TSTP Solution File: ALG265^2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ALG265^2 : TPTP v8.2.0. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n013.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 18:20:30 EDT 2024
% Result : Theorem 4.14s 1.03s
% Output : Refutation 4.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 30
% Syntax : Number of formulae : 98 ( 72 unt; 24 typ; 0 def)
% Number of atoms : 460 ( 134 equ; 0 cnn)
% Maximal formula atoms : 3 ( 6 avg)
% Number of connectives : 2101 ( 8 ~; 0 |; 0 &;1752 @)
% ( 0 <=>; 134 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 199 ( 199 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 24 usr; 14 con; 0-4 aty)
% ( 207 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 328 ( 267 ^ 60 !; 0 ?; 328 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
term: $tType ).
thf(type_def_7,type,
subst: $tType ).
thf(func_def_0,type,
term: $tType ).
thf(func_def_1,type,
subst: $tType ).
thf(func_def_2,type,
one: term ).
thf(func_def_3,type,
ap: term > term > term ).
thf(func_def_4,type,
lam: term > term ).
thf(func_def_5,type,
sub: term > subst > term ).
thf(func_def_6,type,
id: subst ).
thf(func_def_7,type,
sh: subst ).
thf(func_def_8,type,
push: term > subst > subst ).
thf(func_def_9,type,
comp: subst > subst > subst ).
thf(func_def_10,type,
var: term > $o ).
thf(func_def_18,type,
hoasap: subst > term > subst > term > term ).
thf(func_def_73,type,
hoaslam: subst > ( subst > term > term ) > term ).
thf(func_def_86,type,
hoasinduction_p_and_p_prime: ( subst > term > subst > $o ) > ( term > $o ) > $o ).
thf(func_def_107,type,
hoasvar: subst > term > subst > $o ).
thf(func_def_121,type,
pushprop_p_and_p_prime: term > subst > ( term > $o ) > ( term > $o ) > $o ).
thf(func_def_142,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_143,type,
sK2: subst > term > subst > $o ).
thf(func_def_144,type,
sK3: term ).
thf(func_def_145,type,
sK4: term ).
thf(func_def_146,type,
sK5: subst ).
thf(func_def_147,type,
sK6: subst ).
thf(f752,plain,
$false,
inference(trivial_inequality_removal,[],[f751]) ).
thf(f751,plain,
$false = $true,
inference(boolean_simplification,[],[f750]) ).
thf(f750,plain,
( $false
= ( ( sub @ sK3 @ ( comp @ ( push @ sK4 @ sK5 ) @ sK6 ) )
= ( sub @ sK3 @ ( comp @ ( push @ sK4 @ sK5 ) @ sK6 ) ) ) ),
inference(forward_demodulation,[],[f749,f585]) ).
thf(f585,plain,
! [X2: term,X3: subst,X1: subst] :
( ( comp @ ( push @ X2 @ X3 ) @ X1 )
= ( push @ ( sub @ X2 @ X1 ) @ ( comp @ X3 @ X1 ) ) ),
inference(equality_proxy_clausification,[],[f584]) ).
thf(f584,plain,
! [X2: term,X3: subst,X1: subst] :
( ( ( comp @ ( push @ X2 @ X3 ) @ X1 )
= ( push @ ( sub @ X2 @ X1 ) @ ( comp @ X3 @ X1 ) ) )
= $true ),
inference(beta_eta_normalization,[],[f583]) ).
thf(f583,plain,
! [X2: term,X3: subst,X1: subst] :
( ( ^ [Y0: subst] :
( ( comp @ ( push @ X2 @ Y0 ) @ X1 )
= ( push @ ( sub @ X2 @ X1 ) @ ( comp @ Y0 @ X1 ) ) )
@ X3 )
= $true ),
inference(pi_clausification,[],[f582]) ).
thf(f582,plain,
! [X2: term,X1: subst] :
( ( !! @ subst
@ ^ [Y0: subst] :
( ( comp @ ( push @ X2 @ Y0 ) @ X1 )
= ( push @ ( sub @ X2 @ X1 ) @ ( comp @ Y0 @ X1 ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f581]) ).
thf(f581,plain,
! [X2: term,X1: subst] :
( $true
= ( ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( ( comp @ ( push @ Y0 @ Y1 ) @ X1 )
= ( push @ ( sub @ Y0 @ X1 ) @ ( comp @ Y1 @ X1 ) ) ) )
@ X2 ) ),
inference(pi_clausification,[],[f550]) ).
thf(f550,plain,
! [X1: subst] :
( ( !! @ term
@ ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( ( comp @ ( push @ Y0 @ Y1 ) @ X1 )
= ( push @ ( sub @ Y0 @ X1 ) @ ( comp @ Y1 @ X1 ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f549]) ).
thf(f549,plain,
! [X1: subst] :
( ( ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( comp @ ( push @ Y1 @ Y2 ) @ Y0 )
= ( push @ ( sub @ Y1 @ Y0 ) @ ( comp @ Y2 @ Y0 ) ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f540]) ).
thf(f540,plain,
( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( comp @ ( push @ Y1 @ Y2 ) @ Y0 )
= ( push @ ( sub @ Y1 @ Y0 ) @ ( comp @ Y2 @ Y0 ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f536]) ).
thf(f536,plain,
( ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( comp @ ( push @ Y1 @ Y2 ) @ Y0 )
= ( push @ ( sub @ Y1 @ Y0 ) @ ( comp @ Y2 @ Y0 ) ) ) ) ) )
=> ( !! @ ( subst > term > subst > $o )
@ ^ [Y0: subst > term > subst > $o] :
( ( !! @ ( subst > term > term )
@ ^ [Y1: subst > term > term] :
( ( !! @ term
@ ^ [Y2: term] :
( !! @ subst
@ ^ [Y3: subst] :
( !! @ subst
@ ^ [Y4: subst] :
( ( sub @ ( Y1 @ Y3 @ Y2 ) @ Y4 )
= ( Y1 @ ( comp @ Y3 @ Y4 ) @ ( sub @ Y2 @ Y4 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( Y1 @ id @ Y2 ) @ id ) ) )
=> ( Y0 @ id @ ( lam @ ( Y1 @ sh @ one ) ) @ id ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) @ id ) ) )
=> ( Y0 @ id @ ( lam @ ( sub @ Y1 @ ( push @ one @ sh ) ) ) @ id ) ) ) ) ) )
= $false ),
inference(boolean_simplification,[],[f533]) ).
thf(f533,plain,
( $false
= ( $true
=> ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( comp @ ( push @ Y1 @ Y2 ) @ Y0 )
= ( push @ ( sub @ Y1 @ Y0 ) @ ( comp @ Y2 @ Y0 ) ) ) ) ) )
=> ( !! @ ( subst > term > subst > $o )
@ ^ [Y0: subst > term > subst > $o] :
( ( !! @ ( subst > term > term )
@ ^ [Y1: subst > term > term] :
( ( !! @ term
@ ^ [Y2: term] :
( !! @ subst
@ ^ [Y3: subst] :
( !! @ subst
@ ^ [Y4: subst] :
( ( sub @ ( Y1 @ Y3 @ Y2 ) @ Y4 )
= ( Y1 @ ( comp @ Y3 @ Y4 ) @ ( sub @ Y2 @ Y4 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( Y1 @ id @ Y2 ) @ id ) ) )
=> ( Y0 @ id @ ( lam @ ( Y1 @ sh @ one ) ) @ id ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) @ id ) ) )
=> ( Y0 @ id @ ( lam @ ( sub @ Y1 @ ( push @ one @ sh ) ) ) @ id ) ) ) ) ) ) ) ),
inference(backward_demodulation,[],[f528,f531]) ).
thf(f531,plain,
( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub @ ( sub @ Y1 @ Y0 ) @ Y2 )
= ( sub @ Y1 @ ( comp @ Y0 @ Y2 ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f528]) ).
thf(f528,plain,
( $false
= ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub @ ( sub @ Y1 @ Y0 ) @ Y2 )
= ( sub @ Y1 @ ( comp @ Y0 @ Y2 ) ) ) ) ) )
=> ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( comp @ ( push @ Y1 @ Y2 ) @ Y0 )
= ( push @ ( sub @ Y1 @ Y0 ) @ ( comp @ Y2 @ Y0 ) ) ) ) ) )
=> ( !! @ ( subst > term > subst > $o )
@ ^ [Y0: subst > term > subst > $o] :
( ( !! @ ( subst > term > term )
@ ^ [Y1: subst > term > term] :
( ( !! @ term
@ ^ [Y2: term] :
( !! @ subst
@ ^ [Y3: subst] :
( !! @ subst
@ ^ [Y4: subst] :
( ( sub @ ( Y1 @ Y3 @ Y2 ) @ Y4 )
= ( Y1 @ ( comp @ Y3 @ Y4 ) @ ( sub @ Y2 @ Y4 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( Y1 @ id @ Y2 ) @ id ) ) )
=> ( Y0 @ id @ ( lam @ ( Y1 @ sh @ one ) ) @ id ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) @ id ) ) )
=> ( Y0 @ id @ ( lam @ ( sub @ Y1 @ ( push @ one @ sh ) ) ) @ id ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f527]) ).
thf(f527,plain,
( $true
= ( ~ ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub @ ( sub @ Y1 @ Y0 ) @ Y2 )
= ( sub @ Y1 @ ( comp @ Y0 @ Y2 ) ) ) ) ) )
=> ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( comp @ ( push @ Y1 @ Y2 ) @ Y0 )
= ( push @ ( sub @ Y1 @ Y0 ) @ ( comp @ Y2 @ Y0 ) ) ) ) ) )
=> ( !! @ ( subst > term > subst > $o )
@ ^ [Y0: subst > term > subst > $o] :
( ( !! @ ( subst > term > term )
@ ^ [Y1: subst > term > term] :
( ( !! @ term
@ ^ [Y2: term] :
( !! @ subst
@ ^ [Y3: subst] :
( !! @ subst
@ ^ [Y4: subst] :
( ( sub @ ( Y1 @ Y3 @ Y2 ) @ Y4 )
= ( Y1 @ ( comp @ Y3 @ Y4 ) @ ( sub @ Y2 @ Y4 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( Y1 @ id @ Y2 ) @ id ) ) )
=> ( Y0 @ id @ ( lam @ ( Y1 @ sh @ one ) ) @ id ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) @ id ) ) )
=> ( Y0 @ id @ ( lam @ ( sub @ Y1 @ ( push @ one @ sh ) ) ) @ id ) ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f526]) ).
thf(f526,plain,
( $true
= ( ~ ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub @ ( sub @ Y1 @ Y0 ) @ Y2 )
= ( sub @ Y1 @ ( comp @ Y0 @ Y2 ) ) ) ) ) )
=> ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( comp @ ( push @ Y1 @ Y2 ) @ Y0 )
= ( push @ ( sub @ Y1 @ Y0 ) @ ( comp @ Y2 @ Y0 ) ) ) ) ) )
=> ( !! @ ( subst > term > subst > $o )
@ ^ [Y0: subst > term > subst > $o] :
( ( !! @ ( subst > term > term )
@ ^ [Y1: subst > term > term] :
( ( !! @ term
@ ^ [Y2: term] :
( !! @ subst
@ ^ [Y3: subst] :
( !! @ subst
@ ^ [Y4: subst] :
( ( sub @ ( Y1 @ Y3 @ Y2 ) @ Y4 )
= ( Y1 @ ( comp @ Y3 @ Y4 ) @ ( sub @ Y2 @ Y4 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( Y1 @ id @ Y2 ) @ id ) ) )
=> ( Y0 @ id
@ ( ^ [Y2: subst,Y3: subst > term > term] : ( lam @ ( Y3 @ sh @ one ) )
@ id
@ ^ [Y2: subst,Y3: term] : ( Y1 @ Y2 @ Y3 ) )
@ id ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) @ id ) ) )
=> ( Y0 @ id @ ( lam @ ( sub @ Y1 @ ( push @ one @ sh ) ) ) @ id ) ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f428,f479]) ).
thf(f479,plain,
( hoasinduction_lem3aa_lthm
= ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub @ ( sub @ Y1 @ Y0 ) @ Y2 )
= ( sub @ Y1 @ ( comp @ Y0 @ Y2 ) ) ) ) ) )
=> ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( comp @ ( push @ Y1 @ Y2 ) @ Y0 )
= ( push @ ( sub @ Y1 @ Y0 ) @ ( comp @ Y2 @ Y0 ) ) ) ) ) )
=> ( !! @ ( subst > term > subst > $o )
@ ^ [Y0: subst > term > subst > $o] :
( ( !! @ ( subst > term > term )
@ ^ [Y1: subst > term > term] :
( ( !! @ term
@ ^ [Y2: term] :
( !! @ subst
@ ^ [Y3: subst] :
( !! @ subst
@ ^ [Y4: subst] :
( ( sub @ ( Y1 @ Y3 @ Y2 ) @ Y4 )
= ( Y1 @ ( comp @ Y3 @ Y4 ) @ ( sub @ Y2 @ Y4 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( Y1 @ id @ Y2 ) @ id ) ) )
=> ( Y0 @ id
@ ( ^ [Y2: subst,Y3: subst > term > term] : ( lam @ ( Y3 @ sh @ one ) )
@ id
@ ^ [Y2: subst,Y3: term] : ( Y1 @ Y2 @ Y3 ) )
@ id ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) @ id ) ) )
=> ( Y0 @ id @ ( lam @ ( sub @ Y1 @ ( push @ one @ sh ) ) ) @ id ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f351,f355,f336,f478]) ).
thf(f478,plain,
( hoasinduction_lem3aa
= ( !! @ ( subst > term > subst > $o )
@ ^ [Y0: subst > term > subst > $o] :
( ( !! @ ( subst > term > term )
@ ^ [Y1: subst > term > term] :
( ( !! @ term
@ ^ [Y2: term] :
( !! @ subst
@ ^ [Y3: subst] :
( !! @ subst
@ ^ [Y4: subst] :
( ( sub @ ( Y1 @ Y3 @ Y2 ) @ Y4 )
= ( Y1 @ ( comp @ Y3 @ Y4 ) @ ( sub @ Y2 @ Y4 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( Y1 @ id @ Y2 ) @ id ) ) )
=> ( Y0 @ id
@ ( ^ [Y2: subst,Y3: subst > term > term] : ( lam @ ( Y3 @ sh @ one ) )
@ id
@ ^ [Y2: subst,Y3: term] : ( Y1 @ Y2 @ Y3 ) )
@ id ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) @ id ) ) )
=> ( Y0 @ id @ ( lam @ ( sub @ Y1 @ ( push @ one @ sh ) ) ) @ id ) ) ) ) ) ),
inference(definition_unfolding,[],[f382,f386]) ).
thf(f386,plain,
( hoaslam
= ( ^ [Y0: subst,Y1: subst > term > term] : ( lam @ ( Y1 @ sh @ one ) ) ) ),
inference(cnf_transformation,[],[f307]) ).
thf(f307,plain,
( hoaslam
= ( ^ [Y0: subst,Y1: subst > term > term] : ( lam @ ( Y1 @ sh @ one ) ) ) ),
inference(fool_elimination,[],[f306]) ).
thf(f306,plain,
( hoaslam
= ( ^ [X0: subst,X1: subst > term > term] : ( lam @ ( X1 @ sh @ one ) ) ) ),
inference(rectify,[],[f56]) ).
thf(f56,axiom,
( hoaslam
= ( ^ [X2: subst,X10: subst > term > term] : ( lam @ ( X10 @ sh @ one ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoaslam) ).
thf(f382,plain,
( hoasinduction_lem3aa
= ( !! @ ( subst > term > subst > $o )
@ ^ [Y0: subst > term > subst > $o] :
( ( !! @ ( subst > term > term )
@ ^ [Y1: subst > term > term] :
( ( !! @ term
@ ^ [Y2: term] :
( !! @ subst
@ ^ [Y3: subst] :
( !! @ subst
@ ^ [Y4: subst] :
( ( sub @ ( Y1 @ Y3 @ Y2 ) @ Y4 )
= ( Y1 @ ( comp @ Y3 @ Y4 ) @ ( sub @ Y2 @ Y4 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( Y1 @ id @ Y2 ) @ id ) ) )
=> ( Y0 @ id
@ ( hoaslam @ id
@ ^ [Y2: subst,Y3: term] : ( Y1 @ Y2 @ Y3 ) )
@ id ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) @ id ) ) )
=> ( Y0 @ id @ ( lam @ ( sub @ Y1 @ ( push @ one @ sh ) ) ) @ id ) ) ) ) ) ),
inference(cnf_transformation,[],[f236]) ).
thf(f236,plain,
( hoasinduction_lem3aa
= ( !! @ ( subst > term > subst > $o )
@ ^ [Y0: subst > term > subst > $o] :
( ( !! @ ( subst > term > term )
@ ^ [Y1: subst > term > term] :
( ( !! @ term
@ ^ [Y2: term] :
( !! @ subst
@ ^ [Y3: subst] :
( !! @ subst
@ ^ [Y4: subst] :
( ( sub @ ( Y1 @ Y3 @ Y2 ) @ Y4 )
= ( Y1 @ ( comp @ Y3 @ Y4 ) @ ( sub @ Y2 @ Y4 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( Y1 @ id @ Y2 ) @ id ) ) )
=> ( Y0 @ id
@ ( hoaslam @ id
@ ^ [Y2: subst,Y3: term] : ( Y1 @ Y2 @ Y3 ) )
@ id ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) @ id ) ) )
=> ( Y0 @ id @ ( lam @ ( sub @ Y1 @ ( push @ one @ sh ) ) ) @ id ) ) ) ) ) ),
inference(fool_elimination,[],[f235]) ).
thf(f235,plain,
! [X0: subst > term > subst > $o] :
( ( ! [X1: subst > term > term] :
( ! [X2: subst,X3: subst,X4: term] :
( ( sub @ ( X1 @ X3 @ X4 ) @ X2 )
= ( X1 @ ( comp @ X3 @ X2 ) @ ( sub @ X4 @ X2 ) ) )
=> ( ! [X5: term] :
( ( X0 @ id @ X5 @ id )
=> ( X0 @ id @ ( X1 @ id @ X5 ) @ id ) )
=> ( X0 @ id
@ ( hoaslam @ id
@ ^ [X6: subst,X7: term] : ( X1 @ X6 @ X7 ) )
@ id ) ) )
=> ! [X8: term] :
( ! [X9: term] :
( ( X0 @ id @ X9 @ id )
=> ( X0 @ id @ ( sub @ X8 @ ( push @ X9 @ id ) ) @ id ) )
=> ( X0 @ id @ ( lam @ ( sub @ X8 @ ( push @ one @ sh ) ) ) @ id ) ) )
= hoasinduction_lem3aa ),
inference(rectify,[],[f96]) ).
thf(f96,axiom,
! [X5: subst > term > subst > $o] :
( ( ! [X10: subst > term > term] :
( ! [X3: subst,X2: subst,X0: term] :
( ( sub @ ( X10 @ X2 @ X0 ) @ X3 )
= ( X10 @ ( comp @ X2 @ X3 ) @ ( sub @ X0 @ X3 ) ) )
=> ( ! [X0: term] :
( ( X5 @ id @ X0 @ id )
=> ( X5 @ id @ ( X10 @ id @ X0 ) @ id ) )
=> ( X5 @ id
@ ( hoaslam @ id
@ ^ [X2: subst,X0: term] : ( X10 @ X2 @ X0 ) )
@ id ) ) )
=> ! [X0: term] :
( ! [X1: term] :
( ( X5 @ id @ X1 @ id )
=> ( X5 @ id @ ( sub @ X0 @ ( push @ X1 @ id ) ) @ id ) )
=> ( X5 @ id @ ( lam @ ( sub @ X0 @ ( push @ one @ sh ) ) ) @ id ) ) )
= hoasinduction_lem3aa ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lem3aa) ).
thf(f336,plain,
( axmap
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( comp @ ( push @ Y1 @ Y2 ) @ Y0 )
= ( push @ ( sub @ Y1 @ Y0 ) @ ( comp @ Y2 @ Y0 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f214]) ).
thf(f214,plain,
( axmap
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( comp @ ( push @ Y1 @ Y2 ) @ Y0 )
= ( push @ ( sub @ Y1 @ Y0 ) @ ( comp @ Y2 @ Y0 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f213]) ).
thf(f213,plain,
! [X0: subst,X1: term,X2: subst] :
( ( ( comp @ ( push @ X1 @ X0 ) @ X2 )
= ( push @ ( sub @ X1 @ X2 ) @ ( comp @ X0 @ X2 ) ) )
= axmap ),
inference(rectify,[],[f9]) ).
thf(f9,axiom,
! [X2: subst,X0: term,X3: subst] :
( ( ( comp @ ( push @ X0 @ X2 ) @ X3 )
= ( push @ ( sub @ X0 @ X3 ) @ ( comp @ X2 @ X3 ) ) )
= axmap ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axmap) ).
thf(f355,plain,
( axclos
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub @ ( sub @ Y1 @ Y0 ) @ Y2 )
= ( sub @ Y1 @ ( comp @ Y0 @ Y2 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f270]) ).
thf(f270,plain,
( axclos
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub @ ( sub @ Y1 @ Y0 ) @ Y2 )
= ( sub @ Y1 @ ( comp @ Y0 @ Y2 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f269]) ).
thf(f269,plain,
( axclos
= ( ! [X0: subst,X1: term,X2: subst] :
( ( sub @ ( sub @ X1 @ X2 ) @ X0 )
= ( sub @ X1 @ ( comp @ X2 @ X0 ) ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f5,axiom,
( axclos
= ( ! [X3: subst,X0: term,X2: subst] :
( ( sub @ ( sub @ X0 @ X2 ) @ X3 )
= ( sub @ X0 @ ( comp @ X2 @ X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axclos) ).
thf(f351,plain,
( hoasinduction_lem3aa_lthm
= ( axclos
=> ( axmap
=> hoasinduction_lem3aa ) ) ),
inference(cnf_transformation,[],[f199]) ).
thf(f199,plain,
( hoasinduction_lem3aa_lthm
= ( axclos
=> ( axmap
=> hoasinduction_lem3aa ) ) ),
inference(fool_elimination,[],[f198]) ).
thf(f198,plain,
( ( hoasinduction_lem3aa_lthm = axclos )
=> ( axmap
=> hoasinduction_lem3aa ) ),
inference(rectify,[],[f97]) ).
thf(f97,axiom,
( ( hoasinduction_lem3aa_lthm = axclos )
=> ( axmap
=> hoasinduction_lem3aa ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lem3aa_lthm) ).
thf(f428,plain,
( ~ hoasinduction_lem3aa_lthm = $true ),
inference(cnf_transformation,[],[f202]) ).
thf(f202,plain,
( ~ hoasinduction_lem3aa_lthm = $true ),
inference(fool_elimination,[],[f201]) ).
thf(f201,plain,
~ hoasinduction_lem3aa_lthm,
inference(rectify,[],[f115]) ).
thf(f115,negated_conjecture,
~ hoasinduction_lem3aa_lthm,
inference(negated_conjecture,[],[f114]) ).
thf(f114,conjecture,
hoasinduction_lem3aa_lthm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
thf(f749,plain,
( ( ( sub @ sK3 @ ( comp @ ( push @ sK4 @ sK5 ) @ sK6 ) )
= ( sub @ sK3 @ ( push @ ( sub @ sK4 @ sK6 ) @ ( comp @ sK5 @ sK6 ) ) ) )
= $false ),
inference(forward_demodulation,[],[f748,f543]) ).
thf(f543,plain,
! [X2: term,X3: subst,X1: subst] :
( ( sub @ ( sub @ X2 @ X1 ) @ X3 )
= ( sub @ X2 @ ( comp @ X1 @ X3 ) ) ),
inference(equality_proxy_clausification,[],[f542]) ).
thf(f542,plain,
! [X2: term,X3: subst,X1: subst] :
( ( ( sub @ ( sub @ X2 @ X1 ) @ X3 )
= ( sub @ X2 @ ( comp @ X1 @ X3 ) ) )
= $true ),
inference(beta_eta_normalization,[],[f541]) ).
thf(f541,plain,
! [X2: term,X3: subst,X1: subst] :
( ( ^ [Y0: subst] :
( ( sub @ ( sub @ X2 @ X1 ) @ Y0 )
= ( sub @ X2 @ ( comp @ X1 @ Y0 ) ) )
@ X3 )
= $true ),
inference(pi_clausification,[],[f538]) ).
thf(f538,plain,
! [X2: term,X1: subst] :
( ( !! @ subst
@ ^ [Y0: subst] :
( ( sub @ ( sub @ X2 @ X1 ) @ Y0 )
= ( sub @ X2 @ ( comp @ X1 @ Y0 ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f537]) ).
thf(f537,plain,
! [X2: term,X1: subst] :
( ( ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( ( sub @ ( sub @ Y0 @ X1 ) @ Y1 )
= ( sub @ Y0 @ ( comp @ X1 @ Y1 ) ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f535]) ).
thf(f535,plain,
! [X1: subst] :
( $true
= ( !! @ term
@ ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( ( sub @ ( sub @ Y0 @ X1 ) @ Y1 )
= ( sub @ Y0 @ ( comp @ X1 @ Y1 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f534]) ).
thf(f534,plain,
! [X1: subst] :
( $true
= ( ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub @ ( sub @ Y1 @ Y0 ) @ Y2 )
= ( sub @ Y1 @ ( comp @ Y0 @ Y2 ) ) ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f531]) ).
thf(f748,plain,
( ( ( sub @ ( sub @ sK3 @ ( push @ sK4 @ sK5 ) ) @ sK6 )
= ( sub @ sK3 @ ( push @ ( sub @ sK4 @ sK6 ) @ ( comp @ sK5 @ sK6 ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f747]) ).
thf(f747,plain,
( $false
= ( ^ [Y0: subst] :
( ( sub @ ( sub @ sK3 @ ( push @ sK4 @ sK5 ) ) @ Y0 )
= ( sub @ sK3 @ ( push @ ( sub @ sK4 @ Y0 ) @ ( comp @ sK5 @ Y0 ) ) ) )
@ sK6 ) ),
inference(sigma_clausification,[],[f716]) ).
thf(f716,plain,
( ( !! @ subst
@ ^ [Y0: subst] :
( ( sub @ ( sub @ sK3 @ ( push @ sK4 @ sK5 ) ) @ Y0 )
= ( sub @ sK3 @ ( push @ ( sub @ sK4 @ Y0 ) @ ( comp @ sK5 @ Y0 ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f715]) ).
thf(f715,plain,
( ( ^ [Y0: subst] :
( !! @ subst
@ ^ [Y1: subst] :
( ( sub @ ( sub @ sK3 @ ( push @ sK4 @ Y0 ) ) @ Y1 )
= ( sub @ sK3 @ ( push @ ( sub @ sK4 @ Y1 ) @ ( comp @ Y0 @ Y1 ) ) ) ) )
@ sK5 )
= $false ),
inference(sigma_clausification,[],[f711]) ).
thf(f711,plain,
( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ subst
@ ^ [Y1: subst] :
( ( sub @ ( sub @ sK3 @ ( push @ sK4 @ Y0 ) ) @ Y1 )
= ( sub @ sK3 @ ( push @ ( sub @ sK4 @ Y1 ) @ ( comp @ Y0 @ Y1 ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f709]) ).
thf(f709,plain,
( $false
= ( ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub @ ( sub @ sK3 @ ( push @ Y0 @ Y1 ) ) @ Y2 )
= ( sub @ sK3 @ ( push @ ( sub @ Y0 @ Y2 ) @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
@ sK4 ) ),
inference(sigma_clausification,[],[f707]) ).
thf(f707,plain,
( $false
= ( !! @ term
@ ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub @ ( sub @ sK3 @ ( push @ Y0 @ Y1 ) ) @ Y2 )
= ( sub @ sK3 @ ( push @ ( sub @ Y0 @ Y2 ) @ ( comp @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f667]) ).
thf(f667,plain,
( ( ~ ( !! @ term
@ ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub @ ( sub @ sK3 @ ( push @ Y0 @ Y1 ) ) @ Y2 )
= ( sub @ sK3 @ ( push @ ( sub @ Y0 @ Y2 ) @ ( comp @ Y1 @ Y2 ) ) ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[],[f666]) ).
thf(f666,plain,
( ( ( !! @ term
@ ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub @ ( sub @ sK3 @ ( push @ Y0 @ Y1 ) ) @ Y2 )
= ( sub @ sK3 @ ( push @ ( sub @ Y0 @ Y2 ) @ ( comp @ Y1 @ Y2 ) ) ) ) ) ) )
=> $false )
= $true ),
inference(beta_eta_normalization,[],[f665]) ).
thf(f665,plain,
( ( ( !! @ term
@ ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub
@ ( ^ [Y3: subst,Y4: term] :
( sub
@ ( ^ [Y5: subst,Y6: term] : sK3
@ Y3
@ Y4 )
@ ( ^ [Y5: subst,Y6: term] :
( push
@ ( ^ [Y7: subst,Y8: term] : Y8
@ Y5
@ Y6 )
@ ( ^ [Y7: subst,Y8: term] : Y7
@ Y5
@ Y6 ) )
@ Y3
@ Y4 ) )
@ Y1
@ Y0 )
@ Y2 )
= ( ^ [Y3: subst,Y4: term] :
( sub
@ ( ^ [Y5: subst,Y6: term] : sK3
@ Y3
@ Y4 )
@ ( ^ [Y5: subst,Y6: term] :
( push
@ ( ^ [Y7: subst,Y8: term] : Y8
@ Y5
@ Y6 )
@ ( ^ [Y7: subst,Y8: term] : Y7
@ Y5
@ Y6 ) )
@ Y3
@ Y4 ) )
@ ( comp @ Y1 @ Y2 )
@ ( sub @ Y0 @ Y2 ) ) ) ) ) )
=> $false )
= $true ),
inference(superposition,[],[f624,f596]) ).
thf(f596,plain,
( $false
= ( ( !! @ term
@ ^ [Y0: term] :
( ( sK2 @ id @ Y0 @ id )
=> ( sK2 @ id @ ( sub @ sK3 @ ( push @ Y0 @ id ) ) @ id ) ) )
=> ( sK2 @ id @ ( lam @ ( sub @ sK3 @ ( push @ one @ sh ) ) ) @ id ) ) ),
inference(beta_eta_normalization,[],[f595]) ).
thf(f595,plain,
( $false
= ( ^ [Y0: term] :
( ( !! @ term
@ ^ [Y1: term] :
( ( sK2 @ id @ Y1 @ id )
=> ( sK2 @ id @ ( sub @ Y0 @ ( push @ Y1 @ id ) ) @ id ) ) )
=> ( sK2 @ id @ ( lam @ ( sub @ Y0 @ ( push @ one @ sh ) ) ) @ id ) )
@ sK3 ) ),
inference(sigma_clausification,[],[f579]) ).
thf(f579,plain,
( ( !! @ term
@ ^ [Y0: term] :
( ( !! @ term
@ ^ [Y1: term] :
( ( sK2 @ id @ Y1 @ id )
=> ( sK2 @ id @ ( sub @ Y0 @ ( push @ Y1 @ id ) ) @ id ) ) )
=> ( sK2 @ id @ ( lam @ ( sub @ Y0 @ ( push @ one @ sh ) ) ) @ id ) ) )
= $false ),
inference(binary_proxy_clausification,[],[f564]) ).
thf(f564,plain,
( $false
= ( ( !! @ ( subst > term > term )
@ ^ [Y0: subst > term > term] :
( ( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ subst
@ ^ [Y3: subst] :
( ( sub @ ( Y0 @ Y2 @ Y1 ) @ Y3 )
= ( Y0 @ ( comp @ Y2 @ Y3 ) @ ( sub @ Y1 @ Y3 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( sK2 @ id @ Y1 @ id )
=> ( sK2 @ id @ ( Y0 @ id @ Y1 ) @ id ) ) )
=> ( sK2 @ id @ ( lam @ ( Y0 @ sh @ one ) ) @ id ) ) ) )
=> ( !! @ term
@ ^ [Y0: term] :
( ( !! @ term
@ ^ [Y1: term] :
( ( sK2 @ id @ Y1 @ id )
=> ( sK2 @ id @ ( sub @ Y0 @ ( push @ Y1 @ id ) ) @ id ) ) )
=> ( sK2 @ id @ ( lam @ ( sub @ Y0 @ ( push @ one @ sh ) ) ) @ id ) ) ) ) ),
inference(beta_eta_normalization,[],[f563]) ).
thf(f563,plain,
( ( ^ [Y0: subst > term > subst > $o] :
( ( !! @ ( subst > term > term )
@ ^ [Y1: subst > term > term] :
( ( !! @ term
@ ^ [Y2: term] :
( !! @ subst
@ ^ [Y3: subst] :
( !! @ subst
@ ^ [Y4: subst] :
( ( sub @ ( Y1 @ Y3 @ Y2 ) @ Y4 )
= ( Y1 @ ( comp @ Y3 @ Y4 ) @ ( sub @ Y2 @ Y4 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( Y1 @ id @ Y2 ) @ id ) ) )
=> ( Y0 @ id @ ( lam @ ( Y1 @ sh @ one ) ) @ id ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) @ id ) ) )
=> ( Y0 @ id @ ( lam @ ( sub @ Y1 @ ( push @ one @ sh ) ) ) @ id ) ) ) )
@ sK2 )
= $false ),
inference(sigma_clausification,[],[f551]) ).
thf(f551,plain,
( $false
= ( !! @ ( subst > term > subst > $o )
@ ^ [Y0: subst > term > subst > $o] :
( ( !! @ ( subst > term > term )
@ ^ [Y1: subst > term > term] :
( ( !! @ term
@ ^ [Y2: term] :
( !! @ subst
@ ^ [Y3: subst] :
( !! @ subst
@ ^ [Y4: subst] :
( ( sub @ ( Y1 @ Y3 @ Y2 ) @ Y4 )
= ( Y1 @ ( comp @ Y3 @ Y4 ) @ ( sub @ Y2 @ Y4 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( Y1 @ id @ Y2 ) @ id ) ) )
=> ( Y0 @ id @ ( lam @ ( Y1 @ sh @ one ) ) @ id ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) @ id ) ) )
=> ( Y0 @ id @ ( lam @ ( sub @ Y1 @ ( push @ one @ sh ) ) ) @ id ) ) ) ) ) ),
inference(boolean_simplification,[],[f548]) ).
thf(f548,plain,
( $false
= ( $true
=> ( !! @ ( subst > term > subst > $o )
@ ^ [Y0: subst > term > subst > $o] :
( ( !! @ ( subst > term > term )
@ ^ [Y1: subst > term > term] :
( ( !! @ term
@ ^ [Y2: term] :
( !! @ subst
@ ^ [Y3: subst] :
( !! @ subst
@ ^ [Y4: subst] :
( ( sub @ ( Y1 @ Y3 @ Y2 ) @ Y4 )
= ( Y1 @ ( comp @ Y3 @ Y4 ) @ ( sub @ Y2 @ Y4 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( Y1 @ id @ Y2 ) @ id ) ) )
=> ( Y0 @ id @ ( lam @ ( Y1 @ sh @ one ) ) @ id ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) @ id ) ) )
=> ( Y0 @ id @ ( lam @ ( sub @ Y1 @ ( push @ one @ sh ) ) ) @ id ) ) ) ) ) ) ),
inference(backward_demodulation,[],[f536,f540]) ).
thf(f624,plain,
! [X1: subst > term > term] :
( ( ( !! @ term
@ ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub @ ( X1 @ Y1 @ Y0 ) @ Y2 )
= ( X1 @ ( comp @ Y1 @ Y2 ) @ ( sub @ Y0 @ Y2 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y0: term] :
( ( sK2 @ id @ Y0 @ id )
=> ( sK2 @ id @ ( X1 @ id @ Y0 ) @ id ) ) )
=> ( sK2 @ id @ ( lam @ ( X1 @ sh @ one ) ) @ id ) ) )
= $true ),
inference(beta_eta_normalization,[],[f623]) ).
thf(f623,plain,
! [X1: subst > term > term] :
( ( ^ [Y0: subst > term > term] :
( ( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ subst
@ ^ [Y3: subst] :
( ( sub @ ( Y0 @ Y2 @ Y1 ) @ Y3 )
= ( Y0 @ ( comp @ Y2 @ Y3 ) @ ( sub @ Y1 @ Y3 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( sK2 @ id @ Y1 @ id )
=> ( sK2 @ id @ ( Y0 @ id @ Y1 ) @ id ) ) )
=> ( sK2 @ id @ ( lam @ ( Y0 @ sh @ one ) ) @ id ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f604]) ).
thf(f604,plain,
( $true
= ( !! @ ( subst > term > term )
@ ^ [Y0: subst > term > term] :
( ( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ subst
@ ^ [Y3: subst] :
( ( sub @ ( Y0 @ Y2 @ Y1 ) @ Y3 )
= ( Y0 @ ( comp @ Y2 @ Y3 ) @ ( sub @ Y1 @ Y3 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( sK2 @ id @ Y1 @ id )
=> ( sK2 @ id @ ( Y0 @ id @ Y1 ) @ id ) ) )
=> ( sK2 @ id @ ( lam @ ( Y0 @ sh @ one ) ) @ id ) ) ) ) ),
inference(not_proxy_clausification,[],[f597]) ).
thf(f597,plain,
( $false
= ( ~ ( !! @ ( subst > term > term )
@ ^ [Y0: subst > term > term] :
( ( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ subst
@ ^ [Y3: subst] :
( ( sub @ ( Y0 @ Y2 @ Y1 ) @ Y3 )
= ( Y0 @ ( comp @ Y2 @ Y3 ) @ ( sub @ Y1 @ Y3 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( sK2 @ id @ Y1 @ id )
=> ( sK2 @ id @ ( Y0 @ id @ Y1 ) @ id ) ) )
=> ( sK2 @ id @ ( lam @ ( Y0 @ sh @ one ) ) @ id ) ) ) ) ) ),
inference(boolean_simplification,[],[f594]) ).
thf(f594,plain,
( $false
= ( ( !! @ ( subst > term > term )
@ ^ [Y0: subst > term > term] :
( ( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ subst
@ ^ [Y3: subst] :
( ( sub @ ( Y0 @ Y2 @ Y1 ) @ Y3 )
= ( Y0 @ ( comp @ Y2 @ Y3 ) @ ( sub @ Y1 @ Y3 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( sK2 @ id @ Y1 @ id )
=> ( sK2 @ id @ ( Y0 @ id @ Y1 ) @ id ) ) )
=> ( sK2 @ id @ ( lam @ ( Y0 @ sh @ one ) ) @ id ) ) ) )
=> $false ) ),
inference(backward_demodulation,[],[f564,f579]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ALG265^2 : TPTP v8.2.0. Bugfixed v5.2.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat May 18 23:46:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.14/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.40 % (6766)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.40 % (6767)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.14/0.40 % (6769)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.40 % (6770)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.40 % (6771)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.14/0.40 % (6772)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.40 % (6773)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.40 % (6767)Instruction limit reached!
% 0.14/0.40 % (6767)------------------------------
% 0.14/0.40 % (6767)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (6767)Termination reason: Unknown
% 0.14/0.40 % (6767)Termination phase: shuffling
% 0.14/0.40
% 0.14/0.40 % (6767)Memory used [KB]: 1279
% 0.14/0.40 % (6767)Time elapsed: 0.003 s
% 0.14/0.40 % (6767)Instructions burned: 4 (million)
% 0.14/0.40 % (6767)------------------------------
% 0.14/0.40 % (6767)------------------------------
% 0.14/0.40 % (6769)Instruction limit reached!
% 0.14/0.40 % (6769)------------------------------
% 0.14/0.40 % (6769)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (6769)Termination reason: Unknown
% 0.14/0.40 % (6769)Termination phase: shuffling
% 0.14/0.40
% 0.14/0.40 % (6769)Memory used [KB]: 1279
% 0.14/0.40 % (6769)Time elapsed: 0.003 s
% 0.14/0.40 % (6769)Instructions burned: 3 (million)
% 0.14/0.40 % (6770)Instruction limit reached!
% 0.14/0.40 % (6770)------------------------------
% 0.14/0.40 % (6770)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (6770)Termination reason: Unknown
% 0.14/0.40 % (6770)Termination phase: shuffling
% 0.14/0.40
% 0.14/0.40 % (6770)Memory used [KB]: 1279
% 0.14/0.40 % (6770)Time elapsed: 0.003 s
% 0.14/0.40 % (6770)Instructions burned: 2 (million)
% 0.14/0.40 % (6770)------------------------------
% 0.14/0.40 % (6770)------------------------------
% 0.14/0.40 % (6769)------------------------------
% 0.14/0.40 % (6769)------------------------------
% 0.14/0.40 % (6768)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.14/0.40 % (6773)Instruction limit reached!
% 0.14/0.40 % (6773)------------------------------
% 0.14/0.40 % (6773)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (6773)Termination reason: Unknown
% 0.14/0.40 % (6773)Termination phase: shuffling
% 0.14/0.40
% 0.14/0.40 % (6773)Memory used [KB]: 1279
% 0.14/0.40 % (6773)Time elapsed: 0.004 s
% 0.14/0.40 % (6773)Instructions burned: 4 (million)
% 0.14/0.40 % (6773)------------------------------
% 0.14/0.40 % (6773)------------------------------
% 0.14/0.41 % (6772)Instruction limit reached!
% 0.14/0.41 % (6772)------------------------------
% 0.14/0.41 % (6772)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (6772)Termination reason: Unknown
% 0.14/0.41 % (6772)Termination phase: Property scanning
% 0.14/0.41
% 0.14/0.41 % (6772)Memory used [KB]: 1663
% 0.14/0.41 % (6772)Time elapsed: 0.012 s
% 0.14/0.41 % (6772)Instructions burned: 20 (million)
% 0.14/0.41 % (6772)------------------------------
% 0.14/0.41 % (6772)------------------------------
% 0.14/0.41 % (6768)Instruction limit reached!
% 0.14/0.41 % (6768)------------------------------
% 0.14/0.41 % (6768)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (6768)Termination reason: Unknown
% 0.14/0.41 % (6768)Termination phase: Property scanning
% 0.14/0.41
% 0.14/0.41 % (6768)Memory used [KB]: 1791
% 0.14/0.41 % (6768)Time elapsed: 0.015 s
% 0.14/0.41 % (6768)Instructions burned: 27 (million)
% 0.14/0.41 % (6768)------------------------------
% 0.14/0.41 % (6768)------------------------------
% 0.14/0.41 % (6774)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.14/0.41 % (6775)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.14/0.41 % (6776)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.41 % (6771)Refutation not found, incomplete strategy
% 0.14/0.41 % (6771)------------------------------
% 0.14/0.41 % (6771)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (6771)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.41
% 0.14/0.41
% 0.14/0.41 % (6771)Memory used [KB]: 6140
% 0.14/0.41 % (6771)Time elapsed: 0.018 s
% 0.14/0.41 % (6771)Instructions burned: 29 (million)
% 0.14/0.41 % (6771)------------------------------
% 0.14/0.41 % (6771)------------------------------
% 0.14/0.42 % (6777)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.14/0.42 % (6776)Instruction limit reached!
% 0.14/0.42 % (6776)------------------------------
% 0.14/0.42 % (6776)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42 % (6776)Termination reason: Unknown
% 0.14/0.42 % (6776)Termination phase: shuffling
% 0.14/0.42
% 0.14/0.42 % (6776)Memory used [KB]: 1279
% 0.14/0.42 % (6776)Time elapsed: 0.004 s
% 0.14/0.42 % (6776)Instructions burned: 4 (million)
% 0.14/0.42 % (6776)------------------------------
% 0.14/0.42 % (6776)------------------------------
% 0.20/0.42 % (6775)Instruction limit reached!
% 0.20/0.42 % (6775)------------------------------
% 0.20/0.42 % (6775)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (6775)Termination reason: Unknown
% 0.20/0.42 % (6775)Termination phase: Property scanning
% 0.20/0.42
% 0.20/0.42 % (6775)Memory used [KB]: 1663
% 0.20/0.42 % (6775)Time elapsed: 0.010 s
% 0.20/0.42 % (6775)Instructions burned: 15 (million)
% 0.20/0.42 % (6775)------------------------------
% 0.20/0.42 % (6775)------------------------------
% 0.20/0.42 % (6778)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.43 % (6778)Instruction limit reached!
% 0.20/0.43 % (6778)------------------------------
% 0.20/0.43 % (6778)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (6778)Termination reason: Unknown
% 0.20/0.43 % (6778)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (6778)Memory used [KB]: 1407
% 0.20/0.43 % (6778)Time elapsed: 0.006 s
% 0.20/0.43 % (6778)Instructions burned: 8 (million)
% 0.20/0.43 % (6778)------------------------------
% 0.20/0.43 % (6778)------------------------------
% 0.20/0.43 % (6779)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.43 % (6780)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.43 % (6781)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.43 % (6780)Instruction limit reached!
% 0.20/0.43 % (6780)------------------------------
% 0.20/0.43 % (6780)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (6780)Termination reason: Unknown
% 0.20/0.43 % (6780)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (6780)Memory used [KB]: 1279
% 0.20/0.43 % (6774)Instruction limit reached!
% 0.20/0.43 % (6774)------------------------------
% 0.20/0.43 % (6774)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (6780)Time elapsed: 0.004 s
% 0.20/0.43 % (6780)Instructions burned: 4 (million)
% 0.20/0.43 % (6780)------------------------------
% 0.20/0.43 % (6780)------------------------------
% 0.20/0.43 % (6774)Termination reason: Unknown
% 0.20/0.43 % (6774)Termination phase: Property scanning
% 0.20/0.43
% 0.20/0.43 % (6774)Memory used [KB]: 1791
% 0.20/0.43 % (6774)Time elapsed: 0.020 s
% 0.20/0.43 % (6774)Instructions burned: 38 (million)
% 0.20/0.43 % (6774)------------------------------
% 0.20/0.43 % (6774)------------------------------
% 0.20/0.43 % (6781)Instruction limit reached!
% 0.20/0.43 % (6781)------------------------------
% 0.20/0.43 % (6781)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (6781)Termination reason: Unknown
% 0.20/0.43 % (6781)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (6781)Memory used [KB]: 1279
% 0.20/0.43 % (6781)Time elapsed: 0.004 s
% 0.20/0.43 % (6781)Instructions burned: 4 (million)
% 0.20/0.43 % (6781)------------------------------
% 0.20/0.43 % (6781)------------------------------
% 0.20/0.44 % (6779)Instruction limit reached!
% 0.20/0.44 % (6779)------------------------------
% 0.20/0.44 % (6779)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (6779)Termination reason: Unknown
% 0.20/0.44 % (6779)Termination phase: shuffling
% 0.20/0.44
% 0.20/0.44 % (6779)Memory used [KB]: 1535
% 0.20/0.44 % (6779)Time elapsed: 0.010 s
% 0.20/0.44 % (6779)Instructions burned: 17 (million)
% 0.20/0.44 % (6779)------------------------------
% 0.20/0.44 % (6779)------------------------------
% 0.20/0.44 % (6782)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.44 % (6782)Instruction limit reached!
% 0.20/0.44 % (6782)------------------------------
% 0.20/0.44 % (6782)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (6782)Termination reason: Unknown
% 0.20/0.44 % (6782)Termination phase: shuffling
% 0.20/0.44
% 0.20/0.44 % (6782)Memory used [KB]: 1407
% 0.20/0.44 % (6782)Time elapsed: 0.006 s
% 0.20/0.44 % (6782)Instructions burned: 8 (million)
% 0.20/0.44 % (6782)------------------------------
% 0.20/0.44 % (6782)------------------------------
% 0.20/0.44 % (6783)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.44 % (6783)Instruction limit reached!
% 0.20/0.44 % (6783)------------------------------
% 0.20/0.44 % (6783)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (6783)Termination reason: Unknown
% 0.20/0.44 % (6783)Termination phase: shuffling
% 0.20/0.44
% 0.20/0.44 % (6783)Memory used [KB]: 1279
% 0.20/0.44 % (6783)Time elapsed: 0.004 s
% 0.20/0.44 % (6783)Instructions burned: 4 (million)
% 0.20/0.44 % (6783)------------------------------
% 0.20/0.44 % (6783)------------------------------
% 0.20/0.45 % (6784)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.45 % (6785)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.20/0.45 % (6786)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.20/0.45 % (6784)Instruction limit reached!
% 0.20/0.45 % (6784)------------------------------
% 0.20/0.45 % (6784)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (6784)Termination reason: Unknown
% 0.20/0.45 % (6784)Termination phase: shuffling
% 0.20/0.45
% 0.20/0.45 % (6784)Memory used [KB]: 1279
% 0.20/0.45 % (6784)Time elapsed: 0.004 s
% 0.20/0.45 % (6784)Instructions burned: 4 (million)
% 0.20/0.45 % (6784)------------------------------
% 0.20/0.45 % (6784)------------------------------
% 0.20/0.45 % (6787)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.45 % (6787)Instruction limit reached!
% 0.20/0.45 % (6787)------------------------------
% 0.20/0.45 % (6787)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (6787)Termination reason: Unknown
% 0.20/0.45 % (6787)Termination phase: shuffling
% 0.20/0.45
% 0.20/0.45 % (6787)Memory used [KB]: 1279
% 0.20/0.45 % (6787)Time elapsed: 0.005 s
% 0.20/0.45 % (6787)Instructions burned: 6 (million)
% 0.20/0.45 % (6787)------------------------------
% 0.20/0.45 % (6787)------------------------------
% 0.20/0.46 % (6788)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.20/0.46 % (6785)Instruction limit reached!
% 0.20/0.46 % (6785)------------------------------
% 0.20/0.46 % (6785)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46 % (6785)Termination reason: Unknown
% 0.20/0.46 % (6785)Termination phase: shuffling
% 0.20/0.46
% 0.20/0.46 % (6785)Memory used [KB]: 1663
% 0.20/0.46 % (6785)Time elapsed: 0.011 s
% 0.20/0.46 % (6785)Instructions burned: 19 (million)
% 0.20/0.46 % (6785)------------------------------
% 0.20/0.46 % (6785)------------------------------
% 0.20/0.46 % (6789)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.46 % (6786)Refutation not found, incomplete strategy
% 0.20/0.46 % (6786)------------------------------
% 0.20/0.46 % (6786)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46 % (6786)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.46
% 0.20/0.46
% 0.20/0.46 % (6786)Memory used [KB]: 6140
% 0.20/0.46 % (6786)Time elapsed: 0.015 s
% 0.20/0.46 % (6786)Instructions burned: 25 (million)
% 0.20/0.46 % (6786)------------------------------
% 0.20/0.46 % (6786)------------------------------
% 0.20/0.46 % (6790)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.46 % (6790)Instruction limit reached!
% 0.20/0.46 % (6790)------------------------------
% 0.20/0.46 % (6790)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46 % (6790)Termination reason: Unknown
% 0.20/0.46 % (6790)Termination phase: shuffling
% 0.20/0.46
% 0.20/0.46 % (6790)Memory used [KB]: 1279
% 0.20/0.46 % (6790)Time elapsed: 0.004 s
% 0.20/0.46 % (6790)Instructions burned: 5 (million)
% 0.20/0.46 % (6790)------------------------------
% 0.20/0.46 % (6790)------------------------------
% 0.20/0.47 % (6791)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.47 % (6789)Instruction limit reached!
% 0.20/0.47 % (6789)------------------------------
% 0.20/0.47 % (6789)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.47 % (6789)Termination reason: Unknown
% 0.20/0.47 % (6789)Termination phase: shuffling
% 0.20/0.47
% 0.20/0.47 % (6789)Memory used [KB]: 1663
% 0.20/0.47 % (6789)Time elapsed: 0.012 s
% 0.20/0.47 % (6789)Instructions burned: 21 (million)
% 0.20/0.47 % (6789)------------------------------
% 0.20/0.47 % (6789)------------------------------
% 0.20/0.47 % (6792)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.20/0.47 % (6791)Instruction limit reached!
% 0.20/0.47 % (6791)------------------------------
% 0.20/0.47 % (6791)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.47 % (6791)Termination reason: Unknown
% 0.20/0.47 % (6791)Termination phase: shuffling
% 0.20/0.47
% 0.20/0.47 % (6791)Memory used [KB]: 1279
% 0.20/0.47 % (6791)Time elapsed: 0.005 s
% 0.20/0.47 % (6791)Instructions burned: 6 (million)
% 0.20/0.47 % (6791)------------------------------
% 0.20/0.47 % (6791)------------------------------
% 0.20/0.48 % (6793)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.20/0.48 % (6794)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.20/0.48 % (6795)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.20/0.48 % (6766)Instruction limit reached!
% 0.20/0.48 % (6766)------------------------------
% 0.20/0.48 % (6766)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.48 % (6766)Termination reason: Unknown
% 0.20/0.48 % (6766)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (6766)Memory used [KB]: 7036
% 0.20/0.48 % (6766)Time elapsed: 0.088 s
% 0.20/0.48 % (6766)Instructions burned: 183 (million)
% 0.20/0.48 % (6766)------------------------------
% 0.20/0.48 % (6766)------------------------------
% 0.20/0.49 % (6796)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.20/0.49 % (6794)Instruction limit reached!
% 0.20/0.49 % (6794)------------------------------
% 0.20/0.49 % (6794)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.49 % (6794)Termination reason: Unknown
% 0.20/0.49 % (6794)Termination phase: shuffling
% 0.20/0.49
% 0.20/0.49 % (6794)Memory used [KB]: 1663
% 0.20/0.49 % (6794)Time elapsed: 0.011 s
% 0.20/0.49 % (6794)Instructions burned: 19 (million)
% 0.20/0.49 % (6794)------------------------------
% 0.20/0.49 % (6794)------------------------------
% 0.20/0.49 % (6796)Instruction limit reached!
% 0.20/0.49 % (6796)------------------------------
% 0.20/0.49 % (6796)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.49 % (6796)Termination reason: Unknown
% 0.20/0.49 % (6796)Termination phase: shuffling
% 0.20/0.49
% 0.20/0.49 % (6796)Memory used [KB]: 1663
% 0.20/0.49 % (6796)Time elapsed: 0.011 s
% 0.20/0.49 % (6796)Instructions burned: 18 (million)
% 0.20/0.49 % (6796)------------------------------
% 0.20/0.49 % (6796)------------------------------
% 0.20/0.50 % (6797)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.20/0.50 % (6797)Instruction limit reached!
% 0.20/0.50 % (6797)------------------------------
% 0.20/0.50 % (6797)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.50 % (6797)Termination reason: Unknown
% 0.20/0.50 % (6797)Termination phase: shuffling
% 0.20/0.50
% 0.20/0.50 % (6797)Memory used [KB]: 1279
% 0.20/0.50 % (6797)Time elapsed: 0.004 s
% 0.20/0.50 % (6797)Instructions burned: 4 (million)
% 0.20/0.50 % (6797)------------------------------
% 0.20/0.50 % (6797)------------------------------
% 0.20/0.50 % (6798)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.20/0.51 % (6799)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.20/0.51 % (6795)Refutation not found, incomplete strategy
% 0.20/0.51 % (6795)------------------------------
% 0.20/0.51 % (6795)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.51 % (6795)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51
% 0.20/0.51 % (6795)Memory used [KB]: 6268
% 0.20/0.51 % (6795)Time elapsed: 0.028 s
% 0.20/0.51 % (6795)Instructions burned: 56 (million)
% 0.20/0.51 % (6795)------------------------------
% 0.20/0.51 % (6795)------------------------------
% 0.20/0.52 % (6800)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.20/0.52 % (6798)Instruction limit reached!
% 0.20/0.52 % (6798)------------------------------
% 0.20/0.52 % (6798)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.52 % (6798)Termination reason: Unknown
% 0.20/0.52 % (6798)Termination phase: Property scanning
% 0.20/0.52
% 0.20/0.52 % (6798)Memory used [KB]: 1791
% 0.20/0.52 % (6798)Time elapsed: 0.016 s
% 0.20/0.52 % (6798)Instructions burned: 30 (million)
% 0.20/0.52 % (6798)------------------------------
% 0.20/0.52 % (6798)------------------------------
% 0.20/0.53 % (6801)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.20/0.53 % (6801)Instruction limit reached!
% 0.20/0.53 % (6801)------------------------------
% 0.20/0.53 % (6801)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.53 % (6801)Termination reason: Unknown
% 0.20/0.53 % (6801)Termination phase: shuffling
% 0.20/0.53
% 0.20/0.53 % (6801)Memory used [KB]: 1279
% 0.20/0.53 % (6801)Time elapsed: 0.004 s
% 0.20/0.53 % (6801)Instructions burned: 4 (million)
% 0.20/0.53 % (6801)------------------------------
% 0.20/0.53 % (6801)------------------------------
% 0.20/0.53 % (6802)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2998ds/20Mi)
% 0.20/0.54 % (6803)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2998ds/86Mi)
% 0.20/0.54 % (6802)Instruction limit reached!
% 0.20/0.54 % (6802)------------------------------
% 0.20/0.54 % (6802)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.54 % (6802)Termination reason: Unknown
% 0.20/0.54 % (6802)Termination phase: Property scanning
% 0.20/0.54
% 0.20/0.54 % (6802)Memory used [KB]: 1663
% 0.20/0.54 % (6802)Time elapsed: 0.013 s
% 0.20/0.54 % (6802)Instructions burned: 21 (million)
% 0.20/0.54 % (6802)------------------------------
% 0.20/0.54 % (6802)------------------------------
% 0.20/0.56 % (6804)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 0.20/0.56 % (6800)Instruction limit reached!
% 0.20/0.56 % (6800)------------------------------
% 0.20/0.56 % (6800)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.56 % (6800)Termination reason: Unknown
% 0.20/0.56 % (6800)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (6800)Memory used [KB]: 6652
% 0.20/0.56 % (6800)Time elapsed: 0.047 s
% 0.20/0.56 % (6800)Instructions burned: 100 (million)
% 0.20/0.56 % (6800)------------------------------
% 0.20/0.56 % (6800)------------------------------
% 0.20/0.57 % (6799)Instruction limit reached!
% 0.20/0.57 % (6799)------------------------------
% 0.20/0.57 % (6799)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.57 % (6799)Termination reason: Unknown
% 0.20/0.57 % (6799)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (6799)Memory used [KB]: 6652
% 0.20/0.57 % (6799)Time elapsed: 0.082 s
% 0.20/0.57 % (6799)Instructions burned: 127 (million)
% 0.20/0.57 % (6799)------------------------------
% 0.20/0.57 % (6799)------------------------------
% 0.20/0.58 % (6805)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 0.20/0.58 % (6803)Instruction limit reached!
% 0.20/0.58 % (6803)------------------------------
% 0.20/0.58 % (6803)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.58 % (6803)Termination reason: Unknown
% 0.20/0.58 % (6803)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (6803)Memory used [KB]: 6524
% 0.20/0.58 % (6803)Time elapsed: 0.040 s
% 0.20/0.58 % (6803)Instructions burned: 86 (million)
% 0.20/0.58 % (6803)------------------------------
% 0.20/0.58 % (6803)------------------------------
% 0.20/0.58 % (6806)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2997ds/448Mi)
% 1.74/0.59 % (6805)Instruction limit reached!
% 1.74/0.59 % (6805)------------------------------
% 1.74/0.59 % (6805)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.74/0.59 % (6805)Termination reason: Unknown
% 1.74/0.59 % (6805)Termination phase: Property scanning
% 1.74/0.59
% 1.74/0.59 % (6805)Memory used [KB]: 1791
% 1.74/0.59 % (6805)Time elapsed: 0.021 s
% 1.74/0.59 % (6805)Instructions burned: 41 (million)
% 1.74/0.59 % (6805)------------------------------
% 1.74/0.59 % (6805)------------------------------
% 1.74/0.59 % (6807)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2997ds/46Mi)
% 1.82/0.61 % (6808)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2997ds/98Mi)
% 1.82/0.62 % (6807)Instruction limit reached!
% 1.82/0.62 % (6807)------------------------------
% 1.82/0.62 % (6807)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.82/0.62 % (6807)Termination reason: Unknown
% 1.82/0.62 % (6807)Termination phase: SInE selection
% 1.82/0.62
% 1.82/0.62 % (6807)Memory used [KB]: 1791
% 1.82/0.62 % (6807)Time elapsed: 0.023 s
% 1.82/0.62 % (6807)Instructions burned: 47 (million)
% 1.82/0.62 % (6807)------------------------------
% 1.82/0.62 % (6807)------------------------------
% 1.82/0.63 % (6804)Instruction limit reached!
% 1.82/0.63 % (6804)------------------------------
% 1.82/0.63 % (6804)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.82/0.63 % (6804)Termination reason: Unknown
% 1.82/0.63 % (6804)Termination phase: Saturation
% 1.82/0.63
% 1.82/0.63 % (6804)Memory used [KB]: 6652
% 1.82/0.63 % (6804)Time elapsed: 0.058 s
% 1.82/0.63 % (6804)Instructions burned: 108 (million)
% 1.82/0.63 % (6804)------------------------------
% 1.82/0.63 % (6804)------------------------------
% 1.82/0.63 % (6809)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2997ds/507Mi)
% 2.03/0.65 % (6810)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 2.03/0.65 % (6792)Instruction limit reached!
% 2.03/0.65 % (6792)------------------------------
% 2.03/0.65 % (6792)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.03/0.65 % (6792)Termination reason: Unknown
% 2.03/0.65 % (6792)Termination phase: Saturation
% 2.03/0.65
% 2.03/0.65 % (6792)Memory used [KB]: 7036
% 2.03/0.65 % (6792)Time elapsed: 0.182 s
% 2.03/0.65 % (6792)Instructions burned: 378 (million)
% 2.03/0.65 % (6792)------------------------------
% 2.03/0.65 % (6792)------------------------------
% 2.03/0.65 % (6808)Instruction limit reached!
% 2.03/0.65 % (6808)------------------------------
% 2.03/0.65 % (6808)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.03/0.65 % (6808)Termination reason: Unknown
% 2.03/0.65 % (6808)Termination phase: Saturation
% 2.03/0.65
% 2.03/0.65 % (6808)Memory used [KB]: 2174
% 2.03/0.65 % (6808)Time elapsed: 0.046 s
% 2.03/0.65 % (6808)Instructions burned: 99 (million)
% 2.03/0.65 % (6808)------------------------------
% 2.03/0.65 % (6808)------------------------------
% 2.03/0.67 % (6811)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 2.03/0.67 % (6812)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2997ds/6Mi)
% 2.03/0.67 % (6812)Instruction limit reached!
% 2.03/0.67 % (6812)------------------------------
% 2.03/0.67 % (6812)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.03/0.67 % (6812)Termination reason: Unknown
% 2.03/0.67 % (6812)Termination phase: shuffling
% 2.03/0.67
% 2.03/0.67 % (6812)Memory used [KB]: 1279
% 2.03/0.67 % (6812)Time elapsed: 0.005 s
% 2.03/0.67 % (6812)Instructions burned: 6 (million)
% 2.03/0.67 % (6812)------------------------------
% 2.03/0.67 % (6812)------------------------------
% 2.03/0.68 % (6811)Instruction limit reached!
% 2.03/0.68 % (6811)------------------------------
% 2.03/0.68 % (6811)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.03/0.68 % (6811)Termination reason: Unknown
% 2.03/0.68 % (6811)Termination phase: Property scanning
% 2.03/0.68
% 2.03/0.68 % (6811)Memory used [KB]: 1791
% 2.03/0.68 % (6811)Time elapsed: 0.020 s
% 2.03/0.68 % (6811)Instructions burned: 39 (million)
% 2.03/0.68 % (6811)------------------------------
% 2.03/0.68 % (6811)------------------------------
% 2.03/0.69 % (6813)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on theBenchmark for (2996ds/1087Mi)
% 2.03/0.70 % (6814)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2996ds/47Mi)
% 2.03/0.70 % (6813)Refutation not found, incomplete strategy
% 2.03/0.70 % (6813)------------------------------
% 2.03/0.70 % (6813)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.03/0.70 % (6813)Termination reason: Refutation not found, incomplete strategy
% 2.03/0.70
% 2.03/0.70
% 2.03/0.70 % (6813)Memory used [KB]: 6140
% 2.03/0.70 % (6813)Time elapsed: 0.016 s
% 2.03/0.70 % (6813)Instructions burned: 27 (million)
% 2.03/0.70 % (6813)------------------------------
% 2.03/0.70 % (6813)------------------------------
% 2.03/0.72 % (6815)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on theBenchmark for (2996ds/44Mi)
% 2.03/0.72 % (6810)Instruction limit reached!
% 2.03/0.72 % (6810)------------------------------
% 2.03/0.72 % (6810)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.03/0.72 % (6810)Termination reason: Unknown
% 2.03/0.72 % (6810)Termination phase: Saturation
% 2.03/0.72
% 2.03/0.72 % (6810)Memory used [KB]: 6780
% 2.03/0.72 % (6810)Time elapsed: 0.075 s
% 2.03/0.72 % (6810)Instructions burned: 149 (million)
% 2.03/0.72 % (6810)------------------------------
% 2.03/0.72 % (6810)------------------------------
% 2.03/0.72 % (6814)Instruction limit reached!
% 2.03/0.72 % (6814)------------------------------
% 2.03/0.72 % (6814)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.03/0.72 % (6814)Termination reason: Unknown
% 2.03/0.72 % (6814)Termination phase: Property scanning
% 2.03/0.72
% 2.03/0.72 % (6814)Memory used [KB]: 1791
% 2.03/0.72 % (6814)Time elapsed: 0.024 s
% 2.03/0.72 % (6814)Instructions burned: 47 (million)
% 2.03/0.72 % (6814)------------------------------
% 2.03/0.72 % (6814)------------------------------
% 2.60/0.73 % (6816)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on theBenchmark for (2996ds/432Mi)
% 2.60/0.73 % (6817)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2996ds/62Mi)
% 2.60/0.73 % (6815)Instruction limit reached!
% 2.60/0.73 % (6815)------------------------------
% 2.60/0.73 % (6815)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.60/0.73 % (6815)Termination reason: Unknown
% 2.60/0.73 % (6815)Termination phase: Property scanning
% 2.60/0.73
% 2.60/0.73 % (6815)Memory used [KB]: 1791
% 2.60/0.73 % (6815)Time elapsed: 0.021 s
% 2.60/0.73 % (6815)Instructions burned: 44 (million)
% 2.60/0.73 % (6815)------------------------------
% 2.60/0.73 % (6815)------------------------------
% 2.60/0.75 % (6818)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2996ds/31Mi)
% 2.60/0.76 % (6817)Instruction limit reached!
% 2.60/0.76 % (6817)------------------------------
% 2.60/0.76 % (6817)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.60/0.76 % (6817)Termination reason: Unknown
% 2.60/0.76 % (6817)Termination phase: Function definition elimination
% 2.60/0.76
% 2.60/0.76 % (6817)Memory used [KB]: 1791
% 2.60/0.76 % (6817)Time elapsed: 0.028 s
% 2.60/0.76 % (6817)Instructions burned: 63 (million)
% 2.60/0.76 % (6817)------------------------------
% 2.60/0.76 % (6817)------------------------------
% 2.60/0.76 % (6818)Instruction limit reached!
% 2.60/0.76 % (6818)------------------------------
% 2.60/0.76 % (6818)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.60/0.76 % (6818)Termination reason: Unknown
% 2.60/0.76 % (6818)Termination phase: Property scanning
% 2.60/0.76
% 2.60/0.76 % (6818)Memory used [KB]: 1791
% 2.60/0.76 % (6818)Time elapsed: 0.016 s
% 2.60/0.76 % (6818)Instructions burned: 32 (million)
% 2.60/0.76 % (6818)------------------------------
% 2.60/0.76 % (6818)------------------------------
% 2.60/0.77 % (6819)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2996ds/96Mi)
% 2.60/0.78 % (6820)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on theBenchmark for (2996ds/453Mi)
% 2.60/0.78 % (6806)Instruction limit reached!
% 2.60/0.78 % (6806)------------------------------
% 2.60/0.78 % (6806)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.60/0.78 % (6806)Termination reason: Unknown
% 2.60/0.78 % (6806)Termination phase: Saturation
% 2.60/0.78
% 2.60/0.78 % (6806)Memory used [KB]: 7164
% 2.60/0.78 % (6806)Time elapsed: 0.203 s
% 2.60/0.78 % (6806)Instructions burned: 448 (million)
% 2.60/0.78 % (6806)------------------------------
% 2.60/0.78 % (6806)------------------------------
% 3.09/0.80 % (6821)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2995ds/71Mi)
% 3.09/0.81 % (6819)Instruction limit reached!
% 3.09/0.81 % (6819)------------------------------
% 3.09/0.81 % (6819)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.09/0.81 % (6819)Termination reason: Unknown
% 3.09/0.81 % (6819)Termination phase: Saturation
% 3.09/0.81
% 3.09/0.81 % (6819)Memory used [KB]: 6652
% 3.09/0.81 % (6819)Time elapsed: 0.041 s
% 3.09/0.81 % (6819)Instructions burned: 96 (million)
% 3.09/0.81 % (6819)------------------------------
% 3.09/0.81 % (6819)------------------------------
% 3.09/0.83 % (6822)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2995ds/83Mi)
% 3.09/0.83 % (6821)Instruction limit reached!
% 3.09/0.83 % (6821)------------------------------
% 3.09/0.83 % (6821)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.09/0.83 % (6821)Termination reason: Unknown
% 3.09/0.83 % (6821)Termination phase: Function definition elimination
% 3.09/0.83
% 3.09/0.83 % (6821)Memory used [KB]: 1918
% 3.09/0.83 % (6821)Time elapsed: 0.032 s
% 3.09/0.83 % (6821)Instructions burned: 72 (million)
% 3.09/0.83 % (6821)------------------------------
% 3.09/0.83 % (6821)------------------------------
% 3.09/0.84 % (6793)Instruction limit reached!
% 3.09/0.84 % (6793)------------------------------
% 3.09/0.84 % (6793)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.09/0.84 % (6793)Termination reason: Unknown
% 3.09/0.84 % (6793)Termination phase: Saturation
% 3.09/0.84
% 3.09/0.84 % (6793)Memory used [KB]: 7291
% 3.09/0.84 % (6793)Time elapsed: 0.362 s
% 3.09/0.84 % (6793)Instructions burned: 781 (million)
% 3.09/0.84 % (6793)------------------------------
% 3.09/0.84 % (6793)------------------------------
% 3.09/0.84 % (6823)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2995ds/11Mi)
% 3.09/0.85 % (6823)Instruction limit reached!
% 3.09/0.85 % (6823)------------------------------
% 3.09/0.85 % (6823)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.09/0.85 % (6823)Termination reason: Unknown
% 3.09/0.85 % (6823)Termination phase: shuffling
% 3.09/0.85
% 3.09/0.85 % (6823)Memory used [KB]: 1407
% 3.09/0.85 % (6823)Time elapsed: 0.007 s
% 3.09/0.85 % (6823)Instructions burned: 12 (million)
% 3.09/0.85 % (6823)------------------------------
% 3.09/0.85 % (6823)------------------------------
% 3.09/0.85 % (6824)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on theBenchmark for (2995ds/41Mi)
% 3.39/0.86 % (6825)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2995ds/6Mi)
% 3.40/0.86 % (6825)Instruction limit reached!
% 3.40/0.86 % (6825)------------------------------
% 3.40/0.86 % (6825)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.40/0.86 % (6825)Termination reason: Unknown
% 3.40/0.86 % (6825)Termination phase: shuffling
% 3.40/0.86
% 3.40/0.86 % (6825)Memory used [KB]: 1407
% 3.40/0.86 % (6825)Time elapsed: 0.005 s
% 3.40/0.86 % (6825)Instructions burned: 7 (million)
% 3.40/0.86 % (6825)------------------------------
% 3.40/0.86 % (6825)------------------------------
% 3.40/0.86 % (6822)Instruction limit reached!
% 3.40/0.86 % (6822)------------------------------
% 3.40/0.86 % (6822)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.40/0.86 % (6822)Termination reason: Unknown
% 3.40/0.86 % (6822)Termination phase: Saturation
% 3.40/0.86
% 3.40/0.86 % (6822)Memory used [KB]: 6524
% 3.40/0.86 % (6822)Time elapsed: 0.039 s
% 3.40/0.86 % (6822)Instructions burned: 85 (million)
% 3.40/0.86 % (6822)------------------------------
% 3.40/0.86 % (6822)------------------------------
% 3.40/0.86 % (6809)Instruction limit reached!
% 3.40/0.86 % (6809)------------------------------
% 3.40/0.86 % (6809)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.40/0.86 % (6809)Termination reason: Unknown
% 3.40/0.86 % (6809)Termination phase: Saturation
% 3.40/0.86
% 3.40/0.86 % (6809)Memory used [KB]: 7675
% 3.40/0.86 % (6809)Time elapsed: 0.235 s
% 3.40/0.86 % (6809)Instructions burned: 507 (million)
% 3.40/0.86 % (6809)------------------------------
% 3.40/0.86 % (6809)------------------------------
% 3.40/0.87 % (6824)Instruction limit reached!
% 3.40/0.87 % (6824)------------------------------
% 3.40/0.87 % (6824)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.40/0.87 % (6824)Termination reason: Unknown
% 3.40/0.87 % (6824)Termination phase: Property scanning
% 3.40/0.87
% 3.40/0.87 % (6824)Memory used [KB]: 1791
% 3.40/0.87 % (6824)Time elapsed: 0.020 s
% 3.40/0.87 % (6824)Instructions burned: 43 (million)
% 3.40/0.87 % (6824)------------------------------
% 3.40/0.87 % (6824)------------------------------
% 3.40/0.88 % (6826)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2995ds/150Mi)
% 3.40/0.88 % (6827)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on theBenchmark for (2995ds/343Mi)
% 3.40/0.88 % (6828)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on theBenchmark for (2995ds/109Mi)
% 3.40/0.88 % (6829)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on theBenchmark for (2995ds/253Mi)
% 3.40/0.89 % (6788)Instruction limit reached!
% 3.40/0.89 % (6788)------------------------------
% 3.40/0.89 % (6788)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.40/0.89 % (6788)Termination reason: Unknown
% 3.40/0.89 % (6788)Termination phase: Saturation
% 3.40/0.89
% 3.40/0.89 % (6788)Memory used [KB]: 8315
% 3.40/0.89 % (6788)Time elapsed: 0.432 s
% 3.40/0.89 % (6788)Instructions burned: 903 (million)
% 3.40/0.89 % (6788)------------------------------
% 3.40/0.89 % (6788)------------------------------
% 3.40/0.90 % (6830)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2994ds/140Mi)
% 3.82/0.90 % (6777)Instruction limit reached!
% 3.82/0.90 % (6777)------------------------------
% 3.82/0.90 % (6777)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.82/0.90 % (6777)Termination reason: Unknown
% 3.82/0.90 % (6777)Termination phase: Saturation
% 3.82/0.90
% 3.82/0.90 % (6777)Memory used [KB]: 7931
% 3.82/0.90 % (6777)Time elapsed: 0.489 s
% 3.82/0.90 % (6777)Instructions burned: 1042 (million)
% 3.82/0.90 % (6777)------------------------------
% 3.82/0.90 % (6777)------------------------------
% 3.82/0.92 % (6831)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on theBenchmark for (2994ds/614Mi)
% 3.82/0.92 % (6830)Refutation not found, incomplete strategy
% 3.82/0.92 % (6830)------------------------------
% 3.82/0.92 % (6830)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.82/0.92 % (6830)Termination reason: Refutation not found, incomplete strategy
% 3.82/0.92
% 3.82/0.92
% 3.82/0.92 % (6830)Memory used [KB]: 6268
% 3.82/0.92 % (6830)Time elapsed: 0.024 s
% 3.82/0.92 % (6830)Instructions burned: 49 (million)
% 3.82/0.92 % (6830)------------------------------
% 3.82/0.92 % (6830)------------------------------
% 3.82/0.92 % (6816)Instruction limit reached!
% 3.82/0.92 % (6816)------------------------------
% 3.82/0.92 % (6816)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.82/0.92 % (6816)Termination reason: Unknown
% 3.82/0.92 % (6816)Termination phase: Saturation
% 3.82/0.92
% 3.82/0.92 % (6816)Memory used [KB]: 3198
% 3.82/0.92 % (6816)Time elapsed: 0.190 s
% 3.82/0.92 % (6816)Instructions burned: 432 (million)
% 3.82/0.92 % (6816)------------------------------
% 3.82/0.92 % (6816)------------------------------
% 3.82/0.92 % (6828)Instruction limit reached!
% 3.82/0.92 % (6828)------------------------------
% 3.82/0.92 % (6828)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.82/0.92 % (6828)Termination reason: Unknown
% 3.82/0.92 % (6828)Termination phase: Saturation
% 3.82/0.92
% 3.82/0.92 % (6828)Memory used [KB]: 6652
% 3.82/0.92 % (6828)Time elapsed: 0.048 s
% 3.82/0.92 % (6828)Instructions burned: 109 (million)
% 3.82/0.92 % (6828)------------------------------
% 3.82/0.92 % (6828)------------------------------
% 3.82/0.93 % (6832)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on theBenchmark for (2994ds/202Mi)
% 3.82/0.94 % (6833)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on theBenchmark for (2994ds/339Mi)
% 4.14/0.94 % (6834)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on theBenchmark for (2994ds/283Mi)
% 4.14/0.94 % (6826)Instruction limit reached!
% 4.14/0.94 % (6826)------------------------------
% 4.14/0.94 % (6826)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.14/0.94 % (6826)Termination reason: Unknown
% 4.14/0.94 % (6826)Termination phase: Property scanning
% 4.14/0.94
% 4.14/0.94 % (6826)Memory used [KB]: 2942
% 4.14/0.94 % (6826)Time elapsed: 0.067 s
% 4.14/0.94 % (6826)Instructions burned: 152 (million)
% 4.14/0.94 % (6826)------------------------------
% 4.14/0.94 % (6826)------------------------------
% 4.14/0.95 % (6832)Refutation not found, incomplete strategy
% 4.14/0.95 % (6832)------------------------------
% 4.14/0.95 % (6832)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.14/0.95 % (6832)Termination reason: Refutation not found, incomplete strategy
% 4.14/0.95
% 4.14/0.95
% 4.14/0.95 % (6832)Memory used [KB]: 6140
% 4.14/0.95 % (6832)Time elapsed: 0.014 s
% 4.14/0.95 % (6832)Instructions burned: 27 (million)
% 4.14/0.95 % (6832)------------------------------
% 4.14/0.95 % (6832)------------------------------
% 4.14/0.96 % (6835)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on theBenchmark for (2994ds/134Mi)
% 4.14/0.96 % (6836)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on theBenchmark for (2994ds/298Mi)
% 4.14/0.97 % (6820)Instruction limit reached!
% 4.14/0.97 % (6820)------------------------------
% 4.14/0.97 % (6820)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.14/0.97 % (6820)Termination reason: Unknown
% 4.14/0.97 % (6820)Termination phase: Saturation
% 4.14/0.97
% 4.14/0.97 % (6820)Memory used [KB]: 7291
% 4.14/0.97 % (6820)Time elapsed: 0.197 s
% 4.14/0.97 % (6820)Instructions burned: 453 (million)
% 4.14/0.97 % (6820)------------------------------
% 4.14/0.97 % (6820)------------------------------
% 4.14/0.98 % (6837)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on theBenchmark for (2994ds/192Mi)
% 4.14/1.01 % (6829)Instruction limit reached!
% 4.14/1.01 % (6829)------------------------------
% 4.14/1.01 % (6829)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.14/1.01 % (6829)Termination reason: Unknown
% 4.14/1.01 % (6829)Termination phase: Saturation
% 4.14/1.01
% 4.14/1.01 % (6829)Memory used [KB]: 7419
% 4.14/1.01 % (6829)Time elapsed: 0.133 s
% 4.14/1.01 % (6829)Instructions burned: 254 (million)
% 4.14/1.01 % (6829)------------------------------
% 4.14/1.01 % (6829)------------------------------
% 4.14/1.01 % (6835)Instruction limit reached!
% 4.14/1.01 % (6835)------------------------------
% 4.14/1.01 % (6835)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.14/1.01 % (6835)Termination reason: Unknown
% 4.14/1.01 % (6835)Termination phase: Saturation
% 4.14/1.01
% 4.14/1.01 % (6835)Memory used [KB]: 6780
% 4.14/1.01 % (6835)Time elapsed: 0.081 s
% 4.14/1.01 % (6835)Instructions burned: 135 (million)
% 4.14/1.01 % (6835)------------------------------
% 4.14/1.01 % (6835)------------------------------
% 4.14/1.02 % (6834)First to succeed.
% 4.14/1.03 % (6838)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on theBenchmark for (2993ds/258Mi)
% 4.14/1.03 % (6839)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on theBenchmark for (2993ds/90Mi)
% 4.14/1.03 % (6827)Instruction limit reached!
% 4.14/1.03 % (6827)------------------------------
% 4.14/1.03 % (6827)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.14/1.03 % (6827)Termination reason: Unknown
% 4.14/1.03 % (6827)Termination phase: Saturation
% 4.14/1.03
% 4.14/1.03 % (6827)Memory used [KB]: 6908
% 4.14/1.03 % (6827)Time elapsed: 0.153 s
% 4.14/1.03 % (6827)Instructions burned: 343 (million)
% 4.14/1.03 % (6827)------------------------------
% 4.14/1.03 % (6827)------------------------------
% 4.14/1.03 % (6834)Refutation found. Thanks to Tanya!
% 4.14/1.03 % SZS status Theorem for theBenchmark
% 4.14/1.03 % SZS output start Proof for theBenchmark
% See solution above
% 4.14/1.03 % (6834)------------------------------
% 4.14/1.03 % (6834)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.14/1.03 % (6834)Termination reason: Refutation
% 4.14/1.03
% 4.14/1.03 % (6834)Memory used [KB]: 7291
% 4.14/1.03 % (6834)Time elapsed: 0.113 s
% 4.14/1.03 % (6834)Instructions burned: 196 (million)
% 4.14/1.03 % (6834)------------------------------
% 4.14/1.03 % (6834)------------------------------
% 4.14/1.03 % (6765)Success in time 0.67 s
% 4.14/1.03 % Vampire---4.8 exiting
%------------------------------------------------------------------------------