TSTP Solution File: ALG260^1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ALG260^1 : TPTP v8.2.0. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n018.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 0.44s 0.58s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 109
% Syntax : Number of formulae : 125 ( 14 unt; 72 typ; 0 def)
% Number of atoms : 318 ( 165 equ; 0 cnn)
% Maximal formula atoms : 68 ( 6 avg)
% Number of connectives : 2202 ( 107 ~; 146 |; 81 &;1597 @)
% ( 37 <=>; 234 =>; 0 <=; 0 <~>)
% Maximal formula depth : 161 ( 10 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 159 ( 159 >; 0 *; 0 +; 0 <<)
% Number of symbols : 72 ( 70 usr; 38 con; 0-4 aty)
% Number of variables : 470 ( 34 ^ 436 !; 0 ?; 470 :)
% 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_44,type,
hoasapinj1: $o ).
thf(decl_45,type,
ulamvar1: $o ).
thf(decl_48,type,
apnotvar: $o ).
thf(decl_53,type,
hoaslaminj: $o ).
thf(decl_67,type,
axapp: $o ).
thf(decl_71,type,
ulamvarind: $o ).
thf(decl_72,type,
induction: $o ).
thf(decl_78,type,
hoaslamnotvar_gthm: $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_0: subst > term > 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(hoaslamnotvar_gthm,axiom,
( hoaslamnotvar_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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoaslamnotvar_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,
hoaslamnotvar_gthm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
thf(hoaslam,axiom,
( hoaslam
= ( ^ [X3: subst,X12: subst > term > term] : ( lam @ ( X12 @ sh @ one ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoaslam) ).
thf(c_0_37,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_38,plain,
( hoasvar
= ( ^ [Z0: subst,Z1: term,Z2: subst] : ( var @ ( sub @ Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[hoasvar]) ).
thf(c_0_39,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_40,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_41,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_37,c_0_38]) ).
thf(c_0_42,axiom,
( hoaslamnotvar_gthm
= ( ! [X1474: term,X1475: term,X1476: subst] :
( ( sub @ ( ap @ X1474 @ X1475 ) @ X1476 )
= ( ap @ ( sub @ X1474 @ X1476 ) @ ( sub @ X1475 @ X1476 ) ) )
=> ( ! [X1477: term,X1478: subst] :
( ( sub @ one @ ( push @ X1477 @ X1478 ) )
= X1477 )
=> ( ! [X1479: term] :
( ( sub @ X1479 @ id )
= X1479 )
=> ( ! [X1480: term,X1481: subst] :
( ( sub @ ( lam @ X1480 ) @ X1481 )
= ( lam @ ( sub @ X1480 @ ( push @ one @ ( comp @ X1481 @ sh ) ) ) ) )
=> ( ! [X1482: term,X1483: subst,X1484: subst] :
( ( sub @ ( sub @ X1482 @ X1483 ) @ X1484 )
= ( sub @ X1482 @ ( comp @ X1483 @ X1484 ) ) )
=> ( ! [X1485: subst] :
( ( comp @ id @ X1485 )
= X1485 )
=> ( ! [X1486: term,X1487: subst] :
( ( comp @ sh @ ( push @ X1486 @ X1487 ) )
= X1487 )
=> ( ! [X1488: subst,X1489: subst,X1490: subst] :
( ( comp @ ( comp @ X1488 @ X1489 ) @ X1490 )
= ( comp @ X1488 @ ( comp @ X1489 @ X1490 ) ) )
=> ( ! [X1491: term,X1492: subst,X1493: subst] :
( ( comp @ ( push @ X1491 @ X1492 ) @ X1493 )
= ( push @ ( sub @ X1491 @ X1493 ) @ ( comp @ X1492 @ X1493 ) ) )
=> ( ! [X1494: subst] :
( ( comp @ X1494 @ id )
= X1494 )
=> ( ( ( push @ one @ sh )
= id )
=> ( ! [X1495: subst] :
( ( push @ ( sub @ one @ X1495 ) @ ( comp @ sh @ X1495 ) )
= X1495 )
=> ( ( var @ one )
=> ( ! [X1496: term] :
( ( var @ X1496 )
=> ( var @ ( sub @ X1496 @ sh ) ) )
=> ( ! [X1497: term > $o] :
( ( X1497 @ one )
=> ( ! [X1498: term] :
( ( var @ X1498 )
=> ( ( X1497 @ X1498 )
=> ( X1497 @ ( sub @ X1498 @ sh ) ) ) )
=> ! [X1499: term] :
( ( var @ X1499 )
=> ( X1497 @ X1499 ) ) ) )
=> ( ! [X1500: term,X1501: term,X1502: term,X1503: term] :
( ( ( ap @ X1500 @ X1502 )
= ( ap @ X1501 @ X1503 ) )
=> ( X1500 = X1501 ) )
=> ( ! [X1504: term,X1505: term,X1506: term,X1507: term] :
( ( ( ap @ X1504 @ X1506 )
= ( ap @ X1505 @ X1507 ) )
=> ( X1506 = X1507 ) )
=> ( ! [X1508: term,X1509: term] :
( ( ( lam @ X1508 )
= ( lam @ X1509 ) )
=> ( X1508 = X1509 ) )
=> ( ! [X1510: term,X1511: term] :
( ( ( sub @ X1510 @ sh )
= ( sub @ X1511 @ sh ) )
=> ( X1510 = X1511 ) )
=> ( ! [X1512: term,X1513: term,X1514: term] :
( ( lam @ X1512 )
!= ( ap @ X1513 @ X1514 ) )
=> ( ! [X1515: term,X1516: term] :
~ ( var @ ( ap @ X1515 @ X1516 ) )
=> ( ! [X1517: term] :
~ ( var @ ( lam @ X1517 ) )
=> ( ! [X1518: term > $o] :
( ! [X1519: term] :
( ( var @ X1519 )
=> ( X1518 @ X1519 ) )
=> ( ! [X1520: term,X1521: term] :
( ( X1518 @ X1520 )
=> ( ( X1518 @ X1521 )
=> ( X1518 @ ( ap @ X1520 @ X1521 ) ) ) )
=> ( ! [X1522: term] :
( ( X1518 @ X1522 )
=> ( X1518 @ ( lam @ X1522 ) ) )
=> ! [X1523: term] : ( X1518 @ X1523 ) ) ) )
=> ( ! [X1524: term > $o,X1525: term,X1526: subst] :
( ! [X1527: term] :
( ( var @ X1527 )
=> ( X1524 @ ( sub @ X1527 @ X1526 ) ) )
=> ( ( X1524 @ X1525 )
=> ! [X1528: term] :
( ( var @ X1528 )
=> ( X1524 @ ( sub @ X1528 @ ( push @ X1525 @ X1526 ) ) ) ) ) )
=> ( ! [X1529: term > $o] :
( ! [X1530: term,X1531: term] :
( ( X1529 @ X1530 )
=> ( ( X1529 @ X1531 )
=> ( X1529 @ ( ap @ X1530 @ X1531 ) ) ) )
=> ( ! [X1532: term] :
( ! [X1533: term] :
( ( X1529 @ X1533 )
=> ( X1529 @ ( sub @ X1532 @ ( push @ X1533 @ id ) ) ) )
=> ( X1529 @ ( lam @ X1532 ) ) )
=> ! [X1534: term,X1535: subst] :
( ! [X1536: term] :
( ( var @ X1536 )
=> ( X1529 @ ( sub @ X1536 @ X1535 ) ) )
=> ( X1529 @ ( sub @ X1534 @ X1535 ) ) ) ) )
=> ( ! [X1537: term > $o] :
( ! [X1538: term] :
( ( var @ X1538 )
=> ( X1537 @ X1538 ) )
=> ( ! [X1539: term,X1540: term] :
( ( X1537 @ X1539 )
=> ( ( X1537 @ X1540 )
=> ( X1537 @ ( ap @ X1539 @ X1540 ) ) ) )
=> ( ! [X1541: term] :
( ! [X1542: term] :
( ( X1537 @ X1542 )
=> ( X1537 @ ( sub @ X1541 @ ( push @ X1542 @ id ) ) ) )
=> ( X1537 @ ( lam @ X1541 ) ) )
=> ! [X1543: term] : ( X1537 @ X1543 ) ) ) )
=> ( ( ! [X1544: subst,X1545: subst,X1546: subst] :
( ( comp @ ( comp @ X1544 @ X1545 ) @ X1546 )
= ( comp @ X1544 @ ( comp @ X1545 @ X1546 ) ) )
& ! [X1547: subst] :
( ( comp @ id @ X1547 )
= X1547 )
& ! [X1548: subst] :
( ( comp @ X1548 @ id )
= X1548 ) )
=> ( ( ! [X1549: term,X1550: subst,X1551: subst] :
( ( sub @ ( sub @ X1549 @ X1550 ) @ X1551 )
= ( sub @ X1549 @ ( comp @ X1550 @ X1551 ) ) )
& ! [X1552: term] :
( ( sub @ X1552 @ id )
= X1552 ) )
=> ( ! [X1553: term,X1554: term,X1555: term,X1556: term] :
( ( ( hoasap @ id @ X1553 @ id @ X1555 )
= ( hoasap @ id @ X1554 @ id @ X1556 ) )
=> ( X1553 = X1554 ) )
=> ( ! [X1557: term,X1558: term,X1559: term,X1560: term] :
( ( ( hoasap @ id @ X1557 @ id @ X1559 )
= ( hoasap @ id @ X1558 @ id @ X1560 ) )
=> ( X1559 = X1560 ) )
=> ( ! [X1561: subst > term > term] :
( ! [X1562: subst,X1563: term,X1564: subst] :
( ( sub @ ( X1561 @ X1562 @ X1563 ) @ X1564 )
= ( X1561 @ ( comp @ X1562 @ X1564 ) @ ( sub @ X1563 @ X1564 ) ) )
=> ! [X1565: subst > term > term] :
( ! [X1566: subst,X1567: term,X1568: subst] :
( ( sub @ ( X1565 @ X1566 @ X1567 ) @ X1568 )
= ( X1565 @ ( comp @ X1566 @ X1568 ) @ ( sub @ X1567 @ X1568 ) ) )
=> ( ( ( hoaslam @ id
@ ^ [Z0: subst,Z1: term] : ( X1561 @ Z0 @ Z1 ) )
= ( hoaslam @ id
@ ^ [Z0: subst,Z1: term] : ( X1565 @ Z0 @ Z1 ) ) )
=> ! [X1569: subst,X1570: term] :
( ( X1561 @ X1569 @ X1570 )
= ( X1565 @ X1569 @ X1570 ) ) ) ) )
=> ( ! [X1571: subst > term > term] :
( ! [X1572: subst,X1573: term,X1574: subst] :
( ( sub @ ( X1571 @ X1572 @ X1573 ) @ X1574 )
= ( X1571 @ ( comp @ X1572 @ X1574 ) @ ( sub @ X1573 @ X1574 ) ) )
=> ! [X1575: term,X1576: term] :
( ( hoaslam @ id
@ ^ [Z0: subst,Z1: term] : ( X1571 @ Z0 @ Z1 ) )
!= ( hoasap @ id @ X1575 @ id @ X1576 ) ) )
=> ! [X1577: subst > term > term] :
( ! [X1578: subst,X1579: term,X1580: subst] :
( ( sub @ ( X1577 @ X1578 @ X1579 ) @ X1580 )
= ( X1577 @ ( comp @ X1578 @ X1580 ) @ ( sub @ X1579 @ X1580 ) ) )
=> ~ ( var
@ ( sub
@ ( hoaslam @ id
@ ^ [Z0: subst,Z1: term] : ( X1577 @ Z0 @ Z1 ) )
@ 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)],[hoaslamnotvar_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_38]),hoasapinj1]),hoasapinj2]),c_0_39]),c_0_40]),c_0_41]) ).
thf(c_0_43,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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[thm]),c_0_42])])]) ).
thf(c_0_44,negated_conjecture,
! [X3492: term,X3493: term,X3494: subst,X3495: term,X3496: subst,X3497: term,X3498: term,X3499: subst,X3500: term,X3501: subst,X3502: subst,X3503: subst,X3504: term,X3505: subst,X3506: subst,X3507: subst,X3508: subst,X3509: term,X3510: subst,X3511: subst,X3512: subst,X3513: subst,X3514: term,X3515: term > $o,X3517: term,X3518: term,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 > $o,X3541: term,X3542: term > $o,X3543: term,X3544: subst,X3546: term,X3547: term > $o,X3551: term,X3552: term,X3553: subst,X3555: term > $o,X3560: term,X3561: term,X3562: subst,X3563: subst,X3564: subst,X3565: subst,X3566: subst,X3567: term,X3568: subst,X3569: subst,X3570: term,X3571: term,X3572: term,X3573: term,X3574: term,X3575: term,X3576: term,X3577: term,X3578: term,X3579: subst > term > term,X3583: subst > term > term,X3587: subst,X3588: term,X3589: subst > term > term,X3593: term,X3594: term,X3596: subst,X3597: term,X3598: subst] :
( ( ( sub @ ( ap @ X3492 @ X3493 ) @ X3494 )
= ( ap @ ( sub @ X3492 @ X3494 ) @ ( sub @ X3493 @ X3494 ) ) )
& ( ( sub @ one @ ( push @ X3495 @ X3496 ) )
= X3495 )
& ( ( sub @ X3497 @ id )
= X3497 )
& ( ( sub @ ( lam @ X3498 ) @ X3499 )
= ( lam @ ( sub @ X3498 @ ( push @ one @ ( comp @ X3499 @ sh ) ) ) ) )
& ( ( sub @ ( sub @ X3500 @ X3501 ) @ X3502 )
= ( sub @ X3500 @ ( comp @ X3501 @ X3502 ) ) )
& ( ( comp @ id @ X3503 )
= X3503 )
& ( ( comp @ sh @ ( push @ X3504 @ X3505 ) )
= X3505 )
& ( ( comp @ ( comp @ X3506 @ X3507 ) @ X3508 )
= ( comp @ X3506 @ ( comp @ X3507 @ X3508 ) ) )
& ( ( comp @ ( push @ X3509 @ X3510 ) @ X3511 )
= ( push @ ( sub @ X3509 @ X3511 ) @ ( comp @ X3510 @ X3511 ) ) )
& ( ( comp @ X3512 @ id )
= X3512 )
& ( ( push @ one @ sh )
= id )
& ( ( push @ ( sub @ one @ X3513 ) @ ( comp @ sh @ X3513 ) )
= X3513 )
& ( var @ one )
& ( ~ ( var @ X3514 )
| ( var @ ( sub @ X3514 @ sh ) ) )
& ( ( var @ ( esk1_1 @ X3515 ) )
| ~ ( var @ X3517 )
| ( X3515 @ X3517 )
| ~ ( X3515 @ one ) )
& ( ( X3515 @ ( esk1_1 @ X3515 ) )
| ~ ( var @ X3517 )
| ( X3515 @ X3517 )
| ~ ( X3515 @ one ) )
& ( ~ ( X3515 @ ( sub @ ( esk1_1 @ X3515 ) @ sh ) )
| ~ ( var @ X3517 )
| ( X3515 @ X3517 )
| ~ ( X3515 @ one ) )
& ( ( ( ap @ X3518 @ X3520 )
!= ( ap @ X3519 @ X3521 ) )
| ( X3518 = X3519 ) )
& ( ( ( ap @ X3522 @ X3524 )
!= ( ap @ X3523 @ X3525 ) )
| ( X3524 = X3525 ) )
& ( ( ( lam @ X3526 )
!= ( lam @ X3527 ) )
| ( X3526 = X3527 ) )
& ( ( ( sub @ X3528 @ sh )
!= ( sub @ X3529 @ sh ) )
| ( X3528 = X3529 ) )
& ( ( lam @ X3530 )
!= ( ap @ X3531 @ X3532 ) )
& ~ ( var @ ( ap @ X3533 @ X3534 ) )
& ~ ( var @ ( lam @ X3535 ) )
& ( ( X3536 @ ( esk5_1 @ X3536 ) )
| ( X3536 @ X3541 )
| ( X3536 @ ( esk3_1 @ X3536 ) )
| ( var @ ( esk2_1 @ X3536 ) ) )
& ( ~ ( X3536 @ ( lam @ ( esk5_1 @ X3536 ) ) )
| ( X3536 @ X3541 )
| ( X3536 @ ( esk3_1 @ X3536 ) )
| ( var @ ( esk2_1 @ X3536 ) ) )
& ( ( X3536 @ ( esk5_1 @ X3536 ) )
| ( X3536 @ X3541 )
| ( X3536 @ ( esk4_1 @ X3536 ) )
| ( var @ ( esk2_1 @ X3536 ) ) )
& ( ~ ( X3536 @ ( lam @ ( esk5_1 @ X3536 ) ) )
| ( X3536 @ X3541 )
| ( X3536 @ ( esk4_1 @ X3536 ) )
| ( var @ ( esk2_1 @ X3536 ) ) )
& ( ( X3536 @ ( esk5_1 @ X3536 ) )
| ( X3536 @ X3541 )
| ~ ( X3536 @ ( ap @ ( esk3_1 @ X3536 ) @ ( esk4_1 @ X3536 ) ) )
| ( var @ ( esk2_1 @ X3536 ) ) )
& ( ~ ( X3536 @ ( lam @ ( esk5_1 @ X3536 ) ) )
| ( X3536 @ X3541 )
| ~ ( X3536 @ ( ap @ ( esk3_1 @ X3536 ) @ ( esk4_1 @ X3536 ) ) )
| ( var @ ( esk2_1 @ X3536 ) ) )
& ( ( X3536 @ ( esk5_1 @ X3536 ) )
| ( X3536 @ X3541 )
| ( X3536 @ ( esk3_1 @ X3536 ) )
| ~ ( X3536 @ ( esk2_1 @ X3536 ) ) )
& ( ~ ( X3536 @ ( lam @ ( esk5_1 @ X3536 ) ) )
| ( X3536 @ X3541 )
| ( X3536 @ ( esk3_1 @ X3536 ) )
| ~ ( X3536 @ ( esk2_1 @ X3536 ) ) )
& ( ( X3536 @ ( esk5_1 @ X3536 ) )
| ( X3536 @ X3541 )
| ( X3536 @ ( esk4_1 @ X3536 ) )
| ~ ( X3536 @ ( esk2_1 @ X3536 ) ) )
& ( ~ ( X3536 @ ( lam @ ( esk5_1 @ X3536 ) ) )
| ( X3536 @ X3541 )
| ( X3536 @ ( esk4_1 @ X3536 ) )
| ~ ( X3536 @ ( esk2_1 @ X3536 ) ) )
& ( ( X3536 @ ( esk5_1 @ X3536 ) )
| ( X3536 @ X3541 )
| ~ ( X3536 @ ( ap @ ( esk3_1 @ X3536 ) @ ( esk4_1 @ X3536 ) ) )
| ~ ( X3536 @ ( esk2_1 @ X3536 ) ) )
& ( ~ ( X3536 @ ( lam @ ( esk5_1 @ X3536 ) ) )
| ( X3536 @ X3541 )
| ~ ( X3536 @ ( ap @ ( esk3_1 @ X3536 ) @ ( esk4_1 @ X3536 ) ) )
| ~ ( X3536 @ ( esk2_1 @ X3536 ) ) )
& ( ( var @ ( esk6_3 @ X3542 @ X3543 @ X3544 ) )
| ~ ( X3542 @ X3543 )
| ~ ( var @ X3546 )
| ( X3542 @ ( sub @ X3546 @ ( push @ X3543 @ X3544 ) ) ) )
& ( ~ ( X3542 @ ( sub @ ( esk6_3 @ X3542 @ X3543 @ X3544 ) @ X3544 ) )
| ~ ( X3542 @ X3543 )
| ~ ( var @ X3546 )
| ( X3542 @ ( sub @ X3546 @ ( push @ X3543 @ X3544 ) ) ) )
& ( ( var @ ( esk10_3 @ X3547 @ X3552 @ X3553 ) )
| ( X3547 @ ( sub @ X3552 @ X3553 ) )
| ~ ( X3547 @ X3551 )
| ( X3547 @ ( sub @ ( esk9_1 @ X3547 ) @ ( push @ X3551 @ id ) ) )
| ( X3547 @ ( esk7_1 @ X3547 ) ) )
& ( ~ ( X3547 @ ( sub @ ( esk10_3 @ X3547 @ X3552 @ X3553 ) @ X3553 ) )
| ( X3547 @ ( sub @ X3552 @ X3553 ) )
| ~ ( X3547 @ X3551 )
| ( X3547 @ ( sub @ ( esk9_1 @ X3547 ) @ ( push @ X3551 @ id ) ) )
| ( X3547 @ ( esk7_1 @ X3547 ) ) )
& ( ( var @ ( esk10_3 @ X3547 @ X3552 @ X3553 ) )
| ( X3547 @ ( sub @ X3552 @ X3553 ) )
| ~ ( X3547 @ ( lam @ ( esk9_1 @ X3547 ) ) )
| ( X3547 @ ( esk7_1 @ X3547 ) ) )
& ( ~ ( X3547 @ ( sub @ ( esk10_3 @ X3547 @ X3552 @ X3553 ) @ X3553 ) )
| ( X3547 @ ( sub @ X3552 @ X3553 ) )
| ~ ( X3547 @ ( lam @ ( esk9_1 @ X3547 ) ) )
| ( X3547 @ ( esk7_1 @ X3547 ) ) )
& ( ( var @ ( esk10_3 @ X3547 @ X3552 @ X3553 ) )
| ( X3547 @ ( sub @ X3552 @ X3553 ) )
| ~ ( X3547 @ X3551 )
| ( X3547 @ ( sub @ ( esk9_1 @ X3547 ) @ ( push @ X3551 @ id ) ) )
| ( X3547 @ ( esk8_1 @ X3547 ) ) )
& ( ~ ( X3547 @ ( sub @ ( esk10_3 @ X3547 @ X3552 @ X3553 ) @ X3553 ) )
| ( X3547 @ ( sub @ X3552 @ X3553 ) )
| ~ ( X3547 @ X3551 )
| ( X3547 @ ( sub @ ( esk9_1 @ X3547 ) @ ( push @ X3551 @ id ) ) )
| ( X3547 @ ( esk8_1 @ X3547 ) ) )
& ( ( var @ ( esk10_3 @ X3547 @ X3552 @ X3553 ) )
| ( X3547 @ ( sub @ X3552 @ X3553 ) )
| ~ ( X3547 @ ( lam @ ( esk9_1 @ X3547 ) ) )
| ( X3547 @ ( esk8_1 @ X3547 ) ) )
& ( ~ ( X3547 @ ( sub @ ( esk10_3 @ X3547 @ X3552 @ X3553 ) @ X3553 ) )
| ( X3547 @ ( sub @ X3552 @ X3553 ) )
| ~ ( X3547 @ ( lam @ ( esk9_1 @ X3547 ) ) )
| ( X3547 @ ( esk8_1 @ X3547 ) ) )
& ( ( var @ ( esk10_3 @ X3547 @ X3552 @ X3553 ) )
| ( X3547 @ ( sub @ X3552 @ X3553 ) )
| ~ ( X3547 @ X3551 )
| ( X3547 @ ( sub @ ( esk9_1 @ X3547 ) @ ( push @ X3551 @ id ) ) )
| ~ ( X3547 @ ( ap @ ( esk7_1 @ X3547 ) @ ( esk8_1 @ X3547 ) ) ) )
& ( ~ ( X3547 @ ( sub @ ( esk10_3 @ X3547 @ X3552 @ X3553 ) @ X3553 ) )
| ( X3547 @ ( sub @ X3552 @ X3553 ) )
| ~ ( X3547 @ X3551 )
| ( X3547 @ ( sub @ ( esk9_1 @ X3547 ) @ ( push @ X3551 @ id ) ) )
| ~ ( X3547 @ ( ap @ ( esk7_1 @ X3547 ) @ ( esk8_1 @ X3547 ) ) ) )
& ( ( var @ ( esk10_3 @ X3547 @ X3552 @ X3553 ) )
| ( X3547 @ ( sub @ X3552 @ X3553 ) )
| ~ ( X3547 @ ( lam @ ( esk9_1 @ X3547 ) ) )
| ~ ( X3547 @ ( ap @ ( esk7_1 @ X3547 ) @ ( esk8_1 @ X3547 ) ) ) )
& ( ~ ( X3547 @ ( sub @ ( esk10_3 @ X3547 @ X3552 @ X3553 ) @ X3553 ) )
| ( X3547 @ ( sub @ X3552 @ X3553 ) )
| ~ ( X3547 @ ( lam @ ( esk9_1 @ X3547 ) ) )
| ~ ( X3547 @ ( ap @ ( esk7_1 @ X3547 ) @ ( esk8_1 @ X3547 ) ) ) )
& ( ~ ( X3555 @ X3560 )
| ( X3555 @ ( sub @ ( esk14_1 @ X3555 ) @ ( push @ X3560 @ id ) ) )
| ( X3555 @ X3561 )
| ( X3555 @ ( esk12_1 @ X3555 ) )
| ( var @ ( esk11_1 @ X3555 ) ) )
& ( ~ ( X3555 @ ( lam @ ( esk14_1 @ X3555 ) ) )
| ( X3555 @ X3561 )
| ( X3555 @ ( esk12_1 @ X3555 ) )
| ( var @ ( esk11_1 @ X3555 ) ) )
& ( ~ ( X3555 @ X3560 )
| ( X3555 @ ( sub @ ( esk14_1 @ X3555 ) @ ( push @ X3560 @ id ) ) )
| ( X3555 @ X3561 )
| ( X3555 @ ( esk13_1 @ X3555 ) )
| ( var @ ( esk11_1 @ X3555 ) ) )
& ( ~ ( X3555 @ ( lam @ ( esk14_1 @ X3555 ) ) )
| ( X3555 @ X3561 )
| ( X3555 @ ( esk13_1 @ X3555 ) )
| ( var @ ( esk11_1 @ X3555 ) ) )
& ( ~ ( X3555 @ X3560 )
| ( X3555 @ ( sub @ ( esk14_1 @ X3555 ) @ ( push @ X3560 @ id ) ) )
| ( X3555 @ X3561 )
| ~ ( X3555 @ ( ap @ ( esk12_1 @ X3555 ) @ ( esk13_1 @ X3555 ) ) )
| ( var @ ( esk11_1 @ X3555 ) ) )
& ( ~ ( X3555 @ ( lam @ ( esk14_1 @ X3555 ) ) )
| ( X3555 @ X3561 )
| ~ ( X3555 @ ( ap @ ( esk12_1 @ X3555 ) @ ( esk13_1 @ X3555 ) ) )
| ( var @ ( esk11_1 @ X3555 ) ) )
& ( ~ ( X3555 @ X3560 )
| ( X3555 @ ( sub @ ( esk14_1 @ X3555 ) @ ( push @ X3560 @ id ) ) )
| ( X3555 @ X3561 )
| ( X3555 @ ( esk12_1 @ X3555 ) )
| ~ ( X3555 @ ( esk11_1 @ X3555 ) ) )
& ( ~ ( X3555 @ ( lam @ ( esk14_1 @ X3555 ) ) )
| ( X3555 @ X3561 )
| ( X3555 @ ( esk12_1 @ X3555 ) )
| ~ ( X3555 @ ( esk11_1 @ X3555 ) ) )
& ( ~ ( X3555 @ X3560 )
| ( X3555 @ ( sub @ ( esk14_1 @ X3555 ) @ ( push @ X3560 @ id ) ) )
| ( X3555 @ X3561 )
| ( X3555 @ ( esk13_1 @ X3555 ) )
| ~ ( X3555 @ ( esk11_1 @ X3555 ) ) )
& ( ~ ( X3555 @ ( lam @ ( esk14_1 @ X3555 ) ) )
| ( X3555 @ X3561 )
| ( X3555 @ ( esk13_1 @ X3555 ) )
| ~ ( X3555 @ ( esk11_1 @ X3555 ) ) )
& ( ~ ( X3555 @ X3560 )
| ( X3555 @ ( sub @ ( esk14_1 @ X3555 ) @ ( push @ X3560 @ id ) ) )
| ( X3555 @ X3561 )
| ~ ( X3555 @ ( ap @ ( esk12_1 @ X3555 ) @ ( esk13_1 @ X3555 ) ) )
| ~ ( X3555 @ ( esk11_1 @ X3555 ) ) )
& ( ~ ( X3555 @ ( lam @ ( esk14_1 @ X3555 ) ) )
| ( X3555 @ X3561 )
| ~ ( X3555 @ ( ap @ ( esk12_1 @ X3555 ) @ ( esk13_1 @ X3555 ) ) )
| ~ ( X3555 @ ( esk11_1 @ X3555 ) ) )
& ( ( comp @ ( comp @ X3562 @ X3563 ) @ X3564 )
= ( comp @ X3562 @ ( comp @ X3563 @ X3564 ) ) )
& ( ( comp @ id @ X3565 )
= X3565 )
& ( ( comp @ X3566 @ id )
= X3566 )
& ( ( sub @ ( sub @ X3567 @ X3568 ) @ X3569 )
= ( sub @ X3567 @ ( comp @ X3568 @ X3569 ) ) )
& ( ( sub @ X3570 @ id )
= X3570 )
& ( ( ( hoasap @ id @ X3571 @ id @ X3573 )
!= ( hoasap @ id @ X3572 @ id @ X3574 ) )
| ( X3571 = X3572 ) )
& ( ( ( hoasap @ id @ X3575 @ id @ X3577 )
!= ( hoasap @ id @ X3576 @ id @ X3578 ) )
| ( X3577 = X3578 ) )
& ( ( ( sub @ ( X3579 @ ( esk15_1 @ X3579 ) @ ( esk16_1 @ X3579 ) ) @ ( esk17_1 @ X3579 ) )
!= ( X3579 @ ( comp @ ( esk15_1 @ X3579 ) @ ( esk17_1 @ X3579 ) ) @ ( sub @ ( esk16_1 @ X3579 ) @ ( esk17_1 @ X3579 ) ) ) )
| ( ( sub @ ( X3583 @ ( esk18_2 @ X3579 @ X3583 ) @ ( esk19_2 @ X3579 @ X3583 ) ) @ ( esk20_2 @ X3579 @ X3583 ) )
!= ( X3583 @ ( comp @ ( esk18_2 @ X3579 @ X3583 ) @ ( esk20_2 @ X3579 @ X3583 ) ) @ ( sub @ ( esk19_2 @ X3579 @ X3583 ) @ ( esk20_2 @ X3579 @ X3583 ) ) ) )
| ( ( hoaslam @ id @ X3579 )
!= ( hoaslam @ id @ X3583 ) )
| ( ( X3579 @ X3587 @ X3588 )
= ( X3583 @ X3587 @ X3588 ) ) )
& ( ( ( sub @ ( X3589 @ ( esk21_1 @ X3589 ) @ ( esk22_1 @ X3589 ) ) @ ( esk23_1 @ X3589 ) )
!= ( X3589 @ ( comp @ ( esk21_1 @ X3589 ) @ ( esk23_1 @ X3589 ) ) @ ( sub @ ( esk22_1 @ X3589 ) @ ( esk23_1 @ X3589 ) ) ) )
| ( ( hoaslam @ id @ X3589 )
!= ( hoasap @ id @ X3593 @ id @ X3594 ) ) )
& ( ( sub @ ( esk24_0 @ X3596 @ X3597 ) @ X3598 )
= ( esk24_0 @ ( comp @ X3596 @ X3598 ) @ ( sub @ X3597 @ X3598 ) ) )
& ( var @ ( sub @ ( hoaslam @ id @ esk24_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_43])])])])])])]) ).
thf(c_0_45,plain,
! [X3484: subst,X3485: subst > term > term] :
( ( hoaslam @ X3484 @ X3485 )
= ( lam @ ( X3485 @ sh @ one ) ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[hoaslam])]) ).
thf(c_0_46,negated_conjecture,
var @ ( sub @ ( hoaslam @ id @ esk24_0 ) @ id ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
thf(c_0_47,negated_conjecture,
! [X1: term] :
( ( sub @ X1 @ id )
= X1 ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
thf(c_0_48,plain,
! [X3490: subst,X3491: subst > term > term] :
( ( hoaslam @ X3490 @ X3491 )
= ( lam @ ( X3491 @ sh @ one ) ) ),
inference(variable_rename,[status(thm)],[c_0_45]) ).
thf(c_0_49,negated_conjecture,
var @ ( hoaslam @ id @ esk24_0 ),
inference(rw,[status(thm)],[c_0_46,c_0_47]) ).
thf(c_0_50,plain,
! [X3: subst,X12: subst > term > term] :
( ( hoaslam @ X3 @ X12 )
= ( lam @ ( X12 @ sh @ one ) ) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
thf(c_0_51,negated_conjecture,
! [X1: term] :
~ ( var @ ( lam @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
thf(c_0_52,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_50]),c_0_51]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : ALG260^1 : TPTP v8.2.0. Bugfixed v5.2.0.
% 0.14/0.15 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat May 18 23:43:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.21/0.51 Running higher-order theorem proving
% 0.21/0.51 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
% 0.44/0.58 # Version: 3.1.0-ho
% 0.44/0.58 # Preprocessing class: HSMMSLSSLLLNHFA.
% 0.44/0.58 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.58 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.44/0.58 # Starting post_as_ho1 with 300s (1) cores
% 0.44/0.58 # Starting post_as_ho5 with 300s (1) cores
% 0.44/0.58 # Starting post_as_ho10 with 300s (1) cores
% 0.44/0.58 # new_ho_10_cnf2 with pid 11488 completed with status 0
% 0.44/0.58 # Result found by new_ho_10_cnf2
% 0.44/0.58 # Preprocessing class: HSMMSLSSLLLNHFA.
% 0.44/0.58 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.58 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.44/0.58 # No SInE strategy applied
% 0.44/0.58 # Search class: HGHSM-FFMS31-MHFMMMBN
% 0.44/0.58 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.44/0.58 # Starting new_ho_10 with 811s (1) cores
% 0.44/0.58 # Starting new_ho_10_cnf2 with 151s (1) cores
% 0.44/0.58 # Starting ehoh_best_sine_rwall with 136s (1) cores
% 0.44/0.58 # Starting lpo1_def_fix with 136s (1) cores
% 0.44/0.58 # Starting ehoh_best8_lambda with 136s (1) cores
% 0.44/0.58 # new_ho_10 with pid 11493 completed with status 0
% 0.44/0.58 # Result found by new_ho_10
% 0.44/0.58 # Preprocessing class: HSMMSLSSLLLNHFA.
% 0.44/0.58 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.58 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.44/0.58 # No SInE strategy applied
% 0.44/0.58 # Search class: HGHSM-FFMS31-MHFMMMBN
% 0.44/0.58 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.44/0.58 # Starting new_ho_10 with 811s (1) cores
% 0.44/0.58 # Preprocessing time : 0.005 s
% 0.44/0.58 # Presaturation interreduction done
% 0.44/0.58
% 0.44/0.58 # Proof found!
% 0.44/0.58 # SZS status Theorem
% 0.44/0.58 # SZS output start CNFRefutation
% See solution above
% 0.44/0.58 # Parsed axioms : 238
% 0.44/0.58 # Removed by relevancy pruning/SinE : 0
% 0.44/0.58 # Initial clauses : 199
% 0.44/0.58 # Removed in clause preprocessing : 124
% 0.44/0.58 # Initial clauses in saturation : 75
% 0.44/0.58 # Processed clauses : 20
% 0.44/0.58 # ...of these trivial : 3
% 0.44/0.58 # ...subsumed : 0
% 0.44/0.58 # ...remaining for further processing : 17
% 0.44/0.58 # Other redundant clauses eliminated : 0
% 0.44/0.58 # Clauses deleted for lack of memory : 0
% 0.44/0.58 # Backward-subsumed : 0
% 0.44/0.58 # Backward-rewritten : 3
% 0.44/0.58 # Generated clauses : 0
% 0.44/0.58 # ...of the previous two non-redundant : 2
% 0.44/0.58 # ...aggressively subsumed : 0
% 0.44/0.58 # Contextual simplify-reflections : 0
% 0.44/0.58 # Paramodulations : 0
% 0.44/0.58 # Factorizations : 0
% 0.44/0.58 # NegExts : 0
% 0.44/0.58 # Equation resolutions : 0
% 0.44/0.58 # Disequality decompositions : 0
% 0.44/0.58 # Total rewrite steps : 6
% 0.44/0.58 # ...of those cached : 0
% 0.44/0.58 # Propositional unsat checks : 0
% 0.44/0.58 # Propositional check models : 0
% 0.44/0.58 # Propositional check unsatisfiable : 0
% 0.44/0.58 # Propositional clauses : 0
% 0.44/0.58 # Propositional clauses after purity: 0
% 0.44/0.58 # Propositional unsat core size : 0
% 0.44/0.58 # Propositional preprocessing time : 0.000
% 0.44/0.58 # Propositional encoding time : 0.000
% 0.44/0.58 # Propositional solver time : 0.000
% 0.44/0.58 # Success case prop preproc time : 0.000
% 0.44/0.58 # Success case prop encoding time : 0.000
% 0.44/0.58 # Success case prop solver time : 0.000
% 0.44/0.58 # Current number of processed clauses : 14
% 0.44/0.58 # Positive orientable unit clauses : 8
% 0.44/0.58 # Positive unorientable unit clauses: 0
% 0.44/0.58 # Negative unit clauses : 3
% 0.44/0.58 # Non-unit-clauses : 3
% 0.44/0.58 # Current number of unprocessed clauses: 56
% 0.44/0.58 # ...number of literals in the above : 198
% 0.44/0.58 # Current number of archived formulas : 0
% 0.44/0.58 # Current number of archived clauses : 3
% 0.44/0.58 # Clause-clause subsumption calls (NU) : 0
% 0.44/0.58 # Rec. Clause-clause subsumption calls : 0
% 0.44/0.58 # Non-unit clause-clause subsumptions : 0
% 0.44/0.58 # Unit Clause-clause subsumption calls : 1
% 0.44/0.58 # Rewrite failures with RHS unbound : 0
% 0.44/0.58 # BW rewrite match attempts : 3
% 0.44/0.58 # BW rewrite match successes : 3
% 0.44/0.58 # Condensation attempts : 20
% 0.44/0.58 # Condensation successes : 0
% 0.44/0.58 # Termbank termtop insertions : 32329
% 0.44/0.58 # Search garbage collected termcells : 4159
% 0.44/0.58
% 0.44/0.58 # -------------------------------------------------
% 0.44/0.58 # User time : 0.037 s
% 0.44/0.58 # System time : 0.011 s
% 0.44/0.58 # Total time : 0.048 s
% 0.44/0.58 # Maximum resident set size: 6360 pages
% 0.44/0.58
% 0.44/0.58 # -------------------------------------------------
% 0.44/0.58 # User time : 0.069 s
% 0.44/0.58 # System time : 0.043 s
% 0.44/0.58 # Total time : 0.112 s
% 0.44/0.58 # Maximum resident set size: 2076 pages
% 0.44/0.58 % E---3.1 exiting
% 0.44/0.58 % E exiting
%------------------------------------------------------------------------------