ).
thf(decl_128,type,
hoaslamnotap: $o ).
thf(decl_130,type,
ulamvarsh: $o ).
thf(decl_131,type,
induction2: $o ).
thf(decl_136,type,
axshiftcons: $o ).
thf(decl_137,type,
termmset: $o ).
thf(decl_142,type,
axvarid: $o ).
thf(decl_144,type,
esk1_1: ( term > $o ) > term ).
thf(decl_145,type,
esk2_1: ( term > $o ) > term ).
thf(decl_146,type,
esk3_1: ( term > $o ) > term ).
thf(decl_147,type,
esk4_1: ( term > $o ) > term ).
thf(decl_148,type,
esk5_1: ( term > $o ) > term ).
thf(decl_149,type,
esk6_3: ( term > $o ) > term > subst > term ).
thf(decl_150,type,
esk7_1: ( term > $o ) > term ).
thf(decl_151,type,
esk8_1: ( term > $o ) > term ).
thf(decl_152,type,
esk9_1: ( term > $o ) > term ).
thf(decl_153,type,
esk10_3: ( term > $o ) > term > subst > term ).
thf(decl_154,type,
esk11_1: ( term > $o ) > term ).
thf(decl_155,type,
esk12_1: ( term > $o ) > term ).
thf(decl_156,type,
esk13_1: ( term > $o ) > term ).
thf(decl_157,type,
esk14_1: ( term > $o ) > term ).
thf(decl_158,type,
esk15_1: ( subst > term > term ) > subst ).
thf(decl_159,type,
esk16_1: ( subst > term > term ) > term ).
thf(decl_160,type,
esk17_1: ( subst > term > term ) > subst ).
thf(decl_161,type,
esk18_2: ( subst > term > term ) > ( subst > term > term ) > subst ).
thf(decl_162,type,
esk19_2: ( subst > term > term ) > ( subst > term > term ) > term ).
thf(decl_163,type,
esk20_2: ( subst > term > term ) > ( subst > term > term ) > subst ).
thf(decl_164,type,
esk21_1: ( subst > term > term ) > subst ).
thf(decl_165,type,
esk22_1: ( subst > term > term ) > term ).
thf(decl_166,type,
esk23_1: ( subst > term > term ) > subst ).
thf(decl_167,type,
esk24_1: ( subst > term > term ) > subst ).
thf(decl_168,type,
esk25_1: ( subst > term > term ) > term ).
thf(decl_169,type,
esk26_1: ( subst > term > term ) > subst ).
thf(decl_170,type,
esk27_0: term ).
thf(decl_171,type,
esk28_0: term ).
thf(hoaslamnotvar,axiom,
( hoaslamnotvar
<=> ! [X12: subst > term > term] :
( ! [X3: subst,X1: term,X4: subst] :
( ( sub @ ( X12 @ X3 @ X1 ) @ X4 )
= ( X12 @ ( comp @ X3 @ X4 ) @ ( sub @ X1 @ X4 ) ) )
=> ~ ( hoasvar @ id
@ ( hoaslam @ id
@ ^ [X3: subst,X1: term] : ( X12 @ X3 @ X1 ) )
@ id ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoaslamnotvar) ).
thf(hoasvar,axiom,
( hoasvar
= ( ^ [X3: subst,X1: term,X4: subst] : ( var @ ( sub @ X1 @ X4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoasvar) ).
thf(hoaslaminj,axiom,
( hoaslaminj
<=> ! [X12: subst > term > term] :
( ! [X3: subst,X1: term,X4: subst] :
( ( sub @ ( X12 @ X3 @ X1 ) @ X4 )
= ( X12 @ ( comp @ X3 @ X4 ) @ ( sub @ X1 @ X4 ) ) )
=> ! [X13: subst > term > term] :
( ! [X3: subst,X1: term,X4: subst] :
( ( sub @ ( X13 @ X3 @ X1 ) @ X4 )
= ( X13 @ ( comp @ X3 @ X4 ) @ ( sub @ X1 @ X4 ) ) )
=> ( ( ( hoaslam @ id
@ ^ [X3: subst,X1: term] : ( X12 @ X3 @ X1 ) )
= ( hoaslam @ id
@ ^ [X3: subst,X1: term] : ( X13 @ X3 @ X1 ) ) )
=> ! [X3: subst,X1: term] :
( ( X12 @ X3 @ X1 )
= ( X13 @ X3 @ X1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoaslaminj) ).
thf(hoaslamnotap,axiom,
( hoaslamnotap
<=> ! [X12: subst > term > term] :
( ! [X3: subst,X1: term,X4: subst] :
( ( sub @ ( X12 @ X3 @ X1 ) @ X4 )
= ( X12 @ ( comp @ X3 @ X4 ) @ ( sub @ X1 @ X4 ) ) )
=> ! [X1: term,X2: term] :
( ( hoaslam @ id
@ ^ [X3: subst,X7: term] : ( X12 @ X3 @ X7 ) )
!= ( hoasap @ id @ X1 @ id @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoaslamnotap) ).
thf(hoasapnotvar,axiom,
( hoasapnotvar
<=> ! [X1: term,X2: term] :
~ ( hoasvar @ id @ ( hoasap @ id @ X1 @ id @ X2 ) @ id ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoasapnotvar) ).
thf(hoasapnotvar_gthm,axiom,
( hoasapnotvar_gthm
<=> ( axapp
=> ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> hoasapnotvar ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoasapnotvar_gthm) ).
thf(axapp,axiom,
( axapp
<=> ! [X1: term,X2: term,X3: subst] :
( ( sub @ ( ap @ X1 @ X2 ) @ X3 )
= ( ap @ ( sub @ X1 @ X3 ) @ ( sub @ X2 @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',axapp) ).
thf(axvarcons,axiom,
( axvarcons
<=> ! [X1: term,X3: subst] :
( ( sub @ one @ ( push @ X1 @ X3 ) )
= X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',axvarcons) ).
thf(axvarid,axiom,
( axvarid
<=> ! [X1: term] :
( ( sub @ X1 @ id )
= X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',axvarid) ).
thf(axabs,axiom,
( axabs
<=> ! [X1: term,X3: subst] :
( ( sub @ ( lam @ X1 ) @ X3 )
= ( lam @ ( sub @ X1 @ ( push @ one @ ( comp @ X3 @ sh ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',axabs) ).
thf(axclos,axiom,
( axclos
<=> ! [X1: term,X3: subst,X4: subst] :
( ( sub @ ( sub @ X1 @ X3 ) @ X4 )
= ( sub @ X1 @ ( comp @ X3 @ X4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',axclos) ).
thf(axidl,axiom,
( axidl
<=> ! [X3: subst] :
( ( comp @ id @ X3 )
= X3 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',axidl) ).
thf(axshiftcons,axiom,
( axshiftcons
<=> ! [X1: term,X3: subst] :
( ( comp @ sh @ ( push @ X1 @ X3 ) )
= X3 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',axshiftcons) ).
thf(axassoc,axiom,
( axassoc
<=> ! [X3: subst,X4: subst,X5: subst] :
( ( comp @ ( comp @ X3 @ X4 ) @ X5 )
= ( comp @ X3 @ ( comp @ X4 @ X5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',axassoc) ).
thf(axmap,axiom,
( axmap
<=> ! [X1: term,X3: subst,X4: subst] :
( ( comp @ ( push @ X1 @ X3 ) @ X4 )
= ( push @ ( sub @ X1 @ X4 ) @ ( comp @ X3 @ X4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',axmap) ).
thf(axidr,axiom,
( axidr
<=> ! [X3: subst] :
( ( comp @ X3 @ id )
= X3 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',axidr) ).
thf(axvarshift,axiom,
( axvarshift
<=> ( ( push @ one @ sh )
= id ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',axvarshift) ).
thf(axscons,axiom,
( axscons
<=> ! [X3: subst] :
( ( push @ ( sub @ one @ X3 ) @ ( comp @ sh @ X3 ) )
= X3 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',axscons) ).
thf(ulamvar1,axiom,
( ulamvar1
<=> ( var @ one ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',ulamvar1) ).
thf(ulamvarsh,axiom,
( ulamvarsh
<=> ! [X1: term] :
( ( var @ X1 )
=> ( var @ ( sub @ X1 @ sh ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',ulamvarsh) ).
thf(ulamvarind,axiom,
( ulamvarind
<=> ! [X6: term > $o] :
( ( X6 @ one )
=> ( ! [X1: term] :
( ( var @ X1 )
=> ( ( X6 @ X1 )
=> ( X6 @ ( sub @ X1 @ sh ) ) ) )
=> ! [X1: term] :
( ( var @ X1 )
=> ( X6 @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',ulamvarind) ).
thf(apinj1,axiom,
( apinj1
<=> ! [X1: term,X2: term,X7: term,X8: term] :
( ( ( ap @ X1 @ X7 )
= ( ap @ X2 @ X8 ) )
=> ( X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',apinj1) ).
thf(apinj2,axiom,
( apinj2
<=> ! [X1: term,X2: term,X7: term,X8: term] :
( ( ( ap @ X1 @ X7 )
= ( ap @ X2 @ X8 ) )
=> ( X7 = X8 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',apinj2) ).
thf(laminj,axiom,
( laminj
<=> ! [X1: term,X2: term] :
( ( ( lam @ X1 )
= ( lam @ X2 ) )
=> ( X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',laminj) ).
thf(shinj,axiom,
( shinj
<=> ! [X1: term,X2: term] :
( ( ( sub @ X1 @ sh )
= ( sub @ X2 @ sh ) )
=> ( X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',shinj) ).
thf(lamnotap,axiom,
( lamnotap
<=> ! [X1: term,X2: term,X7: term] :
( ( lam @ X1 )
!= ( ap @ X2 @ X7 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',lamnotap) ).
thf(apnotvar,axiom,
( apnotvar
<=> ! [X1: term,X2: term] :
~ ( var @ ( ap @ X1 @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',apnotvar) ).
thf(lamnotvar,axiom,
( lamnotvar
<=> ! [X1: term] :
~ ( var @ ( lam @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',lamnotvar) ).
thf(induction,axiom,
( induction
<=> ! [X6: term > $o] :
( ! [X1: term] :
( ( var @ X1 )
=> ( X6 @ X1 ) )
=> ( ! [X1: term,X2: term] :
( ( X6 @ X1 )
=> ( ( X6 @ X2 )
=> ( X6 @ ( ap @ X1 @ X2 ) ) ) )
=> ( ! [X1: term] :
( ( X6 @ X1 )
=> ( X6 @ ( lam @ X1 ) ) )
=> ! [X1: term] : ( X6 @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',induction) ).
thf(pushprop,axiom,
( pushprop
<=> ! [X6: term > $o,X1: term,X3: subst] :
( ! [X2: term] :
( ( var @ X2 )
=> ( X6 @ ( sub @ X2 @ X3 ) ) )
=> ( ( X6 @ X1 )
=> ! [X2: term] :
( ( var @ X2 )
=> ( X6 @ ( sub @ X2 @ ( push @ X1 @ X3 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',pushprop) ).
thf(induction2lem,axiom,
( induction2lem
<=> ! [X6: term > $o] :
( ! [X1: term,X2: term] :
( ( X6 @ X1 )
=> ( ( X6 @ X2 )
=> ( X6 @ ( ap @ X1 @ X2 ) ) ) )
=> ( ! [X1: term] :
( ! [X2: term] :
( ( X6 @ X2 )
=> ( X6 @ ( sub @ X1 @ ( push @ X2 @ id ) ) ) )
=> ( X6 @ ( lam @ X1 ) ) )
=> ! [X1: term,X3: subst] :
( ! [X2: term] :
( ( var @ X2 )
=> ( X6 @ ( sub @ X2 @ X3 ) ) )
=> ( X6 @ ( sub @ X1 @ X3 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',induction2lem) ).
thf(induction2,axiom,
( induction2
<=> ! [X6: term > $o] :
( ! [X1: term] :
( ( var @ X1 )
=> ( X6 @ X1 ) )
=> ( ! [X1: term,X2: term] :
( ( X6 @ X1 )
=> ( ( X6 @ X2 )
=> ( X6 @ ( ap @ X1 @ X2 ) ) ) )
=> ( ! [X1: term] :
( ! [X2: term] :
( ( X6 @ X2 )
=> ( X6 @ ( sub @ X1 @ ( push @ X2 @ id ) ) ) )
=> ( X6 @ ( lam @ X1 ) ) )
=> ! [X1: term] : ( X6 @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',induction2) ).
thf(substmonoid,axiom,
( substmonoid
<=> ( ! [X3: subst,X4: subst,X5: subst] :
( ( comp @ ( comp @ X3 @ X4 ) @ X5 )
= ( comp @ X3 @ ( comp @ X4 @ X5 ) ) )
& ! [X3: subst] :
( ( comp @ id @ X3 )
= X3 )
& ! [X3: subst] :
( ( comp @ X3 @ id )
= X3 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',substmonoid) ).
thf(termmset,axiom,
( termmset
<=> ( ! [X1: term,X3: subst,X4: subst] :
( ( sub @ ( sub @ X1 @ X3 ) @ X4 )
= ( sub @ X1 @ ( comp @ X3 @ X4 ) ) )
& ! [X1: term] :
( ( sub @ X1 @ id )
= X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',termmset) ).
thf(hoasapinj1,axiom,
( hoasapinj1
<=> ! [X1: term,X2: term,X7: term,X8: term] :
( ( ( hoasap @ id @ X1 @ id @ X7 )
= ( hoasap @ id @ X2 @ id @ X8 ) )
=> ( X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoasapinj1) ).
thf(hoasapinj2,axiom,
( hoasapinj2
<=> ! [X1: term,X2: term,X7: term,X8: term] :
( ( ( hoasap @ id @ X1 @ id @ X7 )
= ( hoasap @ id @ X2 @ id @ X8 ) )
=> ( X7 = X8 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoasapinj2) ).
thf(thm,conjecture,
hoasapnotvar_gthm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
thf(hoasap,axiom,
( hoasap
= ( ^ [X3: subst,X1: term,X4: subst,X2: term] : ( ap @ ( sub @ X1 @ X4 ) @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoasap) ).
thf(c_0_38,plain,
( hoaslamnotvar
<=> ! [X12: subst > term > term] :
( ! [X3: subst,X1: term,X4: subst] :
( ( sub @ ( X12 @ X3 @ X1 ) @ X4 )
= ( X12 @ ( comp @ X3 @ X4 ) @ ( sub @ X1 @ X4 ) ) )
=> ~ ( hoasvar @ id
@ ( hoaslam @ id
@ ^ [Z0: subst,Z1: term] : ( X12 @ Z0 @ Z1 ) )
@ id ) ) ),
inference(fof_simplification,[status(thm)],[hoaslamnotvar]) ).
thf(c_0_39,plain,
( hoasvar
= ( ^ [Z0: subst,Z1: term,Z2: subst] : ( var @ ( sub @ Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[hoasvar]) ).
thf(c_0_40,plain,
( hoaslaminj
<=> ! [X12: subst > term > term] :
( ! [X3: subst,X1: term,X4: subst] :
( ( sub @ ( X12 @ X3 @ X1 ) @ X4 )
= ( X12 @ ( comp @ X3 @ X4 ) @ ( sub @ X1 @ X4 ) ) )
=> ! [X13: subst > term > term] :
( ! [X3: subst,X1: term,X4: subst] :
( ( sub @ ( X13 @ X3 @ X1 ) @ X4 )
= ( X13 @ ( comp @ X3 @ X4 ) @ ( sub @ X1 @ X4 ) ) )
=> ( ( ( hoaslam @ id
@ ^ [Z0: subst,Z1: term] : ( X12 @ Z0 @ Z1 ) )
= ( hoaslam @ id
@ ^ [Z0: subst,Z1: term] : ( X13 @ Z0 @ Z1 ) ) )
=> ! [X3: subst,X1: term] :
( ( X12 @ X3 @ X1 )
= ( X13 @ X3 @ X1 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[hoaslaminj]) ).
thf(c_0_41,plain,
( hoaslamnotap
<=> ! [X12: subst > term > term] :
( ! [X3: subst,X1: term,X4: subst] :
( ( sub @ ( X12 @ X3 @ X1 ) @ X4 )
= ( X12 @ ( comp @ X3 @ X4 ) @ ( sub @ X1 @ X4 ) ) )
=> ! [X1: term,X2: term] :
( ( hoaslam @ id
@ ^ [Z0: subst,Z1: term] : ( X12 @ Z0 @ Z1 ) )
!= ( hoasap @ id @ X1 @ id @ X2 ) ) ) ),
inference(fof_simplification,[status(thm)],[hoaslamnotap]) ).
thf(c_0_42,plain,
( hoaslamnotvar
= ( ! [X12: subst > term > term] :
( ! [X3: subst,X1: term,X4: subst] :
( ( sub @ ( X12 @ X3 @ X1 ) @ X4 )
= ( X12 @ ( comp @ X3 @ X4 ) @ ( sub @ X1 @ X4 ) ) )
=> ~ ( var
@ ( sub
@ ( hoaslam @ id
@ ^ [Z0: subst,Z1: term] : ( X12 @ Z0 @ Z1 ) )
@ id ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_38,c_0_39]) ).
thf(c_0_43,axiom,
( hoasapnotvar
= ( ! [X1: term,X2: term] :
~ ( var @ ( sub @ ( hoasap @ id @ X1 @ id @ X2 ) @ id ) ) ) ),
inference(apply_def,[status(thm)],[hoasapnotvar,c_0_39]) ).
thf(c_0_44,axiom,
( hoasapnotvar_gthm
= ( ! [X548: term,X549: term,X550: subst] :
( ( sub @ ( ap @ X548 @ X549 ) @ X550 )
= ( ap @ ( sub @ X548 @ X550 ) @ ( sub @ X549 @ X550 ) ) )
=> ( ! [X551: term,X552: subst] :
( ( sub @ one @ ( push @ X551 @ X552 ) )
= X551 )
=> ( ! [X553: term] :
( ( sub @ X553 @ id )
= X553 )
=> ( ! [X554: term,X555: subst] :
( ( sub @ ( lam @ X554 ) @ X555 )
= ( lam @ ( sub @ X554 @ ( push @ one @ ( comp @ X555 @ sh ) ) ) ) )
=> ( ! [X556: term,X557: subst,X558: subst] :
( ( sub @ ( sub @ X556 @ X557 ) @ X558 )
= ( sub @ X556 @ ( comp @ X557 @ X558 ) ) )
=> ( ! [X559: subst] :
( ( comp @ id @ X559 )
= X559 )
=> ( ! [X560: term,X561: subst] :
( ( comp @ sh @ ( push @ X560 @ X561 ) )
= X561 )
=> ( ! [X562: subst,X563: subst,X564: subst] :
( ( comp @ ( comp @ X562 @ X563 ) @ X564 )
= ( comp @ X562 @ ( comp @ X563 @ X564 ) ) )
=> ( ! [X565: term,X566: subst,X567: subst] :
( ( comp @ ( push @ X565 @ X566 ) @ X567 )
= ( push @ ( sub @ X565 @ X567 ) @ ( comp @ X566 @ X567 ) ) )
=> ( ! [X568: subst] :
( ( comp @ X568 @ id )
= X568 )
=> ( ( ( push @ one @ sh )
= id )
=> ( ! [X569: subst] :
( ( push @ ( sub @ one @ X569 ) @ ( comp @ sh @ X569 ) )
= X569 )
=> ( ( var @ one )
=> ( ! [X570: term] :
( ( var @ X570 )
=> ( var @ ( sub @ X570 @ sh ) ) )
=> ( ! [X571: term > $o] :
( ( X571 @ one )
=> ( ! [X572: term] :
( ( var @ X572 )
=> ( ( X571 @ X572 )
=> ( X571 @ ( sub @ X572 @ sh ) ) ) )
=> ! [X573: term] :
( ( var @ X573 )
=> ( X571 @ X573 ) ) ) )
=> ( ! [X574: term,X575: term,X576: term,X577: term] :
( ( ( ap @ X574 @ X576 )
= ( ap @ X575 @ X577 ) )
=> ( X574 = X575 ) )
=> ( ! [X578: term,X579: term,X580: term,X581: term] :
( ( ( ap @ X578 @ X580 )
= ( ap @ X579 @ X581 ) )
=> ( X580 = X581 ) )
=> ( ! [X582: term,X583: term] :
( ( ( lam @ X582 )
= ( lam @ X583 ) )
=> ( X582 = X583 ) )
=> ( ! [X584: term,X585: term] :
( ( ( sub @ X584 @ sh )
= ( sub @ X585 @ sh ) )
=> ( X584 = X585 ) )
=> ( ! [X586: term,X587: term,X588: term] :
( ( lam @ X586 )
!= ( ap @ X587 @ X588 ) )
=> ( ! [X589: term,X590: term] :
~ ( var @ ( ap @ X589 @ X590 ) )
=> ( ! [X591: term] :
~ ( var @ ( lam @ X591 ) )
=> ( ! [X592: term > $o] :
( ! [X593: term] :
( ( var @ X593 )
=> ( X592 @ X593 ) )
=> ( ! [X594: term,X595: term] :
( ( X592 @ X594 )
=> ( ( X592 @ X595 )
=> ( X592 @ ( ap @ X594 @ X595 ) ) ) )
=> ( ! [X596: term] :
( ( X592 @ X596 )
=> ( X592 @ ( lam @ X596 ) ) )
=> ! [X597: term] : ( X592 @ X597 ) ) ) )
=> ( ! [X598: term > $o,X599: term,X600: subst] :
( ! [X601: term] :
( ( var @ X601 )
=> ( X598 @ ( sub @ X601 @ X600 ) ) )
=> ( ( X598 @ X599 )
=> ! [X602: term] :
( ( var @ X602 )
=> ( X598 @ ( sub @ X602 @ ( push @ X599 @ X600 ) ) ) ) ) )
=> ( ! [X603: term > $o] :
( ! [X604: term,X605: term] :
( ( X603 @ X604 )
=> ( ( X603 @ X605 )
=> ( X603 @ ( ap @ X604 @ X605 ) ) ) )
=> ( ! [X606: term] :
( ! [X607: term] :
( ( X603 @ X607 )
=> ( X603 @ ( sub @ X606 @ ( push @ X607 @ id ) ) ) )
=> ( X603 @ ( lam @ X606 ) ) )
=> ! [X608: term,X609: subst] :
( ! [X610: term] :
( ( var @ X610 )
=> ( X603 @ ( sub @ X610 @ X609 ) ) )
=> ( X603 @ ( sub @ X608 @ X609 ) ) ) ) )
=> ( ! [X611: term > $o] :
( ! [X612: term] :
( ( var @ X612 )
=> ( X611 @ X612 ) )
=> ( ! [X613: term,X614: term] :
( ( X611 @ X613 )
=> ( ( X611 @ X614 )
=> ( X611 @ ( ap @ X613 @ X614 ) ) ) )
=> ( ! [X615: term] :
( ! [X616: term] :
( ( X611 @ X616 )
=> ( X611 @ ( sub @ X615 @ ( push @ X616 @ id ) ) ) )
=> ( X611 @ ( lam @ X615 ) ) )
=> ! [X617: term] : ( X611 @ X617 ) ) ) )
=> ( ( ! [X618: subst,X619: subst,X620: subst] :
( ( comp @ ( comp @ X618 @ X619 ) @ X620 )
= ( comp @ X618 @ ( comp @ X619 @ X620 ) ) )
& ! [X621: subst] :
( ( comp @ id @ X621 )
= X621 )
& ! [X622: subst] :
( ( comp @ X622 @ id )
= X622 ) )
=> ( ( ! [X623: term,X624: subst,X625: subst] :
( ( sub @ ( sub @ X623 @ X624 ) @ X625 )
= ( sub @ X623 @ ( comp @ X624 @ X625 ) ) )
& ! [X626: term] :
( ( sub @ X626 @ id )
= X626 ) )
=> ( ! [X627: term,X628: term,X629: term,X630: term] :
( ( ( hoasap @ id @ X627 @ id @ X629 )
= ( hoasap @ id @ X628 @ id @ X630 ) )
=> ( X627 = X628 ) )
=> ( ! [X631: term,X632: term,X633: term,X634: term] :
( ( ( hoasap @ id @ X631 @ id @ X633 )
= ( hoasap @ id @ X632 @ id @ X634 ) )
=> ( X633 = X634 ) )
=> ( ! [X635: subst > term > term] :
( ! [X636: subst,X637: term,X638: subst] :
( ( sub @ ( X635 @ X636 @ X637 ) @ X638 )
= ( X635 @ ( comp @ X636 @ X638 ) @ ( sub @ X637 @ X638 ) ) )
=> ! [X639: subst > term > term] :
( ! [X640: subst,X641: term,X642: subst] :
( ( sub @ ( X639 @ X640 @ X641 ) @ X642 )
= ( X639 @ ( comp @ X640 @ X642 ) @ ( sub @ X641 @ X642 ) ) )
=> ( ( ( hoaslam @ id
@ ^ [Z0: subst,Z1: term] : ( X635 @ Z0 @ Z1 ) )
= ( hoaslam @ id
@ ^ [Z0: subst,Z1: term] : ( X639 @ Z0 @ Z1 ) ) )
=> ! [X643: subst,X644: term] :
( ( X635 @ X643 @ X644 )
= ( X639 @ X643 @ X644 ) ) ) ) )
=> ( ! [X645: subst > term > term] :
( ! [X646: subst,X647: term,X648: subst] :
( ( sub @ ( X645 @ X646 @ X647 ) @ X648 )
= ( X645 @ ( comp @ X646 @ X648 ) @ ( sub @ X647 @ X648 ) ) )
=> ! [X649: term,X650: term] :
( ( hoaslam @ id
@ ^ [Z0: subst,Z1: term] : ( X645 @ Z0 @ Z1 ) )
!= ( hoasap @ id @ X649 @ id @ X650 ) ) )
=> ( ! [X651: subst > term > term] :
( ! [X652: subst,X653: term,X654: subst] :
( ( sub @ ( X651 @ X652 @ X653 ) @ X654 )
= ( X651 @ ( comp @ X652 @ X654 ) @ ( sub @ X653 @ X654 ) ) )
=> ~ ( var
@ ( sub
@ ( hoaslam @ id
@ ^ [Z0: subst,Z1: term] : ( X651 @ Z0 @ Z1 ) )
@ id ) ) )
=> ! [X655: term,X656: term] :
~ ( var @ ( sub @ ( hoasap @ id @ X655 @ id @ X656 ) @ id ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[hoasapnotvar_gthm,axapp]),axvarcons]),axvarid]),axabs]),axclos]),axidl]),axshiftcons]),axassoc]),axmap]),axidr]),axvarshift]),axscons]),ulamvar1]),ulamvarsh]),ulamvarind]),apinj1]),apinj2]),laminj]),shinj]),lamnotap]),apnotvar]),lamnotvar]),induction]),pushprop]),induction2lem]),induction2]),substmonoid]),termmset]),c_0_39]),hoasapinj1]),hoasapinj2]),c_0_40]),c_0_41]),c_0_42]),c_0_43]) ).
thf(c_0_45,negated_conjecture,
~ ( ! [X3373: term,X3374: term,X3375: subst] :
( ( sub @ ( ap @ X3373 @ X3374 ) @ X3375 )
= ( ap @ ( sub @ X3373 @ X3375 ) @ ( sub @ X3374 @ X3375 ) ) )
=> ( ! [X3376: term,X3377: subst] :
( ( sub @ one @ ( push @ X3376 @ X3377 ) )
= X3376 )
=> ( ! [X3378: term] :
( ( sub @ X3378 @ id )
= X3378 )
=> ( ! [X3379: term,X3380: subst] :
( ( sub @ ( lam @ X3379 ) @ X3380 )
= ( lam @ ( sub @ X3379 @ ( push @ one @ ( comp @ X3380 @ sh ) ) ) ) )
=> ( ! [X3381: term,X3382: subst,X3383: subst] :
( ( sub @ ( sub @ X3381 @ X3382 ) @ X3383 )
= ( sub @ X3381 @ ( comp @ X3382 @ X3383 ) ) )
=> ( ! [X3384: subst] :
( ( comp @ id @ X3384 )
= X3384 )
=> ( ! [X3385: term,X3386: subst] :
( ( comp @ sh @ ( push @ X3385 @ X3386 ) )
= X3386 )
=> ( ! [X3387: subst,X3388: subst,X3389: subst] :
( ( comp @ ( comp @ X3387 @ X3388 ) @ X3389 )
= ( comp @ X3387 @ ( comp @ X3388 @ X3389 ) ) )
=> ( ! [X3390: term,X3391: subst,X3392: subst] :
( ( comp @ ( push @ X3390 @ X3391 ) @ X3392 )
= ( push @ ( sub @ X3390 @ X3392 ) @ ( comp @ X3391 @ X3392 ) ) )
=> ( ! [X3393: subst] :
( ( comp @ X3393 @ id )
= X3393 )
=> ( ( ( push @ one @ sh )
= id )
=> ( ! [X3394: subst] :
( ( push @ ( sub @ one @ X3394 ) @ ( comp @ sh @ X3394 ) )
= X3394 )
=> ( ( var @ one )
=> ( ! [X3395: term] :
( ( var @ X3395 )
=> ( var @ ( sub @ X3395 @ sh ) ) )
=> ( ! [X3396: term > $o] :
( ( X3396 @ one )
=> ( ! [X3397: term] :
( ( var @ X3397 )
=> ( ( X3396 @ X3397 )
=> ( X3396 @ ( sub @ X3397 @ sh ) ) ) )
=> ! [X3398: term] :
( ( var @ X3398 )
=> ( X3396 @ X3398 ) ) ) )
=> ( ! [X3399: term,X3400: term,X3401: term,X3402: term] :
( ( ( ap @ X3399 @ X3401 )
= ( ap @ X3400 @ X3402 ) )
=> ( X3399 = X3400 ) )
=> ( ! [X3403: term,X3404: term,X3405: term,X3406: term] :
( ( ( ap @ X3403 @ X3405 )
= ( ap @ X3404 @ X3406 ) )
=> ( X3405 = X3406 ) )
=> ( ! [X3407: term,X3408: term] :
( ( ( lam @ X3407 )
= ( lam @ X3408 ) )
=> ( X3407 = X3408 ) )
=> ( ! [X3409: term,X3410: term] :
( ( ( sub @ X3409 @ sh )
= ( sub @ X3410 @ sh ) )
=> ( X3409 = X3410 ) )
=> ( ! [X3411: term,X3412: term,X3413: term] :
( ( lam @ X3411 )
!= ( ap @ X3412 @ X3413 ) )
=> ( ! [X3414: term,X3415: term] :
~ ( var @ ( ap @ X3414 @ X3415 ) )
=> ( ! [X3416: term] :
~ ( var @ ( lam @ X3416 ) )
=> ( ! [X3417: term > $o] :
( ! [X3418: term] :
( ( var @ X3418 )
=> ( X3417 @ X3418 ) )
=> ( ! [X3419: term,X3420: term] :
( ( X3417 @ X3419 )
=> ( ( X3417 @ X3420 )
=> ( X3417 @ ( ap @ X3419 @ X3420 ) ) ) )
=> ( ! [X3421: term] :
( ( X3417 @ X3421 )
=> ( X3417 @ ( lam @ X3421 ) ) )
=> ! [X3422: term] : ( X3417 @ X3422 ) ) ) )
=> ( ! [X3423: term > $o,X3424: term,X3425: subst] :
( ! [X3426: term] :
( ( var @ X3426 )
=> ( X3423 @ ( sub @ X3426 @ X3425 ) ) )
=> ( ( X3423 @ X3424 )
=> ! [X3427: term] :
( ( var @ X3427 )
=> ( X3423 @ ( sub @ X3427 @ ( push @ X3424 @ X3425 ) ) ) ) ) )
=> ( ! [X3428: term > $o] :
( ! [X3429: term,X3430: term] :
( ( X3428 @ X3429 )
=> ( ( X3428 @ X3430 )
=> ( X3428 @ ( ap @ X3429 @ X3430 ) ) ) )
=> ( ! [X3431: term] :
( ! [X3432: term] :
( ( X3428 @ X3432 )
=> ( X3428 @ ( sub @ X3431 @ ( push @ X3432 @ id ) ) ) )
=> ( X3428 @ ( lam @ X3431 ) ) )
=> ! [X3433: term,X3434: subst] :
( ! [X3435: term] :
( ( var @ X3435 )
=> ( X3428 @ ( sub @ X3435 @ X3434 ) ) )
=> ( X3428 @ ( sub @ X3433 @ X3434 ) ) ) ) )
=> ( ! [X3436: term > $o] :
( ! [X3437: term] :
( ( var @ X3437 )
=> ( X3436 @ X3437 ) )
=> ( ! [X3438: term,X3439: term] :
( ( X3436 @ X3438 )
=> ( ( X3436 @ X3439 )
=> ( X3436 @ ( ap @ X3438 @ X3439 ) ) ) )
=> ( ! [X3440: term] :
( ! [X3441: term] :
( ( X3436 @ X3441 )
=> ( X3436 @ ( sub @ X3440 @ ( push @ X3441 @ id ) ) ) )
=> ( X3436 @ ( lam @ X3440 ) ) )
=> ! [X3442: term] : ( X3436 @ X3442 ) ) ) )
=> ( ( ! [X3443: subst,X3444: subst,X3445: subst] :
( ( comp @ ( comp @ X3443 @ X3444 ) @ X3445 )
= ( comp @ X3443 @ ( comp @ X3444 @ X3445 ) ) )
& ! [X3446: subst] :
( ( comp @ id @ X3446 )
= X3446 )
& ! [X3447: subst] :
( ( comp @ X3447 @ id )
= X3447 ) )
=> ( ( ! [X3448: term,X3449: subst,X3450: subst] :
( ( sub @ ( sub @ X3448 @ X3449 ) @ X3450 )
= ( sub @ X3448 @ ( comp @ X3449 @ X3450 ) ) )
& ! [X3451: term] :
( ( sub @ X3451 @ id )
= X3451 ) )
=> ( ! [X3452: term,X3453: term,X3454: term,X3455: term] :
( ( ( hoasap @ id @ X3452 @ id @ X3454 )
= ( hoasap @ id @ X3453 @ id @ X3455 ) )
=> ( X3452 = X3453 ) )
=> ( ! [X3456: term,X3457: term,X3458: term,X3459: term] :
( ( ( hoasap @ id @ X3456 @ id @ X3458 )
= ( hoasap @ id @ X3457 @ id @ X3459 ) )
=> ( X3458 = X3459 ) )
=> ( ! [X3460: subst > term > term] :
( ! [X3461: subst,X3462: term,X3463: subst] :
( ( sub @ ( X3460 @ X3461 @ X3462 ) @ X3463 )
= ( X3460 @ ( comp @ X3461 @ X3463 ) @ ( sub @ X3462 @ X3463 ) ) )
=> ! [X3464: subst > term > term] :
( ! [X3465: subst,X3466: term,X3467: subst] :
( ( sub @ ( X3464 @ X3465 @ X3466 ) @ X3467 )
= ( X3464 @ ( comp @ X3465 @ X3467 ) @ ( sub @ X3466 @ X3467 ) ) )
=> ( ( ( hoaslam @ id @ X3460 )
= ( hoaslam @ id @ X3464 ) )
=> ! [X3468: subst,X3469: term] :
( ( X3460 @ X3468 @ X3469 )
= ( X3464 @ X3468 @ X3469 ) ) ) ) )
=> ( ! [X3470: subst > term > term] :
( ! [X3471: subst,X3472: term,X3473: subst] :
( ( sub @ ( X3470 @ X3471 @ X3472 ) @ X3473 )
= ( X3470 @ ( comp @ X3471 @ X3473 ) @ ( sub @ X3472 @ X3473 ) ) )
=> ! [X3474: term,X3475: term] :
( ( hoaslam @ id @ X3470 )
!= ( hoasap @ id @ X3474 @ id @ X3475 ) ) )
=> ( ! [X3476: subst > term > term] :
( ! [X3477: subst,X3478: term,X3479: subst] :
( ( sub @ ( X3476 @ X3477 @ X3478 ) @ X3479 )
= ( X3476 @ ( comp @ X3477 @ X3479 ) @ ( sub @ X3478 @ X3479 ) ) )
=> ~ ( var @ ( sub @ ( hoaslam @ id @ X3476 ) @ id ) ) )
=> ! [X3480: term,X3481: term] :
~ ( var @ ( sub @ ( hoasap @ id @ X3480 @ id @ X3481 ) @ id ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[thm]),c_0_44])])]) ).
thf(c_0_46,negated_conjecture,
! [X3494: term,X3495: term,X3496: subst,X3497: term,X3498: subst,X3499: term,X3500: term,X3501: subst,X3502: term,X3503: subst,X3504: subst,X3505: subst,X3506: term,X3507: subst,X3508: subst,X3509: subst,X3510: subst,X3511: term,X3512: subst,X3513: subst,X3514: subst,X3515: subst,X3516: term,X3517: term > $o,X3519: term,X3520: term,X3521: term,X3522: term,X3523: term,X3524: term,X3525: term,X3526: term,X3527: term,X3528: term,X3529: term,X3530: term,X3531: term,X3532: term,X3533: term,X3534: term,X3535: term,X3536: term,X3537: term,X3538: term > $o,X3543: term,X3544: term > $o,X3545: term,X3546: subst,X3548: term,X3549: term > $o,X3553: term,X3554: term,X3555: subst,X3557: term > $o,X3562: term,X3563: term,X3564: subst,X3565: subst,X3566: subst,X3567: subst,X3568: subst,X3569: term,X3570: subst,X3571: subst,X3572: term,X3573: term,X3574: term,X3575: term,X3576: term,X3577: term,X3578: term,X3579: term,X3580: term,X3581: subst > term > term,X3585: subst > term > term,X3589: subst,X3590: term,X3591: subst > term > term,X3595: term,X3596: term,X3597: subst > term > term] :
( ( ( sub @ ( ap @ X3494 @ X3495 ) @ X3496 )
= ( ap @ ( sub @ X3494 @ X3496 ) @ ( sub @ X3495 @ X3496 ) ) )
& ( ( sub @ one @ ( push @ X3497 @ X3498 ) )
= X3497 )
& ( ( sub @ X3499 @ id )
= X3499 )
& ( ( sub @ ( lam @ X3500 ) @ X3501 )
= ( lam @ ( sub @ X3500 @ ( push @ one @ ( comp @ X3501 @ sh ) ) ) ) )
& ( ( sub @ ( sub @ X3502 @ X3503 ) @ X3504 )
= ( sub @ X3502 @ ( comp @ X3503 @ X3504 ) ) )
& ( ( comp @ id @ X3505 )
= X3505 )
& ( ( comp @ sh @ ( push @ X3506 @ X3507 ) )
= X3507 )
& ( ( comp @ ( comp @ X3508 @ X3509 ) @ X3510 )
= ( comp @ X3508 @ ( comp @ X3509 @ X3510 ) ) )
& ( ( comp @ ( push @ X3511 @ X3512 ) @ X3513 )
= ( push @ ( sub @ X3511 @ X3513 ) @ ( comp @ X3512 @ X3513 ) ) )
& ( ( comp @ X3514 @ id )
= X3514 )
& ( ( push @ one @ sh )
= id )
& ( ( push @ ( sub @ one @ X3515 ) @ ( comp @ sh @ X3515 ) )
= X3515 )
& ( var @ one )
& ( ~ ( var @ X3516 )
| ( var @ ( sub @ X3516 @ sh ) ) )
& ( ( var @ ( esk1_1 @ X3517 ) )
| ~ ( var @ X3519 )
| ( X3517 @ X3519 )
| ~ ( X3517 @ one ) )
& ( ( X3517 @ ( esk1_1 @ X3517 ) )
| ~ ( var @ X3519 )
| ( X3517 @ X3519 )
| ~ ( X3517 @ one ) )
& ( ~ ( X3517 @ ( sub @ ( esk1_1 @ X3517 ) @ sh ) )
| ~ ( var @ X3519 )
| ( X3517 @ X3519 )
| ~ ( X3517 @ one ) )
& ( ( ( ap @ X3520 @ X3522 )
!= ( ap @ X3521 @ X3523 ) )
| ( X3520 = X3521 ) )
& ( ( ( ap @ X3524 @ X3526 )
!= ( ap @ X3525 @ X3527 ) )
| ( X3526 = X3527 ) )
& ( ( ( lam @ X3528 )
!= ( lam @ X3529 ) )
| ( X3528 = X3529 ) )
& ( ( ( sub @ X3530 @ sh )
!= ( sub @ X3531 @ sh ) )
| ( X3530 = X3531 ) )
& ( ( lam @ X3532 )
!= ( ap @ X3533 @ X3534 ) )
& ~ ( var @ ( ap @ X3535 @ X3536 ) )
& ~ ( var @ ( lam @ X3537 ) )
& ( ( X3538 @ ( esk5_1 @ X3538 ) )
| ( X3538 @ X3543 )
| ( X3538 @ ( esk3_1 @ X3538 ) )
| ( var @ ( esk2_1 @ X3538 ) ) )
& ( ~ ( X3538 @ ( lam @ ( esk5_1 @ X3538 ) ) )
| ( X3538 @ X3543 )
| ( X3538 @ ( esk3_1 @ X3538 ) )
| ( var @ ( esk2_1 @ X3538 ) ) )
& ( ( X3538 @ ( esk5_1 @ X3538 ) )
| ( X3538 @ X3543 )
| ( X3538 @ ( esk4_1 @ X3538 ) )
| ( var @ ( esk2_1 @ X3538 ) ) )
& ( ~ ( X3538 @ ( lam @ ( esk5_1 @ X3538 ) ) )
| ( X3538 @ X3543 )
| ( X3538 @ ( esk4_1 @ X3538 ) )
| ( var @ ( esk2_1 @ X3538 ) ) )
& ( ( X3538 @ ( esk5_1 @ X3538 ) )
| ( X3538 @ X3543 )
| ~ ( X3538 @ ( ap @ ( esk3_1 @ X3538 ) @ ( esk4_1 @ X3538 ) ) )
| ( var @ ( esk2_1 @ X3538 ) ) )
& ( ~ ( X3538 @ ( lam @ ( esk5_1 @ X3538 ) ) )
| ( X3538 @ X3543 )
| ~ ( X3538 @ ( ap @ ( esk3_1 @ X3538 ) @ ( esk4_1 @ X3538 ) ) )
| ( var @ ( esk2_1 @ X3538 ) ) )
& ( ( X3538 @ ( esk5_1 @ X3538 ) )
| ( X3538 @ X3543 )
| ( X3538 @ ( esk3_1 @ X3538 ) )
| ~ ( X3538 @ ( esk2_1 @ X3538 ) ) )
& ( ~ ( X3538 @ ( lam @ ( esk5_1 @ X3538 ) ) )
| ( X3538 @ X3543 )
| ( X3538 @ ( esk3_1 @ X3538 ) )
| ~ ( X3538 @ ( esk2_1 @ X3538 ) ) )
& ( ( X3538 @ ( esk5_1 @ X3538 ) )
| ( X3538 @ X3543 )
| ( X3538 @ ( esk4_1 @ X3538 ) )
| ~ ( X3538 @ ( esk2_1 @ X3538 ) ) )
& ( ~ ( X3538 @ ( lam @ ( esk5_1 @ X3538 ) ) )
| ( X3538 @ X3543 )
| ( X3538 @ ( esk4_1 @ X3538 ) )
| ~ ( X3538 @ ( esk2_1 @ X3538 ) ) )
& ( ( X3538 @ ( esk5_1 @ X3538 ) )
| ( X3538 @ X3543 )
| ~ ( X3538 @ ( ap @ ( esk3_1 @ X3538 ) @ ( esk4_1 @ X3538 ) ) )
| ~ ( X3538 @ ( esk2_1 @ X3538 ) ) )
& ( ~ ( X3538 @ ( lam @ ( esk5_1 @ X3538 ) ) )
| ( X3538 @ X3543 )
| ~ ( X3538 @ ( ap @ ( esk3_1 @ X3538 ) @ ( esk4_1 @ X3538 ) ) )
| ~ ( X3538 @ ( esk2_1 @ X3538 ) ) )
& ( ( var @ ( esk6_3 @ X3544 @ X3545 @ X3546 ) )
| ~ ( X3544 @ X3545 )
| ~ ( var @ X3548 )
| ( X3544 @ ( sub @ X3548 @ ( push @ X3545 @ X3546 ) ) ) )
& ( ~ ( X3544 @ ( sub @ ( esk6_3 @ X3544 @ X3545 @ X3546 ) @ X3546 ) )
| ~ ( X3544 @ X3545 )
| ~ ( var @ X3548 )
| ( X3544 @ ( sub @ X3548 @ ( push @ X3545 @ X3546 ) ) ) )
& ( ( var @ ( esk10_3 @ X3549 @ X3554 @ X3555 ) )
| ( X3549 @ ( sub @ X3554 @ X3555 ) )
| ~ ( X3549 @ X3553 )
| ( X3549 @ ( sub @ ( esk9_1 @ X3549 ) @ ( push @ X3553 @ id ) ) )
| ( X3549 @ ( esk7_1 @ X3549 ) ) )
& ( ~ ( X3549 @ ( sub @ ( esk10_3 @ X3549 @ X3554 @ X3555 ) @ X3555 ) )
| ( X3549 @ ( sub @ X3554 @ X3555 ) )
| ~ ( X3549 @ X3553 )
| ( X3549 @ ( sub @ ( esk9_1 @ X3549 ) @ ( push @ X3553 @ id ) ) )
| ( X3549 @ ( esk7_1 @ X3549 ) ) )
& ( ( var @ ( esk10_3 @ X3549 @ X3554 @ X3555 ) )
| ( X3549 @ ( sub @ X3554 @ X3555 ) )
| ~ ( X3549 @ ( lam @ ( esk9_1 @ X3549 ) ) )
| ( X3549 @ ( esk7_1 @ X3549 ) ) )
& ( ~ ( X3549 @ ( sub @ ( esk10_3 @ X3549 @ X3554 @ X3555 ) @ X3555 ) )
| ( X3549 @ ( sub @ X3554 @ X3555 ) )
| ~ ( X3549 @ ( lam @ ( esk9_1 @ X3549 ) ) )
| ( X3549 @ ( esk7_1 @ X3549 ) ) )
& ( ( var @ ( esk10_3 @ X3549 @ X3554 @ X3555 ) )
| ( X3549 @ ( sub @ X3554 @ X3555 ) )
| ~ ( X3549 @ X3553 )
| ( X3549 @ ( sub @ ( esk9_1 @ X3549 ) @ ( push @ X3553 @ id ) ) )
| ( X3549 @ ( esk8_1 @ X3549 ) ) )
& ( ~ ( X3549 @ ( sub @ ( esk10_3 @ X3549 @ X3554 @ X3555 ) @ X3555 ) )
| ( X3549 @ ( sub @ X3554 @ X3555 ) )
| ~ ( X3549 @ X3553 )
| ( X3549 @ ( sub @ ( esk9_1 @ X3549 ) @ ( push @ X3553 @ id ) ) )
| ( X3549 @ ( esk8_1 @ X3549 ) ) )
& ( ( var @ ( esk10_3 @ X3549 @ X3554 @ X3555 ) )
| ( X3549 @ ( sub @ X3554 @ X3555 ) )
| ~ ( X3549 @ ( lam @ ( esk9_1 @ X3549 ) ) )
| ( X3549 @ ( esk8_1 @ X3549 ) ) )
& ( ~ ( X3549 @ ( sub @ ( esk10_3 @ X3549 @ X3554 @ X3555 ) @ X3555 ) )
| ( X3549 @ ( sub @ X3554 @ X3555 ) )
| ~ ( X3549 @ ( lam @ ( esk9_1 @ X3549 ) ) )
| ( X3549 @ ( esk8_1 @ X3549 ) ) )
& ( ( var @ ( esk10_3 @ X3549 @ X3554 @ X3555 ) )
| ( X3549 @ ( sub @ X3554 @ X3555 ) )
| ~ ( X3549 @ X3553 )
| ( X3549 @ ( sub @ ( esk9_1 @ X3549 ) @ ( push @ X3553 @ id ) ) )
| ~ ( X3549 @ ( ap @ ( esk7_1 @ X3549 ) @ ( esk8_1 @ X3549 ) ) ) )
& ( ~ ( X3549 @ ( sub @ ( esk10_3 @ X3549 @ X3554 @ X3555 ) @ X3555 ) )
| ( X3549 @ ( sub @ X3554 @ X3555 ) )
| ~ ( X3549 @ X3553 )
| ( X3549 @ ( sub @ ( esk9_1 @ X3549 ) @ ( push @ X3553 @ id ) ) )
| ~ ( X3549 @ ( ap @ ( esk7_1 @ X3549 ) @ ( esk8_1 @ X3549 ) ) ) )
& ( ( var @ ( esk10_3 @ X3549 @ X3554 @ X3555 ) )
| ( X3549 @ ( sub @ X3554 @ X3555 ) )
| ~ ( X3549 @ ( lam @ ( esk9_1 @ X3549 ) ) )
| ~ ( X3549 @ ( ap @ ( esk7_1 @ X3549 ) @ ( esk8_1 @ X3549 ) ) ) )
& ( ~ ( X3549 @ ( sub @ ( esk10_3 @ X3549 @ X3554 @ X3555 ) @ X3555 ) )
| ( X3549 @ ( sub @ X3554 @ X3555 ) )
| ~ ( X3549 @ ( lam @ ( esk9_1 @ X3549 ) ) )
| ~ ( X3549 @ ( ap @ ( esk7_1 @ X3549 ) @ ( esk8_1 @ X3549 ) ) ) )
& ( ~ ( X3557 @ X3562 )
| ( X3557 @ ( sub @ ( esk14_1 @ X3557 ) @ ( push @ X3562 @ id ) ) )
| ( X3557 @ X3563 )
| ( X3557 @ ( esk12_1 @ X3557 ) )
| ( var @ ( esk11_1 @ X3557 ) ) )
& ( ~ ( X3557 @ ( lam @ ( esk14_1 @ X3557 ) ) )
| ( X3557 @ X3563 )
| ( X3557 @ ( esk12_1 @ X3557 ) )
| ( var @ ( esk11_1 @ X3557 ) ) )
& ( ~ ( X3557 @ X3562 )
| ( X3557 @ ( sub @ ( esk14_1 @ X3557 ) @ ( push @ X3562 @ id ) ) )
| ( X3557 @ X3563 )
| ( X3557 @ ( esk13_1 @ X3557 ) )
| ( var @ ( esk11_1 @ X3557 ) ) )
& ( ~ ( X3557 @ ( lam @ ( esk14_1 @ X3557 ) ) )
| ( X3557 @ X3563 )
| ( X3557 @ ( esk13_1 @ X3557 ) )
| ( var @ ( esk11_1 @ X3557 ) ) )
& ( ~ ( X3557 @ X3562 )
| ( X3557 @ ( sub @ ( esk14_1 @ X3557 ) @ ( push @ X3562 @ id ) ) )
| ( X3557 @ X3563 )
| ~ ( X3557 @ ( ap @ ( esk12_1 @ X3557 ) @ ( esk13_1 @ X3557 ) ) )
| ( var @ ( esk11_1 @ X3557 ) ) )
& ( ~ ( X3557 @ ( lam @ ( esk14_1 @ X3557 ) ) )
| ( X3557 @ X3563 )
| ~ ( X3557 @ ( ap @ ( esk12_1 @ X3557 ) @ ( esk13_1 @ X3557 ) ) )
| ( var @ ( esk11_1 @ X3557 ) ) )
& ( ~ ( X3557 @ X3562 )
| ( X3557 @ ( sub @ ( esk14_1 @ X3557 ) @ ( push @ X3562 @ id ) ) )
| ( X3557 @ X3563 )
| ( X3557 @ ( esk12_1 @ X3557 ) )
| ~ ( X3557 @ ( esk11_1 @ X3557 ) ) )
& ( ~ ( X3557 @ ( lam @ ( esk14_1 @ X3557 ) ) )
| ( X3557 @ X3563 )
| ( X3557 @ ( esk12_1 @ X3557 ) )
| ~ ( X3557 @ ( esk11_1 @ X3557 ) ) )
& ( ~ ( X3557 @ X3562 )
| ( X3557 @ ( sub @ ( esk14_1 @ X3557 ) @ ( push @ X3562 @ id ) ) )
| ( X3557 @ X3563 )
| ( X3557 @ ( esk13_1 @ X3557 ) )
| ~ ( X3557 @ ( esk11_1 @ X3557 ) ) )
& ( ~ ( X3557 @ ( lam @ ( esk14_1 @ X3557 ) ) )
| ( X3557 @ X3563 )
| ( X3557 @ ( esk13_1 @ X3557 ) )
| ~ ( X3557 @ ( esk11_1 @ X3557 ) ) )
& ( ~ ( X3557 @ X3562 )
| ( X3557 @ ( sub @ ( esk14_1 @ X3557 ) @ ( push @ X3562 @ id ) ) )
| ( X3557 @ X3563 )
| ~ ( X3557 @ ( ap @ ( esk12_1 @ X3557 ) @ ( esk13_1 @ X3557 ) ) )
| ~ ( X3557 @ ( esk11_1 @ X3557 ) ) )
& ( ~ ( X3557 @ ( lam @ ( esk14_1 @ X3557 ) ) )
| ( X3557 @ X3563 )
| ~ ( X3557 @ ( ap @ ( esk12_1 @ X3557 ) @ ( esk13_1 @ X3557 ) ) )
| ~ ( X3557 @ ( esk11_1 @ X3557 ) ) )
& ( ( comp @ ( comp @ X3564 @ X3565 ) @ X3566 )
= ( comp @ X3564 @ ( comp @ X3565 @ X3566 ) ) )
& ( ( comp @ id @ X3567 )
= X3567 )
& ( ( comp @ X3568 @ id )
= X3568 )
& ( ( sub @ ( sub @ X3569 @ X3570 ) @ X3571 )
= ( sub @ X3569 @ ( comp @ X3570 @ X3571 ) ) )
& ( ( sub @ X3572 @ id )
= X3572 )
& ( ( ( hoasap @ id @ X3573 @ id @ X3575 )
!= ( hoasap @ id @ X3574 @ id @ X3576 ) )
| ( X3573 = X3574 ) )
& ( ( ( hoasap @ id @ X3577 @ id @ X3579 )
!= ( hoasap @ id @ X3578 @ id @ X3580 ) )
| ( X3579 = X3580 ) )
& ( ( ( sub @ ( X3581 @ ( esk15_1 @ X3581 ) @ ( esk16_1 @ X3581 ) ) @ ( esk17_1 @ X3581 ) )
!= ( X3581 @ ( comp @ ( esk15_1 @ X3581 ) @ ( esk17_1 @ X3581 ) ) @ ( sub @ ( esk16_1 @ X3581 ) @ ( esk17_1 @ X3581 ) ) ) )
| ( ( sub @ ( X3585 @ ( esk18_2 @ X3581 @ X3585 ) @ ( esk19_2 @ X3581 @ X3585 ) ) @ ( esk20_2 @ X3581 @ X3585 ) )
!= ( X3585 @ ( comp @ ( esk18_2 @ X3581 @ X3585 ) @ ( esk20_2 @ X3581 @ X3585 ) ) @ ( sub @ ( esk19_2 @ X3581 @ X3585 ) @ ( esk20_2 @ X3581 @ X3585 ) ) ) )
| ( ( hoaslam @ id @ X3581 )
!= ( hoaslam @ id @ X3585 ) )
| ( ( X3581 @ X3589 @ X3590 )
= ( X3585 @ X3589 @ X3590 ) ) )
& ( ( ( sub @ ( X3591 @ ( esk21_1 @ X3591 ) @ ( esk22_1 @ X3591 ) ) @ ( esk23_1 @ X3591 ) )
!= ( X3591 @ ( comp @ ( esk21_1 @ X3591 ) @ ( esk23_1 @ X3591 ) ) @ ( sub @ ( esk22_1 @ X3591 ) @ ( esk23_1 @ X3591 ) ) ) )
| ( ( hoaslam @ id @ X3591 )
!= ( hoasap @ id @ X3595 @ id @ X3596 ) ) )
& ( ( ( sub @ ( X3597 @ ( esk24_1 @ X3597 ) @ ( esk25_1 @ X3597 ) ) @ ( esk26_1 @ X3597 ) )
!= ( X3597 @ ( comp @ ( esk24_1 @ X3597 ) @ ( esk26_1 @ X3597 ) ) @ ( sub @ ( esk25_1 @ X3597 ) @ ( esk26_1 @ X3597 ) ) ) )
| ~ ( var @ ( sub @ ( hoaslam @ id @ X3597 ) @ id ) ) )
& ( var @ ( sub @ ( hoasap @ id @ esk27_0 @ id @ esk28_0 ) @ id ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])])])])])]) ).
thf(c_0_47,plain,
! [X3482: subst,X3483: term,X3484: subst,X3485: term] :
( ( hoasap @ X3482 @ X3483 @ X3484 @ X3485 )
= ( ap @ ( sub @ X3483 @ X3484 ) @ X3485 ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[hoasap])]) ).
thf(c_0_48,negated_conjecture,
var @ ( sub @ ( hoasap @ id @ esk27_0 @ id @ esk28_0 ) @ id ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
thf(c_0_49,negated_conjecture,
! [X1: term] :
( ( sub @ X1 @ id )
= X1 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
thf(c_0_50,plain,
! [X3488: subst,X3489: term,X3490: subst,X3491: term] :
( ( hoasap @ X3488 @ X3489 @ X3490 @ X3491 )
= ( ap @ ( sub @ X3489 @ X3490 ) @ X3491 ) ),
inference(variable_rename,[status(thm)],[c_0_47]) ).
thf(c_0_51,negated_conjecture,
var @ ( hoasap @ id @ esk27_0 @ id @ esk28_0 ),
inference(rw,[status(thm)],[c_0_48,c_0_49]) ).
thf(c_0_52,plain,
! [X1: term,X3: subst,X4: subst,X2: term] :
( ( hoasap @ X3 @ X1 @ X4 @ X2 )
= ( ap @ ( sub @ X1 @ X4 ) @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
thf(c_0_53,negated_conjecture,
! [X1: term,X2: term] :
~ ( var @ ( ap @ X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
thf(c_0_54,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52]),c_0_49]),c_0_53]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ALG261^1 : TPTP v8.2.0. Bugfixed v5.2.0.
% 0.10/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat May 18 23:00:08 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.45 Running higher-order theorem proving
% 0.18/0.45 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.50 # Version: 3.1.0-ho
% 0.18/0.50 # Preprocessing class: HSMMSLSSLLLNHFA.
% 0.18/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.50 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.18/0.50 # Starting post_as_ho1 with 300s (1) cores
% 0.18/0.50 # Starting post_as_ho5 with 300s (1) cores
% 0.18/0.50 # Starting post_as_ho10 with 300s (1) cores
% 0.18/0.50 # post_as_ho1 with pid 20566 completed with status 0
% 0.18/0.50 # Result found by post_as_ho1
% 0.18/0.50 # Preprocessing class: HSMMSLSSLLLNHFA.
% 0.18/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.50 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.18/0.50 # Starting post_as_ho1 with 300s (1) cores
% 0.18/0.50 # No SInE strategy applied
% 0.18/0.50 # Search class: HGHSM-FFMS31-MHFMMMBN
% 0.18/0.50 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.50 # Starting new_ho_10 with 163s (1) cores
% 0.18/0.50 # new_ho_10 with pid 20575 completed with status 0
% 0.18/0.50 # Result found by new_ho_10
% 0.18/0.50 # Preprocessing class: HSMMSLSSLLLNHFA.
% 0.18/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.50 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.18/0.50 # Starting post_as_ho1 with 300s (1) cores
% 0.18/0.50 # No SInE strategy applied
% 0.18/0.50 # Search class: HGHSM-FFMS31-MHFMMMBN
% 0.18/0.50 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.50 # Starting new_ho_10 with 163s (1) cores
% 0.18/0.50 # Preprocessing time : 0.002 s
% 0.18/0.50 # Presaturation interreduction done
% 0.18/0.50
% 0.18/0.50 # Proof found!
% 0.18/0.50 # SZS status Theorem
% 0.18/0.50 # SZS output start CNFRefutation
% See solution above
% 0.18/0.50 # Parsed axioms : 238
% 0.18/0.50 # Removed by relevancy pruning/SinE : 0
% 0.18/0.50 # Initial clauses : 199
% 0.18/0.50 # Removed in clause preprocessing : 124
% 0.18/0.50 # Initial clauses in saturation : 75
% 0.18/0.50 # Processed clauses : 38
% 0.18/0.50 # ...of these trivial : 5
% 0.18/0.50 # ...subsumed : 1
% 0.18/0.50 # ...remaining for further processing : 32
% 0.18/0.50 # Other redundant clauses eliminated : 0
% 0.18/0.50 # Clauses deleted for lack of memory : 0
% 0.18/0.50 # Backward-subsumed : 0
% 0.18/0.50 # Backward-rewritten : 6
% 0.18/0.50 # Generated clauses : 0
% 0.18/0.50 # ...of the previous two non-redundant : 5
% 0.18/0.50 # ...aggressively subsumed : 0
% 0.18/0.50 # Contextual simplify-reflections : 0
% 0.18/0.50 # Paramodulations : 0
% 0.18/0.50 # Factorizations : 0
% 0.18/0.50 # NegExts : 0
% 0.18/0.50 # Equation resolutions : 0
% 0.18/0.50 # Disequality decompositions : 0
% 0.18/0.50 # Total rewrite steps : 21
% 0.18/0.50 # ...of those cached : 3
% 0.18/0.50 # Propositional unsat checks : 0
% 0.18/0.50 # Propositional check models : 0
% 0.18/0.50 # Propositional check unsatisfiable : 0
% 0.18/0.50 # Propositional clauses : 0
% 0.18/0.50 # Propositional clauses after purity: 0
% 0.18/0.50 # Propositional unsat core size : 0
% 0.18/0.50 # Propositional preprocessing time : 0.000
% 0.18/0.50 # Propositional encoding time : 0.000
% 0.18/0.50 # Propositional solver time : 0.000
% 0.18/0.50 # Success case prop preproc time : 0.000
% 0.18/0.50 # Success case prop encoding time : 0.000
% 0.18/0.50 # Success case prop solver time : 0.000
% 0.18/0.50 # Current number of processed clauses : 26
% 0.18/0.50 # Positive orientable unit clauses : 13
% 0.18/0.50 # Positive unorientable unit clauses: 0
% 0.18/0.50 # Negative unit clauses : 3
% 0.18/0.50 # Non-unit-clauses : 10
% 0.18/0.50 # Current number of unprocessed clauses: 39
% 0.18/0.50 # ...number of literals in the above : 162
% 0.18/0.50 # Current number of archived formulas : 0
% 0.18/0.50 # Current number of archived clauses : 6
% 0.18/0.50 # Clause-clause subsumption calls (NU) : 14
% 0.18/0.50 # Rec. Clause-clause subsumption calls : 9
% 0.18/0.50 # Non-unit clause-clause subsumptions : 0
% 0.18/0.50 # Unit Clause-clause subsumption calls : 4
% 0.18/0.50 # Rewrite failures with RHS unbound : 0
% 0.18/0.50 # BW rewrite match attempts : 8
% 0.18/0.50 # BW rewrite match successes : 8
% 0.18/0.50 # Condensation attempts : 38
% 0.18/0.50 # Condensation successes : 0
% 0.18/0.50 # Termbank termtop insertions : 32755
% 0.18/0.50 # Search garbage collected termcells : 4195
% 0.18/0.50
% 0.18/0.50 # -------------------------------------------------
% 0.18/0.50 # User time : 0.022 s
% 0.18/0.50 # System time : 0.009 s
% 0.18/0.50 # Total time : 0.031 s
% 0.18/0.50 # Maximum resident set size: 6072 pages
% 0.18/0.50
% 0.18/0.50 # -------------------------------------------------
% 0.18/0.50 # User time : 0.029 s
% 0.18/0.50 # System time : 0.013 s
% 0.18/0.50 # Total time : 0.042 s
% 0.18/0.50 # Maximum resident set size: 2080 pages
% 0.18/0.50 % E---3.1 exiting
% 0.18/0.50 % E exiting
%------------------------------------------------------------------------------