TSTP Solution File: ALG251^3 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ALG251^3 : TPTP v8.1.2. 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 : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 04:13:09 EDT 2024
% Result : Theorem 1.29s 0.56s
% Output : Refutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 36
% Syntax : Number of formulae : 155 ( 79 unt; 24 typ; 0 def)
% Number of atoms : 780 ( 240 equ; 0 cnn)
% Maximal formula atoms : 5 ( 5 avg)
% Number of connectives : 1639 ( 43 ~; 84 |; 0 &;1140 @)
% ( 4 <=>; 204 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 93 ( 93 >; 0 *; 0 +; 0 <<)
% Number of symbols : 35 ( 31 usr; 20 con; 0-4 aty)
% ( 164 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 305 ( 195 ^ 109 !; 0 ?; 305 :)
% ( 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,
sK1: ( term > $o ) > term ).
thf(func_def_143,type,
sK2: term > $o ).
thf(func_def_144,type,
sK3: term ).
thf(func_def_145,type,
sK4: subst ).
thf(func_def_146,type,
sK5: term ).
thf(func_def_147,type,
ph6:
!>[X0: $tType] : X0 ).
thf(f1048,plain,
$false,
inference(avatar_sat_refutation,[],[f983,f989,f1003,f1044,f1047]) ).
thf(f1047,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f1046]) ).
thf(f1046,plain,
( $false
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f1045]) ).
thf(f1045,plain,
( ( $true = $false )
| ~ spl0_13 ),
inference(backward_demodulation,[],[f582,f1041]) ).
thf(f1041,plain,
( ( ( var @ sK5 )
= $false )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f1039]) ).
thf(f1039,plain,
( spl0_13
<=> ( ( var @ sK5 )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
thf(f582,plain,
( $true
= ( var @ sK5 ) ),
inference(binary_proxy_clausification,[],[f580]) ).
thf(f580,plain,
( ( ( var @ sK5 )
=> ( sK2 @ ( sub @ sK5 @ ( push @ sK3 @ sK4 ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f579]) ).
thf(f579,plain,
( ( ^ [Y0: term] :
( ( var @ Y0 )
=> ( sK2 @ ( sub @ Y0 @ ( push @ sK3 @ sK4 ) ) ) )
@ sK5 )
= $false ),
inference(sigma_clausification,[],[f577]) ).
thf(f577,plain,
( ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( sK2 @ ( sub @ Y0 @ ( push @ sK3 @ sK4 ) ) ) ) )
= $false ),
inference(binary_proxy_clausification,[],[f572]) ).
thf(f572,plain,
( ( ( sK2 @ sK3 )
=> ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( sK2 @ ( sub @ Y0 @ ( push @ sK3 @ sK4 ) ) ) ) ) )
= $false ),
inference(binary_proxy_clausification,[],[f571]) ).
thf(f571,plain,
( ( ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( sK2 @ ( sub @ Y0 @ sK4 ) ) ) )
=> ( ( sK2 @ sK3 )
=> ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( sK2 @ ( sub @ Y0 @ ( push @ sK3 @ sK4 ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f570]) ).
thf(f570,plain,
( ( ^ [Y0: subst] :
( ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( sK2 @ ( sub @ Y1 @ Y0 ) ) ) )
=> ( ( sK2 @ sK3 )
=> ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( sK2 @ ( sub @ Y1 @ ( push @ sK3 @ Y0 ) ) ) ) ) ) )
@ sK4 )
= $false ),
inference(sigma_clausification,[],[f569]) ).
thf(f569,plain,
( ( !! @ subst
@ ^ [Y0: subst] :
( ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( sK2 @ ( sub @ Y1 @ Y0 ) ) ) )
=> ( ( sK2 @ sK3 )
=> ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( sK2 @ ( sub @ Y1 @ ( push @ sK3 @ Y0 ) ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f568]) ).
thf(f568,plain,
( ( ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( ( !! @ term
@ ^ [Y2: term] :
( ( var @ Y2 )
=> ( sK2 @ ( sub @ Y2 @ Y1 ) ) ) )
=> ( ( sK2 @ Y0 )
=> ( !! @ term
@ ^ [Y2: term] :
( ( var @ Y2 )
=> ( sK2 @ ( sub @ Y2 @ ( push @ Y0 @ Y1 ) ) ) ) ) ) ) )
@ sK3 )
= $false ),
inference(sigma_clausification,[],[f567]) ).
thf(f567,plain,
( ( !! @ term
@ ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( ( !! @ term
@ ^ [Y2: term] :
( ( var @ Y2 )
=> ( sK2 @ ( sub @ Y2 @ Y1 ) ) ) )
=> ( ( sK2 @ Y0 )
=> ( !! @ term
@ ^ [Y2: term] :
( ( var @ Y2 )
=> ( sK2 @ ( sub @ Y2 @ ( push @ Y0 @ Y1 ) ) ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f566]) ).
thf(f566,plain,
( ( ^ [Y0: term > $o] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) )
@ sK2 )
= $false ),
inference(sigma_clausification,[],[f547]) ).
thf(f547,plain,
( ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(binary_proxy_clausification,[],[f540]) ).
thf(f540,plain,
( ( ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( ( Y0 @ one )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( ( Y0 @ Y1 )
=> ( Y0 @ ( sub @ Y1 @ sh ) ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( Y0 @ Y1 ) ) ) ) ) )
=> ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(binary_proxy_clausification,[],[f531]) ).
thf(f531,plain,
( $false
= ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( comp @ sh @ ( push @ Y1 @ Y0 ) )
= Y0 ) ) )
=> ( ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( ( Y0 @ one )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( ( Y0 @ Y1 )
=> ( Y0 @ ( sub @ Y1 @ sh ) ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( Y0 @ Y1 ) ) ) ) ) )
=> ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f524]) ).
thf(f524,plain,
( ( ( !! @ term
@ ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub @ ( sub @ Y0 @ Y1 ) @ Y2 )
= ( sub @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
=> ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( comp @ sh @ ( push @ Y1 @ Y0 ) )
= Y0 ) ) )
=> ( ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( ( Y0 @ one )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( ( Y0 @ Y1 )
=> ( Y0 @ ( sub @ Y1 @ sh ) ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( Y0 @ Y1 ) ) ) ) ) )
=> ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(binary_proxy_clausification,[],[f522]) ).
thf(f522,plain,
( ( ( !! @ term
@ ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( ( sub @ one @ ( push @ Y0 @ Y1 ) )
= Y0 ) ) )
=> ( ( !! @ term
@ ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub @ ( sub @ Y0 @ Y1 ) @ Y2 )
= ( sub @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
=> ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( comp @ sh @ ( push @ Y1 @ Y0 ) )
= Y0 ) ) )
=> ( ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( ( Y0 @ one )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( ( Y0 @ Y1 )
=> ( Y0 @ ( sub @ Y1 @ sh ) ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( Y0 @ Y1 ) ) ) ) ) )
=> ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(binary_proxy_clausification,[],[f521]) ).
thf(f521,plain,
( $true
!= ( ( var @ one )
=> ( ( !! @ term
@ ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( ( sub @ one @ ( push @ Y0 @ Y1 ) )
= Y0 ) ) )
=> ( ( !! @ term
@ ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub @ ( sub @ Y0 @ Y1 ) @ Y2 )
= ( sub @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
=> ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( comp @ sh @ ( push @ Y1 @ Y0 ) )
= Y0 ) ) )
=> ( ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( ( Y0 @ one )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( ( Y0 @ Y1 )
=> ( Y0 @ ( sub @ Y1 @ sh ) ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( Y0 @ Y1 ) ) ) ) ) )
=> ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f408,f460]) ).
thf(f460,plain,
( pushprop_lthm_orig
= ( ( var @ one )
=> ( ( !! @ term
@ ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( ( sub @ one @ ( push @ Y0 @ Y1 ) )
= Y0 ) ) )
=> ( ( !! @ term
@ ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub @ ( sub @ Y0 @ Y1 ) @ Y2 )
= ( sub @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
=> ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( comp @ sh @ ( push @ Y1 @ Y0 ) )
= Y0 ) ) )
=> ( ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( ( Y0 @ one )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( ( Y0 @ Y1 )
=> ( Y0 @ ( sub @ Y1 @ sh ) ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( Y0 @ Y1 ) ) ) ) ) )
=> ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f349,f406,f395,f386,f426,f369,f335]) ).
thf(f335,plain,
( pushprop
= ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f187]) ).
thf(f187,plain,
( pushprop
= ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f186]) ).
thf(f186,plain,
( pushprop
= ( ! [X0: subst,X1: term,X2: term > $o] :
( ! [X3: term] :
( ( var @ X3 )
=> ( X2 @ ( sub @ X3 @ X0 ) ) )
=> ( ( X2 @ X1 )
=> ! [X4: term] :
( ( var @ X4 )
=> ( X2 @ ( sub @ X4 @ ( push @ X1 @ X0 ) ) ) ) ) ) ) ),
inference(rectify,[],[f39]) ).
thf(f39,axiom,
( pushprop
= ( ! [X2: subst,X0: term,X5: term > $o] :
( ! [X1: term] :
( ( var @ X1 )
=> ( X5 @ ( sub @ X1 @ X2 ) ) )
=> ( ( X5 @ X0 )
=> ! [X1: term] :
( ( var @ X1 )
=> ( X5 @ ( sub @ X1 @ ( push @ X0 @ X2 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.4T68j4yw5S/Vampire---4.8_4363',pushprop) ).
thf(f369,plain,
( ulamvarind
= ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( ( Y0 @ one )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( ( Y0 @ Y1 )
=> ( Y0 @ ( sub @ Y1 @ sh ) ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( Y0 @ Y1 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f122]) ).
thf(f122,plain,
( ulamvarind
= ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( ( Y0 @ one )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( ( Y0 @ Y1 )
=> ( Y0 @ ( sub @ Y1 @ sh ) ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( Y0 @ Y1 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f121]) ).
thf(f121,plain,
( ulamvarind
= ( ! [X0: term > $o] :
( ( X0 @ one )
=> ( ! [X1: term] :
( ( var @ X1 )
=> ( ( X0 @ X1 )
=> ( X0 @ ( sub @ X1 @ sh ) ) ) )
=> ! [X2: term] :
( ( var @ X2 )
=> ( X0 @ X2 ) ) ) ) ) ),
inference(rectify,[],[f15]) ).
thf(f15,axiom,
( ulamvarind
= ( ! [X5: term > $o] :
( ( X5 @ one )
=> ( ! [X0: term] :
( ( var @ X0 )
=> ( ( X5 @ X0 )
=> ( X5 @ ( sub @ X0 @ sh ) ) ) )
=> ! [X0: term] :
( ( var @ X0 )
=> ( X5 @ X0 ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.4T68j4yw5S/Vampire---4.8_4363',ulamvarind) ).
thf(f426,plain,
( axshiftcons
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( comp @ sh @ ( push @ Y1 @ Y0 ) )
= Y0 ) ) ) ),
inference(cnf_transformation,[],[f167]) ).
thf(f167,plain,
( axshiftcons
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( comp @ sh @ ( push @ Y1 @ Y0 ) )
= Y0 ) ) ) ),
inference(fool_elimination,[],[f166]) ).
thf(f166,plain,
( axshiftcons
= ( ! [X0: term,X1: subst] :
( ( comp @ sh @ ( push @ X0 @ X1 ) )
= X1 ) ) ),
inference(rectify,[],[f7]) ).
thf(f7,axiom,
( axshiftcons
= ( ! [X0: term,X2: subst] :
( ( comp @ sh @ ( push @ X0 @ X2 ) )
= X2 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.4T68j4yw5S/Vampire---4.8_4363',axshiftcons) ).
thf(f386,plain,
( axclos
= ( !! @ term
@ ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub @ ( sub @ Y0 @ Y1 ) @ Y2 )
= ( sub @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f242]) ).
thf(f242,plain,
( axclos
= ( !! @ term
@ ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub @ ( sub @ Y0 @ Y1 ) @ Y2 )
= ( sub @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f241]) ).
thf(f241,plain,
! [X0: subst,X1: subst,X2: term] :
( ( ( sub @ ( sub @ X2 @ X1 ) @ X0 )
= ( sub @ X2 @ ( comp @ X1 @ X0 ) ) )
= axclos ),
inference(rectify,[],[f5]) ).
thf(f5,axiom,
! [X3: subst,X2: subst,X0: term] :
( ( ( sub @ ( sub @ X0 @ X2 ) @ X3 )
= ( sub @ X0 @ ( comp @ X2 @ X3 ) ) )
= axclos ),
file('/export/starexec/sandbox/tmp/tmp.4T68j4yw5S/Vampire---4.8_4363',axclos) ).
thf(f395,plain,
( axvarcons
= ( !! @ term
@ ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( ( sub @ one @ ( push @ Y0 @ Y1 ) )
= Y0 ) ) ) ),
inference(cnf_transformation,[],[f318]) ).
thf(f318,plain,
( axvarcons
= ( !! @ term
@ ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( ( sub @ one @ ( push @ Y0 @ Y1 ) )
= Y0 ) ) ) ),
inference(fool_elimination,[],[f317]) ).
thf(f317,plain,
( axvarcons
= ( ! [X0: subst,X1: term] :
( ( sub @ one @ ( push @ X1 @ X0 ) )
= X1 ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
( axvarcons
= ( ! [X2: subst,X0: term] :
( ( sub @ one @ ( push @ X0 @ X2 ) )
= X0 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.4T68j4yw5S/Vampire---4.8_4363',axvarcons) ).
thf(f406,plain,
( ulamvar1
= ( var @ one ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f13,axiom,
( ulamvar1
= ( var @ one ) ),
file('/export/starexec/sandbox/tmp/tmp.4T68j4yw5S/Vampire---4.8_4363',ulamvar1) ).
thf(f349,plain,
( pushprop_lthm_orig
= ( ulamvar1
=> ( axvarcons
=> ( axclos
=> ( axshiftcons
=> ( ulamvarind
=> pushprop ) ) ) ) ) ),
inference(cnf_transformation,[],[f312]) ).
thf(f312,plain,
( pushprop_lthm_orig
= ( ulamvar1
=> ( axvarcons
=> ( axclos
=> ( axshiftcons
=> ( ulamvarind
=> pushprop ) ) ) ) ) ),
inference(fool_elimination,[],[f311]) ).
thf(f311,plain,
( ulamvar1
=> ( ( axvarcons
=> ( axclos
=> ( axshiftcons
=> ( ulamvarind
=> pushprop ) ) ) )
= pushprop_lthm_orig ) ),
inference(rectify,[],[f41]) ).
thf(f41,axiom,
( ulamvar1
=> ( ( axvarcons
=> ( axclos
=> ( axshiftcons
=> ( ulamvarind
=> pushprop ) ) ) )
= pushprop_lthm_orig ) ),
file('/export/starexec/sandbox/tmp/tmp.4T68j4yw5S/Vampire---4.8_4363',pushprop_lthm_orig) ).
thf(f408,plain,
pushprop_lthm_orig != $true,
inference(cnf_transformation,[],[f329]) ).
thf(f329,plain,
pushprop_lthm_orig != $true,
inference(flattening,[],[f279]) ).
thf(f279,plain,
pushprop_lthm_orig != $true,
inference(fool_elimination,[],[f278]) ).
thf(f278,plain,
~ pushprop_lthm_orig,
inference(rectify,[],[f115]) ).
thf(f115,negated_conjecture,
~ pushprop_lthm_orig,
inference(negated_conjecture,[],[f114]) ).
thf(f114,conjecture,
pushprop_lthm_orig,
file('/export/starexec/sandbox/tmp/tmp.4T68j4yw5S/Vampire---4.8_4363',thm) ).
thf(f1044,plain,
( spl0_9
| spl0_13
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f1018,f1000,f1039,f974]) ).
thf(f974,plain,
( spl0_9
<=> ( one = sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
thf(f1000,plain,
( spl0_11
<=> ( ( sK2
@ ( sub
@ ( sK1
@ ^ [Y0: term] : ( sK5 != Y0 ) )
@ sK4 ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
thf(f1018,plain,
( ( one = sK5 )
| ( ( var @ sK5 )
= $false )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f1016]) ).
thf(f1016,plain,
( ( $true = $false )
| ( ( var @ sK5 )
= $false )
| ( one = sK5 )
| ~ spl0_11 ),
inference(superposition,[],[f591,f1010]) ).
thf(f1010,plain,
( ( ( var
@ ( sK1
@ ^ [Y0: term] : ( sK5 != Y0 ) ) )
= $false )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f1006]) ).
thf(f1006,plain,
( ( $true = $false )
| ( ( var
@ ( sK1
@ ^ [Y0: term] : ( sK5 != Y0 ) ) )
= $false )
| ~ spl0_11 ),
inference(superposition,[],[f1002,f576]) ).
thf(f576,plain,
! [X1: term] :
( ( $true
= ( sK2 @ ( sub @ X1 @ sK4 ) ) )
| ( ( var @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[],[f575]) ).
thf(f575,plain,
! [X1: term] :
( $true
= ( ( var @ X1 )
=> ( sK2 @ ( sub @ X1 @ sK4 ) ) ) ),
inference(beta_eta_normalization,[],[f574]) ).
thf(f574,plain,
! [X1: term] :
( $true
= ( ^ [Y0: term] :
( ( var @ Y0 )
=> ( sK2 @ ( sub @ Y0 @ sK4 ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f573]) ).
thf(f573,plain,
( $true
= ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( sK2 @ ( sub @ Y0 @ sK4 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f571]) ).
thf(f1002,plain,
( ( ( sK2
@ ( sub
@ ( sK1
@ ^ [Y0: term] : ( sK5 != Y0 ) )
@ sK4 ) )
= $false )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f1000]) ).
thf(f591,plain,
! [X0: term] :
( ( $true
= ( var
@ ( sK1
@ ^ [Y0: term] : ( X0 != Y0 ) ) ) )
| ( ( var @ X0 )
= $false )
| ( one = X0 ) ),
inference(leibniz_equality_elimination,[],[f559]) ).
thf(f559,plain,
! [X2: term,X1: term > $o] :
( ( ( var @ ( sK1 @ X1 ) )
= $true )
| ( $true
= ( X1 @ X2 ) )
| ( ( var @ X2 )
= $false )
| ( ( X1 @ one )
= $false ) ),
inference(binary_proxy_clausification,[],[f558]) ).
thf(f558,plain,
! [X2: term,X1: term > $o] :
( ( ( X1 @ one )
= $false )
| ( ( var @ ( sK1 @ X1 ) )
= $true )
| ( $true
= ( ( var @ X2 )
=> ( X1 @ X2 ) ) ) ),
inference(beta_eta_normalization,[],[f557]) ).
thf(f557,plain,
! [X2: term,X1: term > $o] :
( ( ( var @ ( sK1 @ X1 ) )
= $true )
| ( ( X1 @ one )
= $false )
| ( ( ^ [Y0: term] :
( ( var @ Y0 )
=> ( X1 @ Y0 ) )
@ X2 )
= $true ) ),
inference(pi_clausification,[],[f556]) ).
thf(f556,plain,
! [X1: term > $o] :
( ( $true
= ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( X1 @ Y0 ) ) ) )
| ( ( var @ ( sK1 @ X1 ) )
= $true )
| ( ( X1 @ one )
= $false ) ),
inference(binary_proxy_clausification,[],[f554]) ).
thf(f554,plain,
! [X1: term > $o] :
( ( ( ( var @ ( sK1 @ X1 ) )
=> ( ( X1 @ ( sK1 @ X1 ) )
=> ( X1 @ ( sub @ ( sK1 @ X1 ) @ sh ) ) ) )
= $false )
| ( $true
= ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( X1 @ Y0 ) ) ) )
| ( ( X1 @ one )
= $false ) ),
inference(beta_eta_normalization,[],[f553]) ).
thf(f553,plain,
! [X1: term > $o] :
( ( $true
= ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( X1 @ Y0 ) ) ) )
| ( ( X1 @ one )
= $false )
| ( $false
= ( ^ [Y0: term] :
( ( var @ Y0 )
=> ( ( X1 @ Y0 )
=> ( X1 @ ( sub @ Y0 @ sh ) ) ) )
@ ( sK1 @ X1 ) ) ) ),
inference(sigma_clausification,[],[f552]) ).
thf(f552,plain,
! [X1: term > $o] :
( ( ( X1 @ one )
= $false )
| ( ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( ( X1 @ Y0 )
=> ( X1 @ ( sub @ Y0 @ sh ) ) ) ) )
= $false )
| ( $true
= ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( X1 @ Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f551]) ).
thf(f551,plain,
! [X1: term > $o] :
( ( ( X1 @ one )
= $false )
| ( $true
= ( ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( ( X1 @ Y0 )
=> ( X1 @ ( sub @ Y0 @ sh ) ) ) ) )
=> ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( X1 @ Y0 ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f550]) ).
thf(f550,plain,
! [X1: term > $o] :
( ( ( X1 @ one )
=> ( ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( ( X1 @ Y0 )
=> ( X1 @ ( sub @ Y0 @ sh ) ) ) ) )
=> ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( X1 @ Y0 ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f549]) ).
thf(f549,plain,
! [X1: term > $o] :
( $true
= ( ^ [Y0: term > $o] :
( ( Y0 @ one )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( ( Y0 @ Y1 )
=> ( Y0 @ ( sub @ Y1 @ sh ) ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( Y0 @ Y1 ) ) ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f548]) ).
thf(f548,plain,
( $true
= ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( ( Y0 @ one )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( ( Y0 @ Y1 )
=> ( Y0 @ ( sub @ Y1 @ sh ) ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( Y0 @ Y1 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f540]) ).
thf(f1003,plain,
( spl0_11
| spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f998,f978,f974,f1000]) ).
thf(f978,plain,
( spl0_10
<=> ! [X0: term] :
( ( sK2 @ ( sub @ sK5 @ ( push @ X0 @ sK4 ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
thf(f998,plain,
( ( ( sK2
@ ( sub
@ ( sK1
@ ^ [Y0: term] : ( sK5 != Y0 ) )
@ sK4 ) )
= $false )
| ( one = sK5 )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f997]) ).
thf(f997,plain,
( ( ( sK2
@ ( sub
@ ( sK1
@ ^ [Y0: term] : ( sK5 != Y0 ) )
@ sK4 ) )
= $false )
| ( one = sK5 )
| ( $true = $false )
| ~ spl0_10 ),
inference(forward_demodulation,[],[f995,f582]) ).
thf(f995,plain,
( ( ( sK2
@ ( sub
@ ( sK1
@ ^ [Y0: term] : ( sK5 != Y0 ) )
@ sK4 ) )
= $false )
| ( one = sK5 )
| ( ( var @ sK5 )
= $false )
| ~ spl0_10 ),
inference(superposition,[],[f979,f868]) ).
thf(f868,plain,
! [X2: term,X0: term,X1: subst] :
( ( ( sub
@ ( sK1
@ ^ [Y0: term] : ( X2 != Y0 ) )
@ X1 )
= ( sub @ X2 @ ( push @ X0 @ X1 ) ) )
| ( one = X2 )
| ( ( var @ X2 )
= $false ) ),
inference(superposition,[],[f787,f546]) ).
thf(f546,plain,
! [X2: term,X1: subst] :
( ( comp @ sh @ ( push @ X2 @ X1 ) )
= X1 ),
inference(equality_proxy_clausification,[],[f545]) ).
thf(f545,plain,
! [X2: term,X1: subst] :
( $true
= ( ( comp @ sh @ ( push @ X2 @ X1 ) )
= X1 ) ),
inference(beta_eta_normalization,[],[f544]) ).
thf(f544,plain,
! [X2: term,X1: subst] :
( ( ^ [Y0: term] :
( ( comp @ sh @ ( push @ Y0 @ X1 ) )
= X1 )
@ X2 )
= $true ),
inference(pi_clausification,[],[f543]) ).
thf(f543,plain,
! [X1: subst] :
( ( !! @ term
@ ^ [Y0: term] :
( ( comp @ sh @ ( push @ Y0 @ X1 ) )
= X1 ) )
= $true ),
inference(beta_eta_normalization,[],[f542]) ).
thf(f542,plain,
! [X1: subst] :
( ( ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( comp @ sh @ ( push @ Y1 @ Y0 ) )
= Y0 ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f541]) ).
thf(f541,plain,
( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( comp @ sh @ ( push @ Y1 @ Y0 ) )
= Y0 ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f531]) ).
thf(f787,plain,
! [X0: term,X1: subst] :
( ( ( sub @ X0 @ X1 )
= ( sub
@ ( sK1
@ ^ [Y0: term] : ( X0 != Y0 ) )
@ ( comp @ sh @ X1 ) ) )
| ( ( var @ X0 )
= $false )
| ( one = X0 ) ),
inference(superposition,[],[f539,f773]) ).
thf(f773,plain,
! [X0: term] :
( ( ( sub
@ ( sK1
@ ^ [Y0: term] : ( X0 != Y0 ) )
@ sh )
= X0 )
| ( ( var @ X0 )
= $false )
| ( one = X0 ) ),
inference(equality_proxy_clausification,[],[f772]) ).
thf(f772,plain,
! [X0: term] :
( ( ( sub
@ ( sK1
@ ^ [Y0: term] : ( X0 != Y0 ) )
@ sh )
= X0 )
| ( $true
= ( X0 = one ) )
| ( ( var @ X0 )
= $false ) ),
inference(not_proxy_clausification,[],[f771]) ).
thf(f771,plain,
! [X0: term] :
( ( ( sub
@ ( sK1
@ ^ [Y0: term] : ( X0 != Y0 ) )
@ sh )
= X0 )
| ( ( X0 != one )
= $false )
| ( ( var @ X0 )
= $false ) ),
inference(beta_eta_normalization,[],[f749]) ).
thf(f749,plain,
! [X0: term] :
( ( ( sub
@ ( sK1
@ ^ [Y0: term] : ( X0 != Y0 ) )
@ sh )
= X0 )
| ( $false
= ( ^ [Y0: term] : ( X0 != Y0 )
@ one ) )
| ( ( var @ X0 )
= $false ) ),
inference(leibniz_equality_elimination,[],[f565]) ).
thf(f565,plain,
! [X2: term,X1: term > $o] :
( ( ( X1 @ ( sub @ ( sK1 @ X1 ) @ sh ) )
= $false )
| ( ( var @ X2 )
= $false )
| ( $true
= ( X1 @ X2 ) )
| ( ( X1 @ one )
= $false ) ),
inference(binary_proxy_clausification,[],[f562]) ).
thf(f562,plain,
! [X2: term,X1: term > $o] :
( ( ( X1 @ ( sub @ ( sK1 @ X1 ) @ sh ) )
= $false )
| ( ( X1 @ one )
= $false )
| ( $true
= ( ( var @ X2 )
=> ( X1 @ X2 ) ) ) ),
inference(binary_proxy_clausification,[],[f561]) ).
thf(f561,plain,
! [X2: term,X1: term > $o] :
( ( ( X1 @ one )
= $false )
| ( ( ( X1 @ ( sK1 @ X1 ) )
=> ( X1 @ ( sub @ ( sK1 @ X1 ) @ sh ) ) )
= $false )
| ( $true
= ( ( var @ X2 )
=> ( X1 @ X2 ) ) ) ),
inference(beta_eta_normalization,[],[f560]) ).
thf(f560,plain,
! [X2: term,X1: term > $o] :
( ( ( X1 @ one )
= $false )
| ( ( ( X1 @ ( sK1 @ X1 ) )
=> ( X1 @ ( sub @ ( sK1 @ X1 ) @ sh ) ) )
= $false )
| ( ( ^ [Y0: term] :
( ( var @ Y0 )
=> ( X1 @ Y0 ) )
@ X2 )
= $true ) ),
inference(pi_clausification,[],[f555]) ).
thf(f555,plain,
! [X1: term > $o] :
( ( $true
= ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( X1 @ Y0 ) ) ) )
| ( ( X1 @ one )
= $false )
| ( ( ( X1 @ ( sK1 @ X1 ) )
=> ( X1 @ ( sub @ ( sK1 @ X1 ) @ sh ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f554]) ).
thf(f539,plain,
! [X2: subst,X3: subst,X1: term] :
( ( sub @ X1 @ ( comp @ X2 @ X3 ) )
= ( sub @ ( sub @ X1 @ X2 ) @ X3 ) ),
inference(equality_proxy_clausification,[],[f538]) ).
thf(f538,plain,
! [X2: subst,X3: subst,X1: term] :
( $true
= ( ( sub @ ( sub @ X1 @ X2 ) @ X3 )
= ( sub @ X1 @ ( comp @ X2 @ X3 ) ) ) ),
inference(beta_eta_normalization,[],[f537]) ).
thf(f537,plain,
! [X2: subst,X3: subst,X1: term] :
( ( ^ [Y0: subst] :
( ( sub @ ( sub @ X1 @ X2 ) @ Y0 )
= ( sub @ X1 @ ( comp @ X2 @ Y0 ) ) )
@ X3 )
= $true ),
inference(pi_clausification,[],[f536]) ).
thf(f536,plain,
! [X2: subst,X1: term] :
( $true
= ( !! @ subst
@ ^ [Y0: subst] :
( ( sub @ ( sub @ X1 @ X2 ) @ Y0 )
= ( sub @ X1 @ ( comp @ X2 @ Y0 ) ) ) ) ),
inference(beta_eta_normalization,[],[f535]) ).
thf(f535,plain,
! [X2: subst,X1: term] :
( ( ^ [Y0: subst] :
( !! @ subst
@ ^ [Y1: subst] :
( ( sub @ ( sub @ X1 @ Y0 ) @ Y1 )
= ( sub @ X1 @ ( comp @ Y0 @ Y1 ) ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f534]) ).
thf(f534,plain,
! [X1: term] :
( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ subst
@ ^ [Y1: subst] :
( ( sub @ ( sub @ X1 @ Y0 ) @ Y1 )
= ( sub @ X1 @ ( comp @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f533]) ).
thf(f533,plain,
! [X1: term] :
( $true
= ( ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub @ ( sub @ Y0 @ Y1 ) @ Y2 )
= ( sub @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f532]) ).
thf(f532,plain,
( ( !! @ term
@ ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub @ ( sub @ Y0 @ Y1 ) @ Y2 )
= ( sub @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f524]) ).
thf(f979,plain,
( ! [X0: term] :
( ( sK2 @ ( sub @ sK5 @ ( push @ X0 @ sK4 ) ) )
= $false )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f978]) ).
thf(f989,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f988]) ).
thf(f988,plain,
( $false
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f987]) ).
thf(f987,plain,
( ( $true = $false )
| ~ spl0_9 ),
inference(backward_demodulation,[],[f578,f986]) ).
thf(f986,plain,
( ( ( sK2 @ sK3 )
= $false )
| ~ spl0_9 ),
inference(forward_demodulation,[],[f985,f530]) ).
thf(f530,plain,
! [X2: subst,X1: term] :
( ( sub @ one @ ( push @ X1 @ X2 ) )
= X1 ),
inference(equality_proxy_clausification,[],[f529]) ).
thf(f529,plain,
! [X2: subst,X1: term] :
( ( ( sub @ one @ ( push @ X1 @ X2 ) )
= X1 )
= $true ),
inference(beta_eta_normalization,[],[f528]) ).
thf(f528,plain,
! [X2: subst,X1: term] :
( $true
= ( ^ [Y0: subst] :
( ( sub @ one @ ( push @ X1 @ Y0 ) )
= X1 )
@ X2 ) ),
inference(pi_clausification,[],[f527]) ).
thf(f527,plain,
! [X1: term] :
( ( !! @ subst
@ ^ [Y0: subst] :
( ( sub @ one @ ( push @ X1 @ Y0 ) )
= X1 ) )
= $true ),
inference(beta_eta_normalization,[],[f526]) ).
thf(f526,plain,
! [X1: term] :
( ( ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( ( sub @ one @ ( push @ Y0 @ Y1 ) )
= Y0 ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f525]) ).
thf(f525,plain,
( $true
= ( !! @ term
@ ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( ( sub @ one @ ( push @ Y0 @ Y1 ) )
= Y0 ) ) ) ),
inference(binary_proxy_clausification,[],[f522]) ).
thf(f985,plain,
( ( ( sK2 @ ( sub @ one @ ( push @ sK3 @ sK4 ) ) )
= $false )
| ~ spl0_9 ),
inference(backward_demodulation,[],[f581,f976]) ).
thf(f976,plain,
( ( one = sK5 )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f974]) ).
thf(f581,plain,
( ( sK2 @ ( sub @ sK5 @ ( push @ sK3 @ sK4 ) ) )
= $false ),
inference(binary_proxy_clausification,[],[f580]) ).
thf(f578,plain,
( $true
= ( sK2 @ sK3 ) ),
inference(binary_proxy_clausification,[],[f572]) ).
thf(f983,plain,
( spl0_10
| spl0_9 ),
inference(avatar_split_clause,[],[f982,f974,f978]) ).
thf(f982,plain,
! [X0: term] :
( ( ( sK2 @ ( sub @ sK5 @ ( push @ X0 @ sK4 ) ) )
= $false )
| ( one = sK5 ) ),
inference(trivial_inequality_removal,[],[f981]) ).
thf(f981,plain,
! [X0: term] :
( ( $true = $false )
| ( one = sK5 )
| ( ( sK2 @ ( sub @ sK5 @ ( push @ X0 @ sK4 ) ) )
= $false ) ),
inference(forward_demodulation,[],[f952,f582]) ).
thf(f952,plain,
! [X0: term] :
( ( one = sK5 )
| ( ( var @ sK5 )
= $false )
| ( ( sK2 @ ( sub @ sK5 @ ( push @ X0 @ sK4 ) ) )
= $false ) ),
inference(superposition,[],[f581,f911]) ).
thf(f911,plain,
! [X2: term,X3: term,X0: term,X1: subst] :
( ( ( sub @ X0 @ ( push @ X2 @ X1 ) )
= ( sub @ X0 @ ( push @ X3 @ X1 ) ) )
| ( one = X0 )
| ( ( var @ X0 )
= $false ) ),
inference(duplicate_literal_removal,[],[f877]) ).
thf(f877,plain,
! [X2: term,X3: term,X0: term,X1: subst] :
( ( ( var @ X0 )
= $false )
| ( one = X0 )
| ( ( sub @ X0 @ ( push @ X2 @ X1 ) )
= ( sub @ X0 @ ( push @ X3 @ X1 ) ) )
| ( one = X0 )
| ( ( var @ X0 )
= $false ) ),
inference(superposition,[],[f868,f868]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : ALG251^3 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.13/0.15 % 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
% 0.14/0.37 % Computer : n024.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Fri May 3 20:01:08 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 This is a TH0_THM_EQU_NAR problem
% 0.14/0.37 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/tmp/tmp.4T68j4yw5S/Vampire---4.8_4363
% 0.14/0.40 % (4479)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.14/0.40 % (4477)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.14/0.40 % (4474)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 Vampire---4 for (2999ds/27Mi)
% 0.14/0.40 % (4475)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.14/0.40 % (4473)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 Vampire---4 for (2999ds/4Mi)
% 0.14/0.40 % (4479)Instruction limit reached!
% 0.14/0.40 % (4479)------------------------------
% 0.14/0.40 % (4479)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (4479)Termination reason: Unknown
% 0.14/0.40 % (4479)Termination phase: shuffling
% 0.14/0.40
% 0.14/0.40 % (4479)Memory used [KB]: 1279
% 0.14/0.40 % (4479)Time elapsed: 0.003 s
% 0.14/0.40 % (4476)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.14/0.40 % (4479)Instructions burned: 4 (million)
% 0.14/0.40 % (4479)------------------------------
% 0.14/0.40 % (4479)------------------------------
% 0.14/0.40 % (4478)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.14/0.40 % (4475)Instruction limit reached!
% 0.14/0.40 % (4475)------------------------------
% 0.14/0.40 % (4475)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (4475)Termination reason: Unknown
% 0.14/0.40 % (4475)Termination phase: shuffling
% 0.14/0.40
% 0.14/0.40 % (4475)Memory used [KB]: 1279
% 0.14/0.40 % (4476)Instruction limit reached!
% 0.14/0.40 % (4476)------------------------------
% 0.14/0.40 % (4476)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (4476)Termination reason: Unknown
% 0.14/0.40 % (4476)Termination phase: shuffling
% 0.14/0.40
% 0.14/0.40 % (4476)Memory used [KB]: 1151
% 0.14/0.40 % (4476)Time elapsed: 0.002 s
% 0.14/0.40 % (4476)Instructions burned: 2 (million)
% 0.14/0.40 % (4476)------------------------------
% 0.14/0.40 % (4476)------------------------------
% 0.14/0.40 % (4475)Time elapsed: 0.003 s
% 0.14/0.40 % (4475)Instructions burned: 2 (million)
% 0.14/0.40 % (4475)------------------------------
% 0.14/0.40 % (4475)------------------------------
% 0.14/0.40 % (4473)Instruction limit reached!
% 0.14/0.40 % (4473)------------------------------
% 0.14/0.40 % (4473)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (4473)Termination reason: Unknown
% 0.14/0.40 % (4473)Termination phase: shuffling
% 0.14/0.40
% 0.14/0.40 % (4473)Memory used [KB]: 1279
% 0.14/0.40 % (4473)Time elapsed: 0.003 s
% 0.14/0.40 % (4473)Instructions burned: 4 (million)
% 0.14/0.40 % (4473)------------------------------
% 0.14/0.40 % (4473)------------------------------
% 0.14/0.40 % (4472)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.14/0.41 % (4478)Instruction limit reached!
% 0.14/0.41 % (4478)------------------------------
% 0.14/0.41 % (4478)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (4478)Termination reason: Unknown
% 0.14/0.41 % (4478)Termination phase: Property scanning
% 0.14/0.41
% 0.14/0.41 % (4478)Memory used [KB]: 1663
% 0.14/0.41 % (4478)Time elapsed: 0.011 s
% 0.14/0.41 % (4478)Instructions burned: 19 (million)
% 0.14/0.41 % (4478)------------------------------
% 0.14/0.41 % (4478)------------------------------
% 0.14/0.41 % (4474)Instruction limit reached!
% 0.14/0.41 % (4474)------------------------------
% 0.14/0.41 % (4474)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (4474)Termination reason: Unknown
% 0.14/0.41 % (4474)Termination phase: Property scanning
% 0.14/0.41
% 0.14/0.41 % (4474)Memory used [KB]: 1791
% 0.14/0.41 % (4474)Time elapsed: 0.013 s
% 0.14/0.41 % (4474)Instructions burned: 28 (million)
% 0.14/0.41 % (4474)------------------------------
% 0.14/0.41 % (4474)------------------------------
% 0.14/0.41 % (4477)Refutation not found, incomplete strategy
% 0.14/0.41 % (4477)------------------------------
% 0.14/0.41 % (4477)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (4477)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.41
% 0.14/0.41
% 0.14/0.41 % (4477)Memory used [KB]: 6140
% 0.14/0.41 % (4477)Time elapsed: 0.014 s
% 0.14/0.41 % (4477)Instructions burned: 25 (million)
% 0.14/0.41 % (4477)------------------------------
% 0.14/0.41 % (4477)------------------------------
% 0.14/0.41 % (4481)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 Vampire---4 for (2999ds/15Mi)
% 0.14/0.41 % (4482)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.14/0.42 % (4483)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 Vampire---4 for (2999ds/1041Mi)
% 0.14/0.42 % (4482)Instruction limit reached!
% 0.14/0.42 % (4482)------------------------------
% 0.14/0.42 % (4482)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42 % (4482)Termination reason: Unknown
% 0.14/0.42 % (4482)Termination phase: shuffling
% 0.14/0.42
% 0.14/0.42 % (4482)Memory used [KB]: 1279
% 0.14/0.42 % (4482)Time elapsed: 0.003 s
% 0.14/0.42 % (4482)Instructions burned: 3 (million)
% 0.14/0.42 % (4482)------------------------------
% 0.14/0.42 % (4482)------------------------------
% 0.14/0.42 % (4480)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 Vampire---4 for (2999ds/37Mi)
% 0.14/0.42 % (4481)Instruction limit reached!
% 0.14/0.42 % (4481)------------------------------
% 0.14/0.42 % (4481)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42 % (4481)Termination reason: Unknown
% 0.14/0.42 % (4481)Termination phase: Property scanning
% 0.14/0.42
% 0.14/0.42 % (4481)Memory used [KB]: 1663
% 0.14/0.42 % (4481)Time elapsed: 0.009 s
% 0.14/0.42 % (4481)Instructions burned: 15 (million)
% 0.14/0.42 % (4481)------------------------------
% 0.14/0.42 % (4481)------------------------------
% 0.14/0.42 % (4485)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.14/0.42 % (4486)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 Vampire---4 for (2999ds/3Mi)
% 0.14/0.43 % (4486)Instruction limit reached!
% 0.14/0.43 % (4486)------------------------------
% 0.14/0.43 % (4486)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.43 % (4486)Termination reason: Unknown
% 0.14/0.43 % (4486)Termination phase: shuffling
% 0.14/0.43
% 0.14/0.43 % (4486)Memory used [KB]: 1279
% 0.14/0.43 % (4486)Time elapsed: 0.003 s
% 0.14/0.43 % (4486)Instructions burned: 5 (million)
% 0.14/0.43 % (4486)------------------------------
% 0.14/0.43 % (4486)------------------------------
% 0.14/0.43 % (4484)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.14/0.43 % (4485)Instruction limit reached!
% 0.14/0.43 % (4485)------------------------------
% 0.14/0.43 % (4485)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.43 % (4485)Termination reason: Unknown
% 0.14/0.43 % (4485)Termination phase: shuffling
% 0.14/0.43
% 0.14/0.43 % (4485)Memory used [KB]: 1535
% 0.14/0.43 % (4485)Time elapsed: 0.008 s
% 0.14/0.43 % (4485)Instructions burned: 16 (million)
% 0.14/0.43 % (4485)------------------------------
% 0.14/0.43 % (4485)------------------------------
% 0.14/0.43 % (4484)Instruction limit reached!
% 0.14/0.43 % (4484)------------------------------
% 0.14/0.43 % (4484)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.43 % (4484)Termination reason: Unknown
% 0.14/0.43 % (4484)Termination phase: shuffling
% 0.14/0.43
% 0.14/0.43 % (4484)Memory used [KB]: 1407
% 0.14/0.43 % (4484)Time elapsed: 0.005 s
% 0.14/0.43 % (4484)Instructions burned: 7 (million)
% 0.14/0.43 % (4484)------------------------------
% 0.14/0.43 % (4484)------------------------------
% 0.14/0.43 % (4480)Instruction limit reached!
% 0.14/0.43 % (4480)------------------------------
% 0.14/0.43 % (4480)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.43 % (4480)Termination reason: Unknown
% 0.14/0.43 % (4480)Termination phase: Property scanning
% 0.14/0.43
% 0.14/0.43 % (4480)Memory used [KB]: 1791
% 0.14/0.43 % (4480)Time elapsed: 0.016 s
% 0.14/0.43 % (4480)Instructions burned: 38 (million)
% 0.14/0.43 % (4480)------------------------------
% 0.14/0.43 % (4480)------------------------------
% 0.14/0.44 % (4488)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.14/0.44 % (4487)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 Vampire---4 for (2999ds/3Mi)
% 0.14/0.44 % (4487)Instruction limit reached!
% 0.14/0.44 % (4487)------------------------------
% 0.14/0.44 % (4487)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.44 % (4487)Termination reason: Unknown
% 0.14/0.44 % (4487)Termination phase: shuffling
% 0.14/0.44
% 0.14/0.44 % (4487)Memory used [KB]: 1279
% 0.14/0.44 % (4487)Time elapsed: 0.004 s
% 0.14/0.44 % (4487)Instructions burned: 5 (million)
% 0.14/0.44 % (4487)------------------------------
% 0.14/0.44 % (4487)------------------------------
% 0.14/0.44 % (4488)Instruction limit reached!
% 0.14/0.44 % (4488)------------------------------
% 0.14/0.44 % (4488)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.44 % (4488)Termination reason: Unknown
% 0.14/0.44 % (4488)Termination phase: shuffling
% 0.14/0.44
% 0.14/0.44 % (4488)Memory used [KB]: 1407
% 0.14/0.44 % (4488)Time elapsed: 0.005 s
% 0.14/0.44 % (4488)Instructions burned: 8 (million)
% 0.14/0.44 % (4488)------------------------------
% 0.14/0.44 % (4488)------------------------------
% 0.14/0.44 % (4490)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.14/0.44 % (4489)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.14/0.44 % (4490)Instruction limit reached!
% 0.14/0.44 % (4490)------------------------------
% 0.14/0.44 % (4490)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.44 % (4490)Termination reason: Unknown
% 0.14/0.44 % (4490)Termination phase: shuffling
% 0.14/0.44
% 0.14/0.44 % (4490)Memory used [KB]: 1279
% 0.14/0.44 % (4490)Time elapsed: 0.003 s
% 0.14/0.44 % (4490)Instructions burned: 4 (million)
% 0.14/0.44 % (4490)------------------------------
% 0.14/0.44 % (4490)------------------------------
% 0.14/0.44 % (4491)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.14/0.44 % (4489)Instruction limit reached!
% 0.14/0.44 % (4489)------------------------------
% 0.14/0.44 % (4489)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.44 % (4489)Termination reason: Unknown
% 0.14/0.44 % (4489)Termination phase: shuffling
% 0.14/0.44
% 0.14/0.44 % (4489)Memory used [KB]: 1279
% 0.14/0.44 % (4489)Time elapsed: 0.003 s
% 0.14/0.44 % (4489)Instructions burned: 3 (million)
% 0.14/0.44 % (4489)------------------------------
% 0.14/0.44 % (4489)------------------------------
% 0.22/0.45 % (4492)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on Vampire---4 for (2999ds/710Mi)
% 0.22/0.45 % (4491)Instruction limit reached!
% 0.22/0.45 % (4491)------------------------------
% 0.22/0.45 % (4491)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (4491)Termination reason: Unknown
% 0.22/0.45 % (4491)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (4491)Memory used [KB]: 1663
% 0.22/0.45 % (4491)Time elapsed: 0.010 s
% 0.22/0.45 % (4491)Instructions burned: 19 (million)
% 0.22/0.45 % (4491)------------------------------
% 0.22/0.45 % (4491)------------------------------
% 0.22/0.45 % (4494)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 Vampire---4 for (2999ds/902Mi)
% 0.22/0.45 % (4493)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.22/0.46 % (4493)Instruction limit reached!
% 0.22/0.46 % (4493)------------------------------
% 0.22/0.46 % (4493)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (4493)Termination reason: Unknown
% 0.22/0.46 % (4493)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (4493)Memory used [KB]: 1407
% 0.22/0.46 % (4493)Time elapsed: 0.005 s
% 0.22/0.46 % (4493)Instructions burned: 8 (million)
% 0.22/0.46 % (4493)------------------------------
% 0.22/0.46 % (4493)------------------------------
% 0.22/0.46 % (4496)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.22/0.46 % (4495)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 Vampire---4 for (2999ds/21Mi)
% 0.22/0.46 % (4496)Instruction limit reached!
% 0.22/0.46 % (4496)------------------------------
% 0.22/0.46 % (4496)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (4496)Termination reason: Unknown
% 0.22/0.46 % (4496)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (4496)Memory used [KB]: 1279
% 0.22/0.46 % (4496)Time elapsed: 0.004 s
% 0.22/0.46 % (4496)Instructions burned: 6 (million)
% 0.22/0.46 % (4496)------------------------------
% 0.22/0.46 % (4496)------------------------------
% 0.22/0.46 % (4492)Refutation not found, incomplete strategy
% 0.22/0.46 % (4492)------------------------------
% 0.22/0.46 % (4492)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (4492)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.46
% 0.22/0.46
% 0.22/0.46 % (4492)Memory used [KB]: 6140
% 0.22/0.46 % (4492)Time elapsed: 0.013 s
% 0.22/0.46 % (4492)Instructions burned: 25 (million)
% 0.22/0.46 % (4492)------------------------------
% 0.22/0.46 % (4492)------------------------------
% 0.22/0.47 % (4495)Instruction limit reached!
% 0.22/0.47 % (4495)------------------------------
% 0.22/0.47 % (4495)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (4495)Termination reason: Unknown
% 0.22/0.47 % (4495)Termination phase: shuffling
% 0.22/0.47
% 0.22/0.47 % (4495)Memory used [KB]: 1663
% 0.22/0.47 % (4495)Time elapsed: 0.010 s
% 0.22/0.47 % (4495)Instructions burned: 22 (million)
% 0.22/0.47 % (4495)------------------------------
% 0.22/0.47 % (4495)------------------------------
% 0.22/0.47 % (4497)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 Vampire---4 for (2999ds/6Mi)
% 0.22/0.47 % (4499)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 Vampire---4 for (2999ds/779Mi)
% 0.22/0.47 % (4497)Instruction limit reached!
% 0.22/0.47 % (4497)------------------------------
% 0.22/0.47 % (4497)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (4497)Termination reason: Unknown
% 0.22/0.47 % (4497)Termination phase: shuffling
% 0.22/0.47
% 0.22/0.47 % (4497)Memory used [KB]: 1279
% 0.22/0.47 % (4497)Time elapsed: 0.005 s
% 0.22/0.47 % (4497)Instructions burned: 6 (million)
% 0.22/0.47 % (4497)------------------------------
% 0.22/0.47 % (4497)------------------------------
% 0.22/0.47 % (4498)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on Vampire---4 for (2999ds/377Mi)
% 0.22/0.47 % (4500)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 Vampire---4 for (2999ds/19Mi)
% 0.22/0.48 % (4472)Instruction limit reached!
% 0.22/0.48 % (4472)------------------------------
% 0.22/0.48 % (4472)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (4472)Termination reason: Unknown
% 0.22/0.48 % (4472)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (4472)Memory used [KB]: 7291
% 0.22/0.48 % (4472)Time elapsed: 0.076 s
% 0.22/0.48 % (4472)Instructions burned: 183 (million)
% 0.22/0.48 % (4472)------------------------------
% 0.22/0.48 % (4472)------------------------------
% 0.22/0.48 % (4501)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on Vampire---4 for (2999ds/879Mi)
% 0.22/0.48 % (4500)Instruction limit reached!
% 0.22/0.48 % (4500)------------------------------
% 0.22/0.48 % (4500)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (4500)Termination reason: Unknown
% 0.22/0.48 % (4500)Termination phase: shuffling
% 0.22/0.48
% 0.22/0.48 % (4500)Memory used [KB]: 1663
% 0.22/0.48 % (4500)Time elapsed: 0.010 s
% 0.22/0.48 % (4500)Instructions burned: 21 (million)
% 0.22/0.48 % (4500)------------------------------
% 0.22/0.48 % (4500)------------------------------
% 0.22/0.49 % (4503)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2998ds/3Mi)
% 0.22/0.49 % (4503)Instruction limit reached!
% 0.22/0.49 % (4503)------------------------------
% 0.22/0.49 % (4503)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (4503)Termination reason: Unknown
% 0.22/0.49 % (4503)Termination phase: shuffling
% 0.22/0.49
% 0.22/0.49 % (4503)Memory used [KB]: 1279
% 0.22/0.49 % (4503)Time elapsed: 0.003 s
% 0.22/0.49 % (4503)Instructions burned: 5 (million)
% 0.22/0.49 % (4503)------------------------------
% 0.22/0.49 % (4503)------------------------------
% 0.22/0.49 % (4502)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2999ds/17Mi)
% 0.22/0.50 % (4504)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on Vampire---4 for (2998ds/30Mi)
% 0.22/0.50 % (4505)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on Vampire---4 for (2998ds/127Mi)
% 0.22/0.50 % (4502)Instruction limit reached!
% 0.22/0.50 % (4502)------------------------------
% 0.22/0.50 % (4502)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (4502)Termination reason: Unknown
% 0.22/0.50 % (4502)Termination phase: shuffling
% 0.22/0.50
% 0.22/0.50 % (4502)Memory used [KB]: 1663
% 0.22/0.50 % (4502)Time elapsed: 0.010 s
% 0.22/0.50 % (4502)Instructions burned: 18 (million)
% 0.22/0.50 % (4502)------------------------------
% 0.22/0.50 % (4502)------------------------------
% 0.22/0.50 % (4501)Refutation not found, incomplete strategy
% 0.22/0.50 % (4501)------------------------------
% 0.22/0.50 % (4501)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (4501)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.50
% 0.22/0.50
% 0.22/0.50 % (4501)Memory used [KB]: 6268
% 0.22/0.50 % (4501)Time elapsed: 0.024 s
% 0.22/0.50 % (4501)Instructions burned: 56 (million)
% 0.22/0.50 % (4501)------------------------------
% 0.22/0.50 % (4501)------------------------------
% 0.22/0.51 % (4504)Instruction limit reached!
% 0.22/0.51 % (4504)------------------------------
% 0.22/0.51 % (4504)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.51 % (4504)Termination reason: Unknown
% 0.22/0.51 % (4504)Termination phase: Property scanning
% 0.22/0.51
% 0.22/0.51 % (4504)Memory used [KB]: 1791
% 0.22/0.51 % (4504)Time elapsed: 0.014 s
% 0.22/0.51 % (4504)Instructions burned: 32 (million)
% 0.22/0.51 % (4504)------------------------------
% 0.22/0.51 % (4504)------------------------------
% 0.22/0.51 % (4506)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on Vampire---4 for (2998ds/100Mi)
% 0.22/0.52 % (4507)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 Vampire---4 for (2998ds/3Mi)
% 0.22/0.52 % (4507)Instruction limit reached!
% 0.22/0.52 % (4507)------------------------------
% 0.22/0.52 % (4507)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52 % (4507)Termination reason: Unknown
% 0.22/0.52 % (4507)Termination phase: shuffling
% 0.22/0.52
% 0.22/0.52 % (4507)Memory used [KB]: 1279
% 0.22/0.52 % (4507)Time elapsed: 0.003 s
% 0.22/0.52 % (4507)Instructions burned: 3 (million)
% 0.22/0.52 % (4507)------------------------------
% 0.22/0.52 % (4507)------------------------------
% 0.22/0.52 % (4508)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 Vampire---4 for (2998ds/20Mi)
% 0.22/0.53 % (4508)Instruction limit reached!
% 0.22/0.53 % (4508)------------------------------
% 0.22/0.53 % (4508)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.53 % (4508)Termination reason: Unknown
% 0.22/0.53 % (4508)Termination phase: Property scanning
% 0.22/0.53
% 0.22/0.53 % (4508)Memory used [KB]: 1663
% 0.22/0.53 % (4508)Time elapsed: 0.010 s
% 0.22/0.53 % (4508)Instructions burned: 20 (million)
% 0.22/0.53 % (4508)------------------------------
% 0.22/0.53 % (4508)------------------------------
% 0.22/0.54 % (4509)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 Vampire---4 for (2998ds/86Mi)
% 1.29/0.54 % (4510)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 Vampire---4 for (2998ds/107Mi)
% 1.29/0.55 % (4505)Instruction limit reached!
% 1.29/0.55 % (4505)------------------------------
% 1.29/0.55 % (4505)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.29/0.55 % (4505)Termination reason: Unknown
% 1.29/0.55 % (4505)Termination phase: Saturation
% 1.29/0.55
% 1.29/0.55 % (4505)Memory used [KB]: 6652
% 1.29/0.55 % (4505)Time elapsed: 0.040 s
% 1.29/0.55 % (4505)Instructions burned: 128 (million)
% 1.29/0.55 % (4505)------------------------------
% 1.29/0.55 % (4505)------------------------------
% 1.29/0.55 % (4498)First to succeed.
% 1.29/0.56 % (4506)Instruction limit reached!
% 1.29/0.56 % (4506)------------------------------
% 1.29/0.56 % (4506)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.29/0.56 % (4506)Termination reason: Unknown
% 1.29/0.56 % (4506)Termination phase: Saturation
% 1.29/0.56
% 1.29/0.56 % (4506)Memory used [KB]: 6652
% 1.29/0.56 % (4506)Time elapsed: 0.044 s
% 1.29/0.56 % (4506)Instructions burned: 101 (million)
% 1.29/0.56 % (4506)------------------------------
% 1.29/0.56 % (4506)------------------------------
% 1.29/0.56 % (4511)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 Vampire---4 for (2998ds/39Mi)
% 1.29/0.56 % (4498)Refutation found. Thanks to Tanya!
% 1.29/0.56 % SZS status Theorem for Vampire---4
% 1.29/0.56 % SZS output start Proof for Vampire---4
% See solution above
% 1.44/0.56 % (4498)------------------------------
% 1.44/0.56 % (4498)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.44/0.56 % (4498)Termination reason: Refutation
% 1.44/0.56
% 1.44/0.56 % (4498)Memory used [KB]: 7036
% 1.44/0.56 % (4498)Time elapsed: 0.109 s
% 1.44/0.56 % (4498)Instructions burned: 178 (million)
% 1.44/0.56 % (4498)------------------------------
% 1.44/0.56 % (4498)------------------------------
% 1.44/0.56 % (4471)Success in time 0.184 s
% 1.44/0.56 % Vampire---4.8 exiting
%------------------------------------------------------------------------------