TSTP Solution File: ALG267^1 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ALG267^1 : TPTP v8.1.0. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 17:57:51 EDT 2022
% Result : Timeout 287.30s 286.27s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 88
% Syntax : Number of formulae : 228 ( 90 unt; 0 typ; 38 def)
% Number of atoms : 1424 ( 201 equ; 0 cnn)
% Maximal formula atoms : 124 ( 6 avg)
% Number of connectives : 2203 ( 221 ~; 135 |; 0 &;1440 @)
% ( 0 <=>; 398 =>; 1 <=; 0 <~>)
% Maximal formula depth : 52 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 84 ( 84 >; 0 *; 0 +; 0 <<)
% Number of symbols : 106 ( 103 usr; 105 con; 0-2 aty)
% ( 8 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 536 ( 0 ^ 536 !; 0 ?; 536 :)
% Comments :
%------------------------------------------------------------------------------
thf(def_axapp,definition,
( axapp
= ( ! [X1: term,X2: term,X3: subst] :
( ( sub @ ( ap @ X1 @ X2 ) @ X3 )
= ( ap @ ( sub @ X1 @ X3 ) @ ( sub @ X2 @ X3 ) ) ) ) ) ).
thf(def_axvarcons,definition,
( axvarcons
= ( ! [X1: term,X2: subst] :
( ( sub @ one @ ( push @ X1 @ X2 ) )
= X1 ) ) ) ).
thf(def_axvarid,definition,
( axvarid
= ( ! [X1: term] :
( ( sub @ X1 @ id )
= X1 ) ) ) ).
thf(def_axabs,definition,
( axabs
= ( ! [X1: term,X2: subst] :
( ( sub @ ( lam @ X1 ) @ X2 )
= ( lam @ ( sub @ X1 @ ( push @ one @ ( comp @ X2 @ sh ) ) ) ) ) ) ) ).
thf(def_axclos,definition,
( axclos
= ( ! [X1: term,X2: subst,X3: subst] :
( ( sub @ ( sub @ X1 @ X2 ) @ X3 )
= ( sub @ X1 @ ( comp @ X2 @ X3 ) ) ) ) ) ).
thf(def_axidl,definition,
( axidl
= ( ! [X1: subst] :
( ( comp @ id @ X1 )
= X1 ) ) ) ).
thf(def_axshiftcons,definition,
( axshiftcons
= ( ! [X1: term,X2: subst] :
( ( comp @ sh @ ( push @ X1 @ X2 ) )
= X2 ) ) ) ).
thf(def_axassoc,definition,
( axassoc
= ( ! [X1: subst,X2: subst,X3: subst] :
( ( comp @ ( comp @ X1 @ X2 ) @ X3 )
= ( comp @ X1 @ ( comp @ X2 @ X3 ) ) ) ) ) ).
thf(def_axmap,definition,
( axmap
= ( ! [X1: term,X2: subst,X3: subst] :
( ( comp @ ( push @ X1 @ X2 ) @ X3 )
= ( push @ ( sub @ X1 @ X3 ) @ ( comp @ X2 @ X3 ) ) ) ) ) ).
thf(def_axidr,definition,
( axidr
= ( ! [X1: subst] :
( ( comp @ X1 @ id )
= X1 ) ) ) ).
thf(def_axvarshift,definition,
( axvarshift
= ( ( push @ one @ sh )
= id ) ) ).
thf(def_axscons,definition,
( axscons
= ( ! [X1: subst] :
( ( push @ ( sub @ one @ X1 ) @ ( comp @ sh @ X1 ) )
= X1 ) ) ) ).
thf(def_ulamvar1,definition,
( ulamvar1
= ( var @ one ) ) ).
thf(def_ulamvarsh,definition,
( ulamvarsh
= ( ! [X1: term] :
( ( var @ X1 )
=> ( var @ ( sub @ X1 @ sh ) ) ) ) ) ).
thf(def_ulamvarind,definition,
( ulamvarind
= ( ! [X1: term > $o] :
( ( X1 @ one )
=> ( ! [X2: term] :
( ( var @ X2 )
=> ( ( X1 @ X2 )
=> ( X1 @ ( sub @ X2 @ sh ) ) ) )
=> ! [X2: term] :
( ( var @ X2 )
=> ( X1 @ X2 ) ) ) ) ) ) ).
thf(def_apinj1,definition,
( apinj1
= ( ! [X1: term,X2: term,X3: term,X4: term] :
( ( ( ap @ X1 @ X3 )
= ( ap @ X2 @ X4 ) )
=> ( X1 = X2 ) ) ) ) ).
thf(def_apinj2,definition,
( apinj2
= ( ! [X1: term,X2: term,X3: term,X4: term] :
( ( ( ap @ X1 @ X3 )
= ( ap @ X2 @ X4 ) )
=> ( X3 = X4 ) ) ) ) ).
thf(def_laminj,definition,
( laminj
= ( ! [X1: term,X2: term] :
( ( ( lam @ X1 )
= ( lam @ X2 ) )
=> ( X1 = X2 ) ) ) ) ).
thf(def_shinj,definition,
( shinj
= ( ! [X1: term,X2: term] :
( ( ( sub @ X1 @ sh )
= ( sub @ X2 @ sh ) )
=> ( X1 = X2 ) ) ) ) ).
thf(def_lamnotap,definition,
( lamnotap
= ( ! [X1: term,X2: term,X3: term] :
( ( lam @ X1 )
!= ( ap @ X2 @ X3 ) ) ) ) ).
thf(def_apnotvar,definition,
( apnotvar
= ( ! [X1: term,X2: term] :
~ ( var @ ( ap @ X1 @ X2 ) ) ) ) ).
thf(def_lamnotvar,definition,
( lamnotvar
= ( ! [X1: term] :
~ ( var @ ( lam @ X1 ) ) ) ) ).
thf(def_induction,definition,
( induction
= ( ! [X1: term > $o] :
( ! [X2: term] :
( ( var @ X2 )
=> ( X1 @ X2 ) )
=> ( ! [X2: term,X3: term] :
( ( X1 @ X2 )
=> ( ( X1 @ X3 )
=> ( X1 @ ( ap @ X2 @ X3 ) ) ) )
=> ( ! [X2: term] :
( ( X1 @ X2 )
=> ( X1 @ ( lam @ X2 ) ) )
=> ( !! @ X1 ) ) ) ) ) ) ).
thf(def_pushprop,definition,
( pushprop
= ( ! [X1: term > $o,X2: term,X3: subst] :
( ! [X4: term] :
( ( var @ X4 )
=> ( X1 @ ( sub @ X4 @ X3 ) ) )
=> ( ( X1 @ X2 )
=> ! [X4: term] :
( ( var @ X4 )
=> ( X1 @ ( sub @ X4 @ ( push @ X2 @ X3 ) ) ) ) ) ) ) ) ).
thf(def_induction2lem,definition,
( induction2lem
= ( ! [X1: term > $o] :
( ! [X2: term,X3: term] :
( ( X1 @ X2 )
=> ( ( X1 @ X3 )
=> ( X1 @ ( ap @ X2 @ X3 ) ) ) )
=> ( ! [X2: term] :
( ! [X3: term] :
( ( X1 @ X3 )
=> ( X1 @ ( sub @ X2 @ ( push @ X3 @ id ) ) ) )
=> ( X1 @ ( lam @ X2 ) ) )
=> ! [X2: term,X3: subst] :
( ! [X4: term] :
( ( var @ X4 )
=> ( X1 @ ( sub @ X4 @ X3 ) ) )
=> ( X1 @ ( sub @ X2 @ X3 ) ) ) ) ) ) ) ).
thf(def_induction2,definition,
( induction2
= ( ! [X1: term > $o] :
( ! [X2: term] :
( ( var @ X2 )
=> ( X1 @ X2 ) )
=> ( ! [X2: term,X3: term] :
( ( X1 @ X2 )
=> ( ( X1 @ X3 )
=> ( X1 @ ( ap @ X2 @ X3 ) ) ) )
=> ( ! [X2: term] :
( ! [X3: term] :
( ( X1 @ X3 )
=> ( X1 @ ( sub @ X2 @ ( push @ X3 @ id ) ) ) )
=> ( X1 @ ( lam @ X2 ) ) )
=> ( !! @ X1 ) ) ) ) ) ) ).
thf(def_substmonoid,definition,
( substmonoid
= ( ~ ( ~ ( ! [X1: subst,X2: subst,X3: subst] :
( ( comp @ ( comp @ X1 @ X2 ) @ X3 )
= ( comp @ X1 @ ( comp @ X2 @ X3 ) ) )
=> ~ ! [X1: subst] :
( ( comp @ id @ X1 )
= X1 ) )
=> ~ ! [X1: subst] :
( ( comp @ X1 @ id )
= X1 ) ) ) ) ).
thf(def_termmset,definition,
( termmset
= ( ~ ( ! [X1: term,X2: subst,X3: subst] :
( ( sub @ ( sub @ X1 @ X2 ) @ X3 )
= ( sub @ X1 @ ( comp @ X2 @ X3 ) ) )
=> ~ ! [X1: term] :
( ( sub @ X1 @ id )
= X1 ) ) ) ) ).
thf(def_hoasapinj1,definition,
( hoasapinj1
= ( ! [X1: term,X2: term,X3: term,X4: term] :
( ( ( hoasap @ id @ X1 @ id @ X3 )
= ( hoasap @ id @ X2 @ id @ X4 ) )
=> ( X1 = X2 ) ) ) ) ).
thf(def_hoasapinj2,definition,
( hoasapinj2
= ( ! [X1: term,X2: term,X3: term,X4: term] :
( ( ( hoasap @ id @ X1 @ id @ X3 )
= ( hoasap @ id @ X2 @ id @ X4 ) )
=> ( X3 = X4 ) ) ) ) ).
thf(def_hoaslaminj,definition,
( hoaslaminj
= ( ! [X1: subst > term > term] :
( ! [X2: subst,X3: term,X4: subst] :
( ( sub @ ( X1 @ X2 @ X3 ) @ X4 )
= ( X1 @ ( comp @ X2 @ X4 ) @ ( sub @ X3 @ X4 ) ) )
=> ! [X2: subst > term > term] :
( ! [X3: subst,X4: term,X5: subst] :
( ( sub @ ( X2 @ X3 @ X4 ) @ X5 )
= ( X2 @ ( comp @ X3 @ X5 ) @ ( sub @ X4 @ X5 ) ) )
=> ( ( ( hoaslam @ id @ X1 )
= ( hoaslam @ id @ X2 ) )
=> ! [X3: subst,X4: term] :
( ( X1 @ X3 @ X4 )
= ( X2 @ X3 @ X4 ) ) ) ) ) ) ) ).
thf(def_hoaslamnotap,definition,
( hoaslamnotap
= ( ! [X1: subst > term > term] :
( ! [X2: subst,X3: term,X4: subst] :
( ( sub @ ( X1 @ X2 @ X3 ) @ X4 )
= ( X1 @ ( comp @ X2 @ X4 ) @ ( sub @ X3 @ X4 ) ) )
=> ! [X2: term,X3: term] :
( ( hoaslam @ id @ X1 )
!= ( hoasap @ id @ X2 @ id @ X3 ) ) ) ) ) ).
thf(def_hoaslamnotvar,definition,
( hoaslamnotvar
= ( ! [X1: subst > term > term] :
( ! [X2: subst,X3: term,X4: subst] :
( ( sub @ ( X1 @ X2 @ X3 ) @ X4 )
= ( X1 @ ( comp @ X2 @ X4 ) @ ( sub @ X3 @ X4 ) ) )
=> ~ ( hoasvar @ id @ ( hoaslam @ id @ X1 ) @ id ) ) ) ) ).
thf(def_hoasapnotvar,definition,
( hoasapnotvar
= ( ! [X1: term,X2: term] :
~ ( hoasvar @ id @ ( hoasap @ id @ X1 @ id @ X2 ) @ id ) ) ) ).
thf(def_hoasinduction_lem1,definition,
( hoasinduction_lem1
= ( ! [X1: subst > term > subst > $o] :
( ! [X2: subst,X3: term,X4: subst,X5: subst] :
( ( X1 @ X2 @ X3 @ ( comp @ X5 @ X4 ) )
=> ( X1 @ ( comp @ X2 @ X5 ) @ ( sub @ X3 @ X5 ) @ X4 ) )
=> ( ! [X2: subst,X3: term,X4: subst,X5: subst] :
( ( X1 @ ( comp @ X2 @ X5 ) @ ( sub @ X3 @ X5 ) @ X4 )
=> ( X1 @ X2 @ X3 @ ( comp @ X5 @ X4 ) ) )
=> ( ! [X2: term] :
( ( hoasvar @ id @ X2 @ id )
=> ( X1 @ id @ X2 @ id ) )
=> ! [X2: term] :
( ( var @ X2 )
=> ( X1 @ id @ X2 @ id ) ) ) ) ) ) ) ).
thf(def_hoasinduction_lem2,definition,
( hoasinduction_lem2
= ( ! [X1: subst > term > subst > $o] :
( ! [X2: subst,X3: term,X4: subst,X5: subst] :
( ( X1 @ X2 @ X3 @ ( comp @ X5 @ X4 ) )
=> ( X1 @ ( comp @ X2 @ X5 ) @ ( sub @ X3 @ X5 ) @ X4 ) )
=> ( ! [X2: subst,X3: term,X4: subst,X5: subst] :
( ( X1 @ ( comp @ X2 @ X5 ) @ ( sub @ X3 @ X5 ) @ X4 )
=> ( X1 @ X2 @ X3 @ ( comp @ X5 @ X4 ) ) )
=> ( ! [X2: term,X3: term] :
( ( X1 @ id @ X2 @ id )
=> ( ( X1 @ id @ X3 @ id )
=> ( X1 @ id @ ( hoasap @ id @ X2 @ id @ X3 ) @ id ) ) )
=> ! [X2: term,X3: term] :
( ( X1 @ id @ X2 @ id )
=> ( ( X1 @ id @ X3 @ id )
=> ( X1 @ id @ ( ap @ X2 @ X3 ) @ id ) ) ) ) ) ) ) ) ).
thf(def_hoasinduction_lem3b,definition,
( hoasinduction_lem3b
= ( ! [X1: term] :
~ ! [X2: subst > term > term] :
( ( sub @ X1 @ ( push @ one @ sh ) )
!= ( X2 @ sh @ one ) ) ) ) ).
thf(def_hoasinduction_lem3b_gthm,definition,
( hoasinduction_lem3b_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
=> ( hoasinduction_lem1
=> ( hoasinduction_lem2
=> hoasinduction_lem3b ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(thm,conjecture,
( ! [X1: term,X2: term,X3: subst] :
( ( sub @ ( ap @ X1 @ X2 ) @ X3 )
= ( ap @ ( sub @ X1 @ X3 ) @ ( sub @ X2 @ X3 ) ) )
=> ( ! [X1: term,X2: subst] :
( ( sub @ one @ ( push @ X1 @ X2 ) )
= X1 )
=> ( ! [X1: term] :
( ( sub @ X1 @ id )
= X1 )
=> ( ! [X1: term,X2: subst] :
( ( sub @ ( lam @ X1 ) @ X2 )
= ( lam @ ( sub @ X1 @ ( push @ one @ ( comp @ X2 @ sh ) ) ) ) )
=> ( ! [X1: term,X2: subst,X3: subst] :
( ( sub @ ( sub @ X1 @ X2 ) @ X3 )
= ( sub @ X1 @ ( comp @ X2 @ X3 ) ) )
=> ( ! [X1: subst] :
( ( comp @ id @ X1 )
= X1 )
=> ( ! [X1: term,X2: subst] :
( ( comp @ sh @ ( push @ X1 @ X2 ) )
= X2 )
=> ( ! [X1: subst,X2: subst,X3: subst] :
( ( comp @ ( comp @ X1 @ X2 ) @ X3 )
= ( comp @ X1 @ ( comp @ X2 @ X3 ) ) )
=> ( ! [X1: term,X2: subst,X3: subst] :
( ( comp @ ( push @ X1 @ X2 ) @ X3 )
= ( push @ ( sub @ X1 @ X3 ) @ ( comp @ X2 @ X3 ) ) )
=> ( ! [X1: subst] :
( ( comp @ X1 @ id )
= X1 )
=> ( ( ( push @ one @ sh )
= id )
=> ( ! [X1: subst] :
( ( push @ ( sub @ one @ X1 ) @ ( comp @ sh @ X1 ) )
= X1 )
=> ( ( var @ one )
=> ( ! [X1: term] :
( ( var @ X1 )
=> ( var @ ( sub @ X1 @ sh ) ) )
=> ( ! [X1: term > $o] :
( ( X1 @ one )
=> ( ! [X2: term] :
( ( var @ X2 )
=> ( ( X1 @ X2 )
=> ( X1 @ ( sub @ X2 @ sh ) ) ) )
=> ! [X2: term] :
( ( var @ X2 )
=> ( X1 @ X2 ) ) ) )
=> ( ! [X1: term,X2: term,X3: term,X4: term] :
( ( ( ap @ X1 @ X3 )
= ( ap @ X2 @ X4 ) )
=> ( X1 = X2 ) )
=> ( ! [X1: term,X2: term,X3: term,X4: term] :
( ( ( ap @ X1 @ X3 )
= ( ap @ X2 @ X4 ) )
=> ( X3 = X4 ) )
=> ( ! [X1: term,X2: term] :
( ( ( lam @ X1 )
= ( lam @ X2 ) )
=> ( X1 = X2 ) )
=> ( ! [X1: term,X2: term] :
( ( ( sub @ X1 @ sh )
= ( sub @ X2 @ sh ) )
=> ( X1 = X2 ) )
=> ( ! [X1: term,X2: term,X3: term] :
( ( lam @ X1 )
!= ( ap @ X2 @ X3 ) )
=> ( ! [X1: term,X2: term] :
~ ( var @ ( ap @ X1 @ X2 ) )
=> ( ! [X1: term] :
~ ( var @ ( lam @ X1 ) )
=> ( ! [X1: term > $o] :
( ! [X2: term] :
( ( var @ X2 )
=> ( X1 @ X2 ) )
=> ( ! [X2: term,X3: term] :
( ( X1 @ X2 )
=> ( ( X1 @ X3 )
=> ( X1 @ ( ap @ X2 @ X3 ) ) ) )
=> ( ! [X2: term] :
( ( X1 @ X2 )
=> ( X1 @ ( lam @ X2 ) ) )
=> ( !! @ X1 ) ) ) )
=> ( ! [X1: term > $o,X2: term,X3: subst] :
( ! [X4: term] :
( ( var @ X4 )
=> ( X1 @ ( sub @ X4 @ X3 ) ) )
=> ( ( X1 @ X2 )
=> ! [X4: term] :
( ( var @ X4 )
=> ( X1 @ ( sub @ X4 @ ( push @ X2 @ X3 ) ) ) ) ) )
=> ( ! [X1: term > $o] :
( ! [X2: term,X3: term] :
( ( X1 @ X2 )
=> ( ( X1 @ X3 )
=> ( X1 @ ( ap @ X2 @ X3 ) ) ) )
=> ( ! [X2: term] :
( ! [X3: term] :
( ( X1 @ X3 )
=> ( X1 @ ( sub @ X2 @ ( push @ X3 @ id ) ) ) )
=> ( X1 @ ( lam @ X2 ) ) )
=> ! [X2: term,X3: subst] :
( ! [X4: term] :
( ( var @ X4 )
=> ( X1 @ ( sub @ X4 @ X3 ) ) )
=> ( X1 @ ( sub @ X2 @ X3 ) ) ) ) )
=> ( ! [X1: term > $o] :
( ! [X2: term] :
( ( var @ X2 )
=> ( X1 @ X2 ) )
=> ( ! [X2: term,X3: term] :
( ( X1 @ X2 )
=> ( ( X1 @ X3 )
=> ( X1 @ ( ap @ X2 @ X3 ) ) ) )
=> ( ! [X2: term] :
( ! [X3: term] :
( ( X1 @ X3 )
=> ( X1 @ ( sub @ X2 @ ( push @ X3 @ id ) ) ) )
=> ( X1 @ ( lam @ X2 ) ) )
=> ( !! @ X1 ) ) ) )
=> ( ~ ( ~ ( ! [X1: subst,X2: subst,X3: subst] :
( ( comp @ ( comp @ X1 @ X2 ) @ X3 )
= ( comp @ X1 @ ( comp @ X2 @ X3 ) ) )
=> ~ ! [X1: subst] :
( ( comp @ id @ X1 )
= X1 ) )
=> ~ ! [X1: subst] :
( ( comp @ X1 @ id )
= X1 ) )
=> ( ~ ( ! [X1: term,X2: subst,X3: subst] :
( ( sub @ ( sub @ X1 @ X2 ) @ X3 )
= ( sub @ X1 @ ( comp @ X2 @ X3 ) ) )
=> ~ ! [X1: term] :
( ( sub @ X1 @ id )
= X1 ) )
=> ( ! [X1: term,X2: term,X3: term,X4: term] :
( ( ( hoasap @ id @ X1 @ id @ X3 )
= ( hoasap @ id @ X2 @ id @ X4 ) )
=> ( X1 = X2 ) )
=> ( ! [X1: term,X2: term,X3: term,X4: term] :
( ( ( hoasap @ id @ X1 @ id @ X3 )
= ( hoasap @ id @ X2 @ id @ X4 ) )
=> ( X3 = X4 ) )
=> ( ! [X1: subst > term > term] :
( ! [X2: subst,X3: term,X4: subst] :
( ( sub @ ( X1 @ X2 @ X3 ) @ X4 )
= ( X1 @ ( comp @ X2 @ X4 ) @ ( sub @ X3 @ X4 ) ) )
=> ! [X2: subst > term > term] :
( ! [X3: subst,X4: term,X5: subst] :
( ( sub @ ( X2 @ X3 @ X4 ) @ X5 )
= ( X2 @ ( comp @ X3 @ X5 ) @ ( sub @ X4 @ X5 ) ) )
=> ( ( ( hoaslam @ id @ X1 )
= ( hoaslam @ id @ X2 ) )
=> ! [X3: subst,X4: term] :
( ( X1 @ X3 @ X4 )
= ( X2 @ X3 @ X4 ) ) ) ) )
=> ( ! [X1: subst > term > term] :
( ! [X2: subst,X3: term,X4: subst] :
( ( sub @ ( X1 @ X2 @ X3 ) @ X4 )
= ( X1 @ ( comp @ X2 @ X4 ) @ ( sub @ X3 @ X4 ) ) )
=> ! [X2: term,X3: term] :
( ( hoaslam @ id @ X1 )
!= ( hoasap @ id @ X2 @ id @ X3 ) ) )
=> ( ! [X1: subst > term > term] :
( ! [X2: subst,X3: term,X4: subst] :
( ( sub @ ( X1 @ X2 @ X3 ) @ X4 )
= ( X1 @ ( comp @ X2 @ X4 ) @ ( sub @ X3 @ X4 ) ) )
=> ~ ( hoasvar @ id @ ( hoaslam @ id @ X1 ) @ id ) )
=> ( ! [X1: term,X2: term] :
~ ( hoasvar @ id @ ( hoasap @ id @ X1 @ id @ X2 ) @ id )
=> ( ! [X1: subst > term > subst > $o] :
( ! [X2: subst,X3: term,X4: subst,X5: subst] :
( ( X1 @ X2 @ X3 @ ( comp @ X5 @ X4 ) )
=> ( X1 @ ( comp @ X2 @ X5 ) @ ( sub @ X3 @ X5 ) @ X4 ) )
=> ( ! [X2: subst,X3: term,X4: subst,X5: subst] :
( ( X1 @ ( comp @ X2 @ X5 ) @ ( sub @ X3 @ X5 ) @ X4 )
=> ( X1 @ X2 @ X3 @ ( comp @ X5 @ X4 ) ) )
=> ( ! [X2: term] :
( ( hoasvar @ id @ X2 @ id )
=> ( X1 @ id @ X2 @ id ) )
=> ! [X2: term] :
( ( var @ X2 )
=> ( X1 @ id @ X2 @ id ) ) ) ) )
=> ( ! [X1: subst > term > subst > $o] :
( ! [X2: subst,X3: term,X4: subst,X5: subst] :
( ( X1 @ X2 @ X3 @ ( comp @ X5 @ X4 ) )
=> ( X1 @ ( comp @ X2 @ X5 ) @ ( sub @ X3 @ X5 ) @ X4 ) )
=> ( ! [X2: subst,X3: term,X4: subst,X5: subst] :
( ( X1 @ ( comp @ X2 @ X5 ) @ ( sub @ X3 @ X5 ) @ X4 )
=> ( X1 @ X2 @ X3 @ ( comp @ X5 @ X4 ) ) )
=> ( ! [X2: term,X3: term] :
( ( X1 @ id @ X2 @ id )
=> ( ( X1 @ id @ X3 @ id )
=> ( X1 @ id @ ( hoasap @ id @ X2 @ id @ X3 ) @ id ) ) )
=> ! [X2: term,X3: term] :
( ( X1 @ id @ X2 @ id )
=> ( ( X1 @ id @ X3 @ id )
=> ( X1 @ id @ ( ap @ X2 @ X3 ) @ id ) ) ) ) ) )
=> ! [X1: term] :
~ ! [X2: subst > term > term] :
( ( sub @ X1 @ ( push @ one @ sh ) )
!= ( X2 @ sh @ one ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(h0,negated_conjecture,
~ ( ! [X1: term,X2: term,X3: subst] :
( ( sub @ ( ap @ X1 @ X2 ) @ X3 )
= ( ap @ ( sub @ X1 @ X3 ) @ ( sub @ X2 @ X3 ) ) )
=> ( ! [X1: term,X2: subst] :
( ( sub @ one @ ( push @ X1 @ X2 ) )
= X1 )
=> ( ! [X1: term] :
( ( sub @ X1 @ id )
= X1 )
=> ( ! [X1: term,X2: subst] :
( ( sub @ ( lam @ X1 ) @ X2 )
= ( lam @ ( sub @ X1 @ ( push @ one @ ( comp @ X2 @ sh ) ) ) ) )
=> ( ! [X1: term,X2: subst,X3: subst] :
( ( sub @ ( sub @ X1 @ X2 ) @ X3 )
= ( sub @ X1 @ ( comp @ X2 @ X3 ) ) )
=> ( ! [X1: subst] :
( ( comp @ id @ X1 )
= X1 )
=> ( ! [X1: term,X2: subst] :
( ( comp @ sh @ ( push @ X1 @ X2 ) )
= X2 )
=> ( ! [X1: subst,X2: subst,X3: subst] :
( ( comp @ ( comp @ X1 @ X2 ) @ X3 )
= ( comp @ X1 @ ( comp @ X2 @ X3 ) ) )
=> ( ! [X1: term,X2: subst,X3: subst] :
( ( comp @ ( push @ X1 @ X2 ) @ X3 )
= ( push @ ( sub @ X1 @ X3 ) @ ( comp @ X2 @ X3 ) ) )
=> ( ! [X1: subst] :
( ( comp @ X1 @ id )
= X1 )
=> ( ( ( push @ one @ sh )
= id )
=> ( ! [X1: subst] :
( ( push @ ( sub @ one @ X1 ) @ ( comp @ sh @ X1 ) )
= X1 )
=> ( ( var @ one )
=> ( ! [X1: term] :
( ( var @ X1 )
=> ( var @ ( sub @ X1 @ sh ) ) )
=> ( ! [X1: term > $o] :
( ( X1 @ one )
=> ( ! [X2: term] :
( ( var @ X2 )
=> ( ( X1 @ X2 )
=> ( X1 @ ( sub @ X2 @ sh ) ) ) )
=> ! [X2: term] :
( ( var @ X2 )
=> ( X1 @ X2 ) ) ) )
=> ( ! [X1: term,X2: term,X3: term,X4: term] :
( ( ( ap @ X1 @ X3 )
= ( ap @ X2 @ X4 ) )
=> ( X1 = X2 ) )
=> ( ! [X1: term,X2: term,X3: term,X4: term] :
( ( ( ap @ X1 @ X3 )
= ( ap @ X2 @ X4 ) )
=> ( X3 = X4 ) )
=> ( ! [X1: term,X2: term] :
( ( ( lam @ X1 )
= ( lam @ X2 ) )
=> ( X1 = X2 ) )
=> ( ! [X1: term,X2: term] :
( ( ( sub @ X1 @ sh )
= ( sub @ X2 @ sh ) )
=> ( X1 = X2 ) )
=> ( ! [X1: term,X2: term,X3: term] :
( ( lam @ X1 )
!= ( ap @ X2 @ X3 ) )
=> ( ! [X1: term,X2: term] :
~ ( var @ ( ap @ X1 @ X2 ) )
=> ( ! [X1: term] :
~ ( var @ ( lam @ X1 ) )
=> ( ! [X1: term > $o] :
( ! [X2: term] :
( ( var @ X2 )
=> ( X1 @ X2 ) )
=> ( ! [X2: term,X3: term] :
( ( X1 @ X2 )
=> ( ( X1 @ X3 )
=> ( X1 @ ( ap @ X2 @ X3 ) ) ) )
=> ( ! [X2: term] :
( ( X1 @ X2 )
=> ( X1 @ ( lam @ X2 ) ) )
=> ( !! @ X1 ) ) ) )
=> ( ! [X1: term > $o,X2: term,X3: subst] :
( ! [X4: term] :
( ( var @ X4 )
=> ( X1 @ ( sub @ X4 @ X3 ) ) )
=> ( ( X1 @ X2 )
=> ! [X4: term] :
( ( var @ X4 )
=> ( X1 @ ( sub @ X4 @ ( push @ X2 @ X3 ) ) ) ) ) )
=> ( ! [X1: term > $o] :
( ! [X2: term,X3: term] :
( ( X1 @ X2 )
=> ( ( X1 @ X3 )
=> ( X1 @ ( ap @ X2 @ X3 ) ) ) )
=> ( ! [X2: term] :
( ! [X3: term] :
( ( X1 @ X3 )
=> ( X1 @ ( sub @ X2 @ ( push @ X3 @ id ) ) ) )
=> ( X1 @ ( lam @ X2 ) ) )
=> ! [X2: term,X3: subst] :
( ! [X4: term] :
( ( var @ X4 )
=> ( X1 @ ( sub @ X4 @ X3 ) ) )
=> ( X1 @ ( sub @ X2 @ X3 ) ) ) ) )
=> ( ! [X1: term > $o] :
( ! [X2: term] :
( ( var @ X2 )
=> ( X1 @ X2 ) )
=> ( ! [X2: term,X3: term] :
( ( X1 @ X2 )
=> ( ( X1 @ X3 )
=> ( X1 @ ( ap @ X2 @ X3 ) ) ) )
=> ( ! [X2: term] :
( ! [X3: term] :
( ( X1 @ X3 )
=> ( X1 @ ( sub @ X2 @ ( push @ X3 @ id ) ) ) )
=> ( X1 @ ( lam @ X2 ) ) )
=> ( !! @ X1 ) ) ) )
=> ( ~ ( ~ ( ! [X1: subst,X2: subst,X3: subst] :
( ( comp @ ( comp @ X1 @ X2 ) @ X3 )
= ( comp @ X1 @ ( comp @ X2 @ X3 ) ) )
=> ~ ! [X1: subst] :
( ( comp @ id @ X1 )
= X1 ) )
=> ~ ! [X1: subst] :
( ( comp @ X1 @ id )
= X1 ) )
=> ( ~ ( ! [X1: term,X2: subst,X3: subst] :
( ( sub @ ( sub @ X1 @ X2 ) @ X3 )
= ( sub @ X1 @ ( comp @ X2 @ X3 ) ) )
=> ~ ! [X1: term] :
( ( sub @ X1 @ id )
= X1 ) )
=> ( ! [X1: term,X2: term,X3: term,X4: term] :
( ( ( hoasap @ id @ X1 @ id @ X3 )
= ( hoasap @ id @ X2 @ id @ X4 ) )
=> ( X1 = X2 ) )
=> ( ! [X1: term,X2: term,X3: term,X4: term] :
( ( ( hoasap @ id @ X1 @ id @ X3 )
= ( hoasap @ id @ X2 @ id @ X4 ) )
=> ( X3 = X4 ) )
=> ( ! [X1: subst > term > term] :
( ! [X2: subst,X3: term,X4: subst] :
( ( sub @ ( X1 @ X2 @ X3 ) @ X4 )
= ( X1 @ ( comp @ X2 @ X4 ) @ ( sub @ X3 @ X4 ) ) )
=> ! [X2: subst > term > term] :
( ! [X3: subst,X4: term,X5: subst] :
( ( sub @ ( X2 @ X3 @ X4 ) @ X5 )
= ( X2 @ ( comp @ X3 @ X5 ) @ ( sub @ X4 @ X5 ) ) )
=> ( ( ( hoaslam @ id @ X1 )
= ( hoaslam @ id @ X2 ) )
=> ! [X3: subst,X4: term] :
( ( X1 @ X3 @ X4 )
= ( X2 @ X3 @ X4 ) ) ) ) )
=> ( ! [X1: subst > term > term] :
( ! [X2: subst,X3: term,X4: subst] :
( ( sub @ ( X1 @ X2 @ X3 ) @ X4 )
= ( X1 @ ( comp @ X2 @ X4 ) @ ( sub @ X3 @ X4 ) ) )
=> ! [X2: term,X3: term] :
( ( hoaslam @ id @ X1 )
!= ( hoasap @ id @ X2 @ id @ X3 ) ) )
=> ( ! [X1: subst > term > term] :
( ! [X2: subst,X3: term,X4: subst] :
( ( sub @ ( X1 @ X2 @ X3 ) @ X4 )
= ( X1 @ ( comp @ X2 @ X4 ) @ ( sub @ X3 @ X4 ) ) )
=> ~ ( hoasvar @ id @ ( hoaslam @ id @ X1 ) @ id ) )
=> ( ! [X1: term,X2: term] :
~ ( hoasvar @ id @ ( hoasap @ id @ X1 @ id @ X2 ) @ id )
=> ( ! [X1: subst > term > subst > $o] :
( ! [X2: subst,X3: term,X4: subst,X5: subst] :
( ( X1 @ X2 @ X3 @ ( comp @ X5 @ X4 ) )
=> ( X1 @ ( comp @ X2 @ X5 ) @ ( sub @ X3 @ X5 ) @ X4 ) )
=> ( ! [X2: subst,X3: term,X4: subst,X5: subst] :
( ( X1 @ ( comp @ X2 @ X5 ) @ ( sub @ X3 @ X5 ) @ X4 )
=> ( X1 @ X2 @ X3 @ ( comp @ X5 @ X4 ) ) )
=> ( ! [X2: term] :
( ( hoasvar @ id @ X2 @ id )
=> ( X1 @ id @ X2 @ id ) )
=> ! [X2: term] :
( ( var @ X2 )
=> ( X1 @ id @ X2 @ id ) ) ) ) )
=> ( ! [X1: subst > term > subst > $o] :
( ! [X2: subst,X3: term,X4: subst,X5: subst] :
( ( X1 @ X2 @ X3 @ ( comp @ X5 @ X4 ) )
=> ( X1 @ ( comp @ X2 @ X5 ) @ ( sub @ X3 @ X5 ) @ X4 ) )
=> ( ! [X2: subst,X3: term,X4: subst,X5: subst] :
( ( X1 @ ( comp @ X2 @ X5 ) @ ( sub @ X3 @ X5 ) @ X4 )
=> ( X1 @ X2 @ X3 @ ( comp @ X5 @ X4 ) ) )
=> ( ! [X2: term,X3: term] :
( ( X1 @ id @ X2 @ id )
=> ( ( X1 @ id @ X3 @ id )
=> ( X1 @ id @ ( hoasap @ id @ X2 @ id @ X3 ) @ id ) ) )
=> ! [X2: term,X3: term] :
( ( X1 @ id @ X2 @ id )
=> ( ( X1 @ id @ X3 @ id )
=> ( X1 @ id @ ( ap @ X2 @ X3 ) @ id ) ) ) ) ) )
=> ! [X1: term] :
~ ! [X2: subst > term > term] :
( ( sub @ X1 @ ( push @ one @ sh ) )
!= ( X2 @ sh @ one ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[thm]) ).
thf(ax1746,axiom,
( p1
| ~ p3 ),
file('<stdin>',ax1746) ).
thf(ax1748,axiom,
~ p1,
file('<stdin>',ax1748) ).
thf(ax1744,axiom,
( p3
| ~ p5 ),
file('<stdin>',ax1744) ).
thf(ax1742,axiom,
( p5
| ~ p7 ),
file('<stdin>',ax1742) ).
thf(ax1740,axiom,
( p7
| ~ p9 ),
file('<stdin>',ax1740) ).
thf(ax1738,axiom,
( p9
| ~ p11 ),
file('<stdin>',ax1738) ).
thf(ax1736,axiom,
( p11
| ~ p13 ),
file('<stdin>',ax1736) ).
thf(ax1734,axiom,
( p13
| ~ p15 ),
file('<stdin>',ax1734) ).
thf(ax1732,axiom,
( p15
| ~ p17 ),
file('<stdin>',ax1732) ).
thf(ax1730,axiom,
( p17
| ~ p19 ),
file('<stdin>',ax1730) ).
thf(ax1728,axiom,
( p19
| ~ p21 ),
file('<stdin>',ax1728) ).
thf(ax1726,axiom,
( p21
| ~ p23 ),
file('<stdin>',ax1726) ).
thf(ax1724,axiom,
( p23
| ~ p25 ),
file('<stdin>',ax1724) ).
thf(ax1722,axiom,
( p25
| ~ p27 ),
file('<stdin>',ax1722) ).
thf(ax1720,axiom,
( p27
| ~ p29 ),
file('<stdin>',ax1720) ).
thf(ax1535,axiom,
( ~ p208
| p209 ),
file('<stdin>',ax1535) ).
thf(ax1718,axiom,
( p29
| ~ p31 ),
file('<stdin>',ax1718) ).
thf(ax1534,axiom,
( ~ p209
| p210 ),
file('<stdin>',ax1534) ).
thf(ax1536,axiom,
p208,
file('<stdin>',ax1536) ).
thf(ax1716,axiom,
( p31
| ~ p33 ),
file('<stdin>',ax1716) ).
thf(ax1533,axiom,
( ~ p210
| ~ p22
| p207 ),
file('<stdin>',ax1533) ).
thf(ax1727,axiom,
( p21
| p22 ),
file('<stdin>',ax1727) ).
thf(ax1714,axiom,
( p33
| ~ p35 ),
file('<stdin>',ax1714) ).
thf(pax207,axiom,
( p207
=> ( fid
= ( fpush @ fone @ fsh ) ) ),
file('<stdin>',pax207) ).
thf(pax6,axiom,
( p6
=> ! [X501: term] :
( ( fsub @ X501 @ fid )
= X501 ) ),
file('<stdin>',pax6) ).
thf(ax1743,axiom,
( p5
| p6 ),
file('<stdin>',ax1743) ).
thf(ax1712,axiom,
( p35
| ~ p37 ),
file('<stdin>',ax1712) ).
thf(nax463,axiom,
( p463
<= ( ( fsub @ f__0 @ ( fpush @ fone @ fsh ) )
= f__0 ) ),
file('<stdin>',nax463) ).
thf(ax1710,axiom,
( p37
| ~ p39 ),
file('<stdin>',ax1710) ).
thf(ax1273,axiom,
( ~ p74
| ~ p463 ),
file('<stdin>',ax1273) ).
thf(ax1708,axiom,
( p39
| ~ p41 ),
file('<stdin>',ax1708) ).
thf(ax1706,axiom,
( p41
| ~ p43 ),
file('<stdin>',ax1706) ).
thf(ax1676,axiom,
( p71
| ~ p73 ),
file('<stdin>',ax1676) ).
thf(ax1675,axiom,
( p73
| p74 ),
file('<stdin>',ax1675) ).
thf(ax1704,axiom,
( p43
| ~ p45 ),
file('<stdin>',ax1704) ).
thf(ax1678,axiom,
( p69
| ~ p71 ),
file('<stdin>',ax1678) ).
thf(ax1702,axiom,
( p45
| ~ p47 ),
file('<stdin>',ax1702) ).
thf(ax1680,axiom,
( p67
| ~ p69 ),
file('<stdin>',ax1680) ).
thf(ax1700,axiom,
( p47
| ~ p49 ),
file('<stdin>',ax1700) ).
thf(ax1682,axiom,
( p65
| ~ p67 ),
file('<stdin>',ax1682) ).
thf(ax1698,axiom,
( p49
| ~ p51 ),
file('<stdin>',ax1698) ).
thf(ax1684,axiom,
( p63
| ~ p65 ),
file('<stdin>',ax1684) ).
thf(ax1696,axiom,
( p51
| ~ p53 ),
file('<stdin>',ax1696) ).
thf(ax1686,axiom,
( p61
| ~ p63 ),
file('<stdin>',ax1686) ).
thf(ax1694,axiom,
( p53
| ~ p55 ),
file('<stdin>',ax1694) ).
thf(ax1688,axiom,
( p59
| ~ p61 ),
file('<stdin>',ax1688) ).
thf(ax1692,axiom,
( p55
| ~ p57 ),
file('<stdin>',ax1692) ).
thf(ax1690,axiom,
( p57
| ~ p59 ),
file('<stdin>',ax1690) ).
thf(c_0_48,plain,
( p1
| ~ p3 ),
inference(fof_simplification,[status(thm)],[ax1746]) ).
thf(c_0_49,plain,
~ p1,
inference(fof_simplification,[status(thm)],[ax1748]) ).
thf(c_0_50,plain,
( p3
| ~ p5 ),
inference(fof_simplification,[status(thm)],[ax1744]) ).
thf(c_0_51,plain,
( p1
| ~ p3 ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
thf(c_0_52,plain,
~ p1,
inference(split_conjunct,[status(thm)],[c_0_49]) ).
thf(c_0_53,plain,
( p5
| ~ p7 ),
inference(fof_simplification,[status(thm)],[ax1742]) ).
thf(c_0_54,plain,
( p3
| ~ p5 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
thf(c_0_55,plain,
~ p3,
inference(sr,[status(thm)],[c_0_51,c_0_52]) ).
thf(c_0_56,plain,
( p7
| ~ p9 ),
inference(fof_simplification,[status(thm)],[ax1740]) ).
thf(c_0_57,plain,
( p5
| ~ p7 ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
thf(c_0_58,plain,
~ p5,
inference(sr,[status(thm)],[c_0_54,c_0_55]) ).
thf(c_0_59,plain,
( p9
| ~ p11 ),
inference(fof_simplification,[status(thm)],[ax1738]) ).
thf(c_0_60,plain,
( p7
| ~ p9 ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
thf(c_0_61,plain,
~ p7,
inference(sr,[status(thm)],[c_0_57,c_0_58]) ).
thf(c_0_62,plain,
( p11
| ~ p13 ),
inference(fof_simplification,[status(thm)],[ax1736]) ).
thf(c_0_63,plain,
( p9
| ~ p11 ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
thf(c_0_64,plain,
~ p9,
inference(sr,[status(thm)],[c_0_60,c_0_61]) ).
thf(c_0_65,plain,
( p13
| ~ p15 ),
inference(fof_simplification,[status(thm)],[ax1734]) ).
thf(c_0_66,plain,
( p11
| ~ p13 ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
thf(c_0_67,plain,
~ p11,
inference(sr,[status(thm)],[c_0_63,c_0_64]) ).
thf(c_0_68,plain,
( p15
| ~ p17 ),
inference(fof_simplification,[status(thm)],[ax1732]) ).
thf(c_0_69,plain,
( p13
| ~ p15 ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
thf(c_0_70,plain,
~ p13,
inference(sr,[status(thm)],[c_0_66,c_0_67]) ).
thf(c_0_71,plain,
( p17
| ~ p19 ),
inference(fof_simplification,[status(thm)],[ax1730]) ).
thf(c_0_72,plain,
( p15
| ~ p17 ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
thf(c_0_73,plain,
~ p15,
inference(sr,[status(thm)],[c_0_69,c_0_70]) ).
thf(c_0_74,plain,
( p19
| ~ p21 ),
inference(fof_simplification,[status(thm)],[ax1728]) ).
thf(c_0_75,plain,
( p17
| ~ p19 ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
thf(c_0_76,plain,
~ p17,
inference(sr,[status(thm)],[c_0_72,c_0_73]) ).
thf(c_0_77,plain,
( p21
| ~ p23 ),
inference(fof_simplification,[status(thm)],[ax1726]) ).
thf(c_0_78,plain,
( p19
| ~ p21 ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
thf(c_0_79,plain,
~ p19,
inference(sr,[status(thm)],[c_0_75,c_0_76]) ).
thf(c_0_80,plain,
( p23
| ~ p25 ),
inference(fof_simplification,[status(thm)],[ax1724]) ).
thf(c_0_81,plain,
( p21
| ~ p23 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
thf(c_0_82,plain,
~ p21,
inference(sr,[status(thm)],[c_0_78,c_0_79]) ).
thf(c_0_83,plain,
( p25
| ~ p27 ),
inference(fof_simplification,[status(thm)],[ax1722]) ).
thf(c_0_84,plain,
( p23
| ~ p25 ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
thf(c_0_85,plain,
~ p23,
inference(sr,[status(thm)],[c_0_81,c_0_82]) ).
thf(c_0_86,plain,
( p27
| ~ p29 ),
inference(fof_simplification,[status(thm)],[ax1720]) ).
thf(c_0_87,plain,
( p25
| ~ p27 ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
thf(c_0_88,plain,
~ p25,
inference(sr,[status(thm)],[c_0_84,c_0_85]) ).
thf(c_0_89,plain,
( ~ p208
| p209 ),
inference(fof_simplification,[status(thm)],[ax1535]) ).
thf(c_0_90,plain,
( p29
| ~ p31 ),
inference(fof_simplification,[status(thm)],[ax1718]) ).
thf(c_0_91,plain,
( p27
| ~ p29 ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
thf(c_0_92,plain,
~ p27,
inference(sr,[status(thm)],[c_0_87,c_0_88]) ).
thf(c_0_93,plain,
( ~ p209
| p210 ),
inference(fof_simplification,[status(thm)],[ax1534]) ).
thf(c_0_94,plain,
( p209
| ~ p208 ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
thf(c_0_95,plain,
p208,
inference(split_conjunct,[status(thm)],[ax1536]) ).
thf(c_0_96,plain,
( p31
| ~ p33 ),
inference(fof_simplification,[status(thm)],[ax1716]) ).
thf(c_0_97,plain,
( p29
| ~ p31 ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
thf(c_0_98,plain,
~ p29,
inference(sr,[status(thm)],[c_0_91,c_0_92]) ).
thf(c_0_99,plain,
( ~ p210
| ~ p22
| p207 ),
inference(fof_simplification,[status(thm)],[ax1533]) ).
thf(c_0_100,plain,
( p21
| p22 ),
inference(split_conjunct,[status(thm)],[ax1727]) ).
thf(c_0_101,plain,
( p210
| ~ p209 ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
thf(c_0_102,plain,
p209,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_95])]) ).
thf(c_0_103,plain,
( p33
| ~ p35 ),
inference(fof_simplification,[status(thm)],[ax1714]) ).
thf(c_0_104,plain,
( p31
| ~ p33 ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
thf(c_0_105,plain,
~ p31,
inference(sr,[status(thm)],[c_0_97,c_0_98]) ).
thf(c_0_106,plain,
( ~ p207
| ( fid
= ( fpush @ fone @ fsh ) ) ),
inference(fof_nnf,[status(thm)],[pax207]) ).
thf(c_0_107,plain,
( p207
| ~ p210
| ~ p22 ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
thf(c_0_108,plain,
p22,
inference(sr,[status(thm)],[c_0_100,c_0_82]) ).
thf(c_0_109,plain,
p210,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_102])]) ).
thf(c_0_110,plain,
! [X3261: term] :
( ~ p6
| ( ( fsub @ X3261 @ fid )
= X3261 ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax6])])]) ).
thf(c_0_111,plain,
( p5
| p6 ),
inference(split_conjunct,[status(thm)],[ax1743]) ).
thf(c_0_112,plain,
( p35
| ~ p37 ),
inference(fof_simplification,[status(thm)],[ax1712]) ).
thf(c_0_113,plain,
( p33
| ~ p35 ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
thf(c_0_114,plain,
~ p33,
inference(sr,[status(thm)],[c_0_104,c_0_105]) ).
thf(c_0_115,plain,
( ( ( fsub @ f__0 @ ( fpush @ fone @ fsh ) )
!= f__0 )
| p463 ),
inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax463])]) ).
thf(c_0_116,plain,
( ( fid
= ( fpush @ fone @ fsh ) )
| ~ p207 ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
thf(c_0_117,plain,
p207,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_108]),c_0_109])]) ).
thf(c_0_118,plain,
! [X1: term] :
( ( ( fsub @ X1 @ fid )
= X1 )
| ~ p6 ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
thf(c_0_119,plain,
p6,
inference(sr,[status(thm)],[c_0_111,c_0_58]) ).
thf(c_0_120,plain,
( p37
| ~ p39 ),
inference(fof_simplification,[status(thm)],[ax1710]) ).
thf(c_0_121,plain,
( p35
| ~ p37 ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
thf(c_0_122,plain,
~ p35,
inference(sr,[status(thm)],[c_0_113,c_0_114]) ).
thf(c_0_123,plain,
( ~ p74
| ~ p463 ),
inference(fof_simplification,[status(thm)],[ax1273]) ).
thf(c_0_124,plain,
( p463
| ( ( fsub @ f__0 @ ( fpush @ fone @ fsh ) )
!= f__0 ) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
thf(c_0_125,plain,
( ( fpush @ fone @ fsh )
= fid ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_117])]) ).
thf(c_0_126,plain,
! [X1: term] :
( ( fsub @ X1 @ fid )
= X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_119])]) ).
thf(c_0_127,plain,
( p39
| ~ p41 ),
inference(fof_simplification,[status(thm)],[ax1708]) ).
thf(c_0_128,plain,
( p37
| ~ p39 ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
thf(c_0_129,plain,
~ p37,
inference(sr,[status(thm)],[c_0_121,c_0_122]) ).
thf(c_0_130,plain,
( ~ p74
| ~ p463 ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
thf(c_0_131,plain,
p463,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_125]),c_0_126])]) ).
thf(c_0_132,plain,
( p41
| ~ p43 ),
inference(fof_simplification,[status(thm)],[ax1706]) ).
thf(c_0_133,plain,
( p39
| ~ p41 ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
thf(c_0_134,plain,
~ p39,
inference(sr,[status(thm)],[c_0_128,c_0_129]) ).
thf(c_0_135,plain,
( p71
| ~ p73 ),
inference(fof_simplification,[status(thm)],[ax1676]) ).
thf(c_0_136,plain,
( p73
| p74 ),
inference(split_conjunct,[status(thm)],[ax1675]) ).
thf(c_0_137,plain,
~ p74,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_131])]) ).
thf(c_0_138,plain,
( p43
| ~ p45 ),
inference(fof_simplification,[status(thm)],[ax1704]) ).
thf(c_0_139,plain,
( p41
| ~ p43 ),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
thf(c_0_140,plain,
~ p41,
inference(sr,[status(thm)],[c_0_133,c_0_134]) ).
thf(c_0_141,plain,
( p69
| ~ p71 ),
inference(fof_simplification,[status(thm)],[ax1678]) ).
thf(c_0_142,plain,
( p71
| ~ p73 ),
inference(split_conjunct,[status(thm)],[c_0_135]) ).
thf(c_0_143,plain,
p73,
inference(sr,[status(thm)],[c_0_136,c_0_137]) ).
thf(c_0_144,plain,
( p45
| ~ p47 ),
inference(fof_simplification,[status(thm)],[ax1702]) ).
thf(c_0_145,plain,
( p43
| ~ p45 ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
thf(c_0_146,plain,
~ p43,
inference(sr,[status(thm)],[c_0_139,c_0_140]) ).
thf(c_0_147,plain,
( p67
| ~ p69 ),
inference(fof_simplification,[status(thm)],[ax1680]) ).
thf(c_0_148,plain,
( p69
| ~ p71 ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
thf(c_0_149,plain,
p71,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_143])]) ).
thf(c_0_150,plain,
( p47
| ~ p49 ),
inference(fof_simplification,[status(thm)],[ax1700]) ).
thf(c_0_151,plain,
( p45
| ~ p47 ),
inference(split_conjunct,[status(thm)],[c_0_144]) ).
thf(c_0_152,plain,
~ p45,
inference(sr,[status(thm)],[c_0_145,c_0_146]) ).
thf(c_0_153,plain,
( p65
| ~ p67 ),
inference(fof_simplification,[status(thm)],[ax1682]) ).
thf(c_0_154,plain,
( p67
| ~ p69 ),
inference(split_conjunct,[status(thm)],[c_0_147]) ).
thf(c_0_155,plain,
p69,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_149])]) ).
thf(c_0_156,plain,
( p49
| ~ p51 ),
inference(fof_simplification,[status(thm)],[ax1698]) ).
thf(c_0_157,plain,
( p47
| ~ p49 ),
inference(split_conjunct,[status(thm)],[c_0_150]) ).
thf(c_0_158,plain,
~ p47,
inference(sr,[status(thm)],[c_0_151,c_0_152]) ).
thf(c_0_159,plain,
( p63
| ~ p65 ),
inference(fof_simplification,[status(thm)],[ax1684]) ).
thf(c_0_160,plain,
( p65
| ~ p67 ),
inference(split_conjunct,[status(thm)],[c_0_153]) ).
thf(c_0_161,plain,
p67,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_155])]) ).
thf(c_0_162,plain,
( p51
| ~ p53 ),
inference(fof_simplification,[status(thm)],[ax1696]) ).
thf(c_0_163,plain,
( p49
| ~ p51 ),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
thf(c_0_164,plain,
~ p49,
inference(sr,[status(thm)],[c_0_157,c_0_158]) ).
thf(c_0_165,plain,
( p61
| ~ p63 ),
inference(fof_simplification,[status(thm)],[ax1686]) ).
thf(c_0_166,plain,
( p63
| ~ p65 ),
inference(split_conjunct,[status(thm)],[c_0_159]) ).
thf(c_0_167,plain,
p65,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_161])]) ).
thf(c_0_168,plain,
( p53
| ~ p55 ),
inference(fof_simplification,[status(thm)],[ax1694]) ).
thf(c_0_169,plain,
( p51
| ~ p53 ),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
thf(c_0_170,plain,
~ p51,
inference(sr,[status(thm)],[c_0_163,c_0_164]) ).
thf(c_0_171,plain,
( p59
| ~ p61 ),
inference(fof_simplification,[status(thm)],[ax1688]) ).
thf(c_0_172,plain,
( p61
| ~ p63 ),
inference(split_conjunct,[status(thm)],[c_0_165]) ).
thf(c_0_173,plain,
p63,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_167])]) ).
thf(c_0_174,plain,
( p55
| ~ p57 ),
inference(fof_simplification,[status(thm)],[ax1692]) ).
thf(c_0_175,plain,
( p53
| ~ p55 ),
inference(split_conjunct,[status(thm)],[c_0_168]) ).
thf(c_0_176,plain,
~ p53,
inference(sr,[status(thm)],[c_0_169,c_0_170]) ).
thf(c_0_177,plain,
( p57
| ~ p59 ),
inference(fof_simplification,[status(thm)],[ax1690]) ).
thf(c_0_178,plain,
( p59
| ~ p61 ),
inference(split_conjunct,[status(thm)],[c_0_171]) ).
thf(c_0_179,plain,
p61,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_172,c_0_173])]) ).
thf(c_0_180,plain,
( p55
| ~ p57 ),
inference(split_conjunct,[status(thm)],[c_0_174]) ).
thf(c_0_181,plain,
~ p55,
inference(sr,[status(thm)],[c_0_175,c_0_176]) ).
thf(c_0_182,plain,
( p57
| ~ p59 ),
inference(split_conjunct,[status(thm)],[c_0_177]) ).
thf(c_0_183,plain,
p59,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_178,c_0_179])]) ).
thf(c_0_184,plain,
~ p57,
inference(sr,[status(thm)],[c_0_180,c_0_181]) ).
thf(c_0_185,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_182,c_0_183])]),c_0_184]),
[proof] ).
thf(1,plain,
$false,
inference(eprover,[status(thm),assumptions([h0])],]) ).
thf(0,theorem,
( ! [X1: term,X2: term,X3: subst] :
( ( sub @ ( ap @ X1 @ X2 ) @ X3 )
= ( ap @ ( sub @ X1 @ X3 ) @ ( sub @ X2 @ X3 ) ) )
=> ( ! [X1: term,X2: subst] :
( ( sub @ one @ ( push @ X1 @ X2 ) )
= X1 )
=> ( ! [X1: term] :
( ( sub @ X1 @ id )
= X1 )
=> ( ! [X1: term,X2: subst] :
( ( sub @ ( lam @ X1 ) @ X2 )
= ( lam @ ( sub @ X1 @ ( push @ one @ ( comp @ X2 @ sh ) ) ) ) )
=> ( ! [X1: term,X2: subst,X3: subst] :
( ( sub @ ( sub @ X1 @ X2 ) @ X3 )
= ( sub @ X1 @ ( comp @ X2 @ X3 ) ) )
=> ( ! [X1: subst] :
( ( comp @ id @ X1 )
= X1 )
=> ( ! [X1: term,X2: subst] :
( ( comp @ sh @ ( push @ X1 @ X2 ) )
= X2 )
=> ( ! [X1: subst,X2: subst,X3: subst] :
( ( comp @ ( comp @ X1 @ X2 ) @ X3 )
= ( comp @ X1 @ ( comp @ X2 @ X3 ) ) )
=> ( ! [X1: term,X2: subst,X3: subst] :
( ( comp @ ( push @ X1 @ X2 ) @ X3 )
= ( push @ ( sub @ X1 @ X3 ) @ ( comp @ X2 @ X3 ) ) )
=> ( ! [X1: subst] :
( ( comp @ X1 @ id )
= X1 )
=> ( ( ( push @ one @ sh )
= id )
=> ( ! [X1: subst] :
( ( push @ ( sub @ one @ X1 ) @ ( comp @ sh @ X1 ) )
= X1 )
=> ( ( var @ one )
=> ( ! [X1: term] :
( ( var @ X1 )
=> ( var @ ( sub @ X1 @ sh ) ) )
=> ( ! [X1: term > $o] :
( ( X1 @ one )
=> ( ! [X2: term] :
( ( var @ X2 )
=> ( ( X1 @ X2 )
=> ( X1 @ ( sub @ X2 @ sh ) ) ) )
=> ! [X2: term] :
( ( var @ X2 )
=> ( X1 @ X2 ) ) ) )
=> ( ! [X1: term,X2: term,X3: term,X4: term] :
( ( ( ap @ X1 @ X3 )
= ( ap @ X2 @ X4 ) )
=> ( X1 = X2 ) )
=> ( ! [X1: term,X2: term,X3: term,X4: term] :
( ( ( ap @ X1 @ X3 )
= ( ap @ X2 @ X4 ) )
=> ( X3 = X4 ) )
=> ( ! [X1: term,X2: term] :
( ( ( lam @ X1 )
= ( lam @ X2 ) )
=> ( X1 = X2 ) )
=> ( ! [X1: term,X2: term] :
( ( ( sub @ X1 @ sh )
= ( sub @ X2 @ sh ) )
=> ( X1 = X2 ) )
=> ( ! [X1: term,X2: term,X3: term] :
( ( lam @ X1 )
!= ( ap @ X2 @ X3 ) )
=> ( ! [X1: term,X2: term] :
~ ( var @ ( ap @ X1 @ X2 ) )
=> ( ! [X1: term] :
~ ( var @ ( lam @ X1 ) )
=> ( ! [X1: term > $o] :
( ! [X2: term] :
( ( var @ X2 )
=> ( X1 @ X2 ) )
=> ( ! [X2: term,X3: term] :
( ( X1 @ X2 )
=> ( ( X1 @ X3 )
=> ( X1 @ ( ap @ X2 @ X3 ) ) ) )
=> ( ! [X2: term] :
( ( X1 @ X2 )
=> ( X1 @ ( lam @ X2 ) ) )
=> ( !! @ X1 ) ) ) )
=> ( ! [X1: term > $o,X2: term,X3: subst] :
( ! [X4: term] :
( ( var @ X4 )
=> ( X1 @ ( sub @ X4 @ X3 ) ) )
=> ( ( X1 @ X2 )
=> ! [X4: term] :
( ( var @ X4 )
=> ( X1 @ ( sub @ X4 @ ( push @ X2 @ X3 ) ) ) ) ) )
=> ( ! [X1: term > $o] :
( ! [X2: term,X3: term] :
( ( X1 @ X2 )
=> ( ( X1 @ X3 )
=> ( X1 @ ( ap @ X2 @ X3 ) ) ) )
=> ( ! [X2: term] :
( ! [X3: term] :
( ( X1 @ X3 )
=> ( X1 @ ( sub @ X2 @ ( push @ X3 @ id ) ) ) )
=> ( X1 @ ( lam @ X2 ) ) )
=> ! [X2: term,X3: subst] :
( ! [X4: term] :
( ( var @ X4 )
=> ( X1 @ ( sub @ X4 @ X3 ) ) )
=> ( X1 @ ( sub @ X2 @ X3 ) ) ) ) )
=> ( ! [X1: term > $o] :
( ! [X2: term] :
( ( var @ X2 )
=> ( X1 @ X2 ) )
=> ( ! [X2: term,X3: term] :
( ( X1 @ X2 )
=> ( ( X1 @ X3 )
=> ( X1 @ ( ap @ X2 @ X3 ) ) ) )
=> ( ! [X2: term] :
( ! [X3: term] :
( ( X1 @ X3 )
=> ( X1 @ ( sub @ X2 @ ( push @ X3 @ id ) ) ) )
=> ( X1 @ ( lam @ X2 ) ) )
=> ( !! @ X1 ) ) ) )
=> ( ~ ( ~ ( ! [X1: subst,X2: subst,X3: subst] :
( ( comp @ ( comp @ X1 @ X2 ) @ X3 )
= ( comp @ X1 @ ( comp @ X2 @ X3 ) ) )
=> ~ ! [X1: subst] :
( ( comp @ id @ X1 )
= X1 ) )
=> ~ ! [X1: subst] :
( ( comp @ X1 @ id )
= X1 ) )
=> ( ~ ( ! [X1: term,X2: subst,X3: subst] :
( ( sub @ ( sub @ X1 @ X2 ) @ X3 )
= ( sub @ X1 @ ( comp @ X2 @ X3 ) ) )
=> ~ ! [X1: term] :
( ( sub @ X1 @ id )
= X1 ) )
=> ( ! [X1: term,X2: term,X3: term,X4: term] :
( ( ( hoasap @ id @ X1 @ id @ X3 )
= ( hoasap @ id @ X2 @ id @ X4 ) )
=> ( X1 = X2 ) )
=> ( ! [X1: term,X2: term,X3: term,X4: term] :
( ( ( hoasap @ id @ X1 @ id @ X3 )
= ( hoasap @ id @ X2 @ id @ X4 ) )
=> ( X3 = X4 ) )
=> ( ! [X1: subst > term > term] :
( ! [X2: subst,X3: term,X4: subst] :
( ( sub @ ( X1 @ X2 @ X3 ) @ X4 )
= ( X1 @ ( comp @ X2 @ X4 ) @ ( sub @ X3 @ X4 ) ) )
=> ! [X2: subst > term > term] :
( ! [X3: subst,X4: term,X5: subst] :
( ( sub @ ( X2 @ X3 @ X4 ) @ X5 )
= ( X2 @ ( comp @ X3 @ X5 ) @ ( sub @ X4 @ X5 ) ) )
=> ( ( ( hoaslam @ id @ X1 )
= ( hoaslam @ id @ X2 ) )
=> ! [X3: subst,X4: term] :
( ( X1 @ X3 @ X4 )
= ( X2 @ X3 @ X4 ) ) ) ) )
=> ( ! [X1: subst > term > term] :
( ! [X2: subst,X3: term,X4: subst] :
( ( sub @ ( X1 @ X2 @ X3 ) @ X4 )
= ( X1 @ ( comp @ X2 @ X4 ) @ ( sub @ X3 @ X4 ) ) )
=> ! [X2: term,X3: term] :
( ( hoaslam @ id @ X1 )
!= ( hoasap @ id @ X2 @ id @ X3 ) ) )
=> ( ! [X1: subst > term > term] :
( ! [X2: subst,X3: term,X4: subst] :
( ( sub @ ( X1 @ X2 @ X3 ) @ X4 )
= ( X1 @ ( comp @ X2 @ X4 ) @ ( sub @ X3 @ X4 ) ) )
=> ~ ( hoasvar @ id @ ( hoaslam @ id @ X1 ) @ id ) )
=> ( ! [X1: term,X2: term] :
~ ( hoasvar @ id @ ( hoasap @ id @ X1 @ id @ X2 ) @ id )
=> ( ! [X1: subst > term > subst > $o] :
( ! [X2: subst,X3: term,X4: subst,X5: subst] :
( ( X1 @ X2 @ X3 @ ( comp @ X5 @ X4 ) )
=> ( X1 @ ( comp @ X2 @ X5 ) @ ( sub @ X3 @ X5 ) @ X4 ) )
=> ( ! [X2: subst,X3: term,X4: subst,X5: subst] :
( ( X1 @ ( comp @ X2 @ X5 ) @ ( sub @ X3 @ X5 ) @ X4 )
=> ( X1 @ X2 @ X3 @ ( comp @ X5 @ X4 ) ) )
=> ( ! [X2: term] :
( ( hoasvar @ id @ X2 @ id )
=> ( X1 @ id @ X2 @ id ) )
=> ! [X2: term] :
( ( var @ X2 )
=> ( X1 @ id @ X2 @ id ) ) ) ) )
=> ( ! [X1: subst > term > subst > $o] :
( ! [X2: subst,X3: term,X4: subst,X5: subst] :
( ( X1 @ X2 @ X3 @ ( comp @ X5 @ X4 ) )
=> ( X1 @ ( comp @ X2 @ X5 ) @ ( sub @ X3 @ X5 ) @ X4 ) )
=> ( ! [X2: subst,X3: term,X4: subst,X5: subst] :
( ( X1 @ ( comp @ X2 @ X5 ) @ ( sub @ X3 @ X5 ) @ X4 )
=> ( X1 @ X2 @ X3 @ ( comp @ X5 @ X4 ) ) )
=> ( ! [X2: term,X3: term] :
( ( X1 @ id @ X2 @ id )
=> ( ( X1 @ id @ X3 @ id )
=> ( X1 @ id @ ( hoasap @ id @ X2 @ id @ X3 ) @ id ) ) )
=> ! [X2: term,X3: term] :
( ( X1 @ id @ X2 @ id )
=> ( ( X1 @ id @ X3 @ id )
=> ( X1 @ id @ ( ap @ X2 @ X3 ) @ id ) ) ) ) ) )
=> ! [X1: term] :
~ ! [X2: subst > term > term] :
( ( sub @ X1 @ ( push @ one @ sh ) )
!= ( X2 @ sh @ one ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[1,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG267^1 : TPTP v8.1.0. Bugfixed v5.2.0.
% 0.03/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 9 00:04:32 EDT 2022
% 0.13/0.34 % CPUTime :
% 287.30/286.27 % SZS status Theorem
% 287.30/286.27 % Mode: mode328:USE_SINE=true:SINE_TOLERANCE=5.0:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=2.:SINE_DEPTH=0
% 287.30/286.27 % Inferences: 8364
% 287.30/286.27 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------