TSTP Solution File: ALG251^3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ALG251^3 : 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 18:20:11 EDT 2024
% Result : Theorem 1.21s 0.58s
% Output : Refutation 1.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 36
% Syntax : Number of formulae : 153 ( 79 unt; 24 typ; 0 def)
% Number of atoms : 764 ( 234 equ; 0 cnn)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 1616 ( 43 ~; 80 |; 0 &;1123 @)
% ( 4 <=>; 204 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 91 ( 91 >; 0 *; 0 +; 0 <<)
% Number of symbols : 35 ( 31 usr; 20 con; 0-4 aty)
% ( 162 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 302 ( 192 ^ 109 !; 0 ?; 302 :)
% ( 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: subst ).
thf(func_def_145,type,
sK4: term ).
thf(func_def_146,type,
sK5: term ).
thf(func_def_147,type,
ph6:
!>[X0: $tType] : X0 ).
thf(f1074,plain,
$false,
inference(avatar_sat_refutation,[],[f947,f959,f1057,f1065,f1072]) ).
thf(f1072,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f1071]) ).
thf(f1071,plain,
( $false
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f1070]) ).
thf(f1070,plain,
( ( $true = $false )
| ~ spl0_10 ),
inference(backward_demodulation,[],[f577,f1069]) ).
thf(f1069,plain,
( ( ( sK2 @ sK4 )
= $false )
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1068,f531]) ).
thf(f531,plain,
! [X2: term,X1: subst] :
( ( sub @ one @ ( push @ X2 @ X1 ) )
= X2 ),
inference(equality_proxy_clausification,[],[f530]) ).
thf(f530,plain,
! [X2: term,X1: subst] :
( $true
= ( ( sub @ one @ ( push @ X2 @ X1 ) )
= X2 ) ),
inference(beta_eta_normalization,[],[f529]) ).
thf(f529,plain,
! [X2: term,X1: subst] :
( ( ^ [Y0: term] :
( ( sub @ one @ ( push @ Y0 @ X1 ) )
= Y0 )
@ X2 )
= $true ),
inference(pi_clausification,[],[f528]) ).
thf(f528,plain,
! [X1: subst] :
( $true
= ( !! @ term
@ ^ [Y0: term] :
( ( sub @ one @ ( push @ Y0 @ X1 ) )
= Y0 ) ) ),
inference(beta_eta_normalization,[],[f527]) ).
thf(f527,plain,
! [X1: subst] :
( $true
= ( ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( sub @ one @ ( push @ Y1 @ Y0 ) )
= Y1 ) )
@ X1 ) ),
inference(pi_clausification,[],[f526]) ).
thf(f526,plain,
( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( sub @ one @ ( push @ Y1 @ Y0 ) )
= Y1 ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f523]) ).
thf(f523,plain,
( ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( sub @ one @ ( push @ Y1 @ Y0 ) )
= Y1 ) ) )
=> ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub @ Y1 @ ( comp @ Y0 @ Y2 ) )
= ( sub @ ( sub @ Y1 @ Y0 ) @ 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] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y1 ) ) ) )
=> ( ( Y0 @ Y2 )
=> ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y2 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(binary_proxy_clausification,[],[f522]) ).
thf(f522,plain,
( $true
!= ( ( var @ one )
=> ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( sub @ one @ ( push @ Y1 @ Y0 ) )
= Y1 ) ) )
=> ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub @ Y1 @ ( comp @ Y0 @ Y2 ) )
= ( sub @ ( sub @ Y1 @ Y0 ) @ 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] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y1 ) ) ) )
=> ( ( Y0 @ Y2 )
=> ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y2 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f429,f461]) ).
thf(f461,plain,
( pushprop_lthm_orig
= ( ( var @ one )
=> ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( sub @ one @ ( push @ Y1 @ Y0 ) )
= Y1 ) ) )
=> ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub @ Y1 @ ( comp @ Y0 @ Y2 ) )
= ( sub @ ( sub @ Y1 @ Y0 ) @ 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] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y1 ) ) ) )
=> ( ( Y0 @ Y2 )
=> ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y2 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f394,f346,f442,f403,f370,f345,f388]) ).
thf(f388,plain,
( pushprop
= ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y1 ) ) ) )
=> ( ( Y0 @ Y2 )
=> ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y2 @ Y1 ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f305]) ).
thf(f305,plain,
( pushprop
= ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y1 ) ) ) )
=> ( ( Y0 @ Y2 )
=> ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y2 @ Y1 ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f304]) ).
thf(f304,plain,
( pushprop
= ( ! [X0: term,X1: subst,X2: term > $o] :
( ! [X3: term] :
( ( var @ X3 )
=> ( X2 @ ( sub @ X3 @ X1 ) ) )
=> ( ( X2 @ X0 )
=> ! [X4: term] :
( ( var @ X4 )
=> ( X2 @ ( sub @ X4 @ ( push @ X0 @ X1 ) ) ) ) ) ) ) ),
inference(rectify,[],[f39]) ).
thf(f39,axiom,
( pushprop
= ( ! [X0: term,X2: subst,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/benchmark/theBenchmark.p',pushprop) ).
thf(f345,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,[],[f130]) ).
thf(f130,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,[],[f129]) ).
thf(f129,plain,
! [X0: term > $o] :
( ( ( X0 @ one )
=> ( ! [X1: term] :
( ( var @ X1 )
=> ( ( X0 @ X1 )
=> ( X0 @ ( sub @ X1 @ sh ) ) ) )
=> ! [X2: term] :
( ( var @ X2 )
=> ( X0 @ X2 ) ) ) )
= ulamvarind ),
inference(rectify,[],[f15]) ).
thf(f15,axiom,
! [X5: term > $o] :
( ( ( X5 @ one )
=> ( ! [X0: term] :
( ( var @ X0 )
=> ( ( X5 @ X0 )
=> ( X5 @ ( sub @ X0 @ sh ) ) ) )
=> ! [X0: term] :
( ( var @ X0 )
=> ( X5 @ X0 ) ) ) )
= ulamvarind ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ulamvarind) ).
thf(f370,plain,
( axshiftcons
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( comp @ sh @ ( push @ Y1 @ Y0 ) )
= Y0 ) ) ) ),
inference(cnf_transformation,[],[f299]) ).
thf(f299,plain,
( axshiftcons
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( comp @ sh @ ( push @ Y1 @ Y0 ) )
= Y0 ) ) ) ),
inference(fool_elimination,[],[f298]) ).
thf(f298,plain,
! [X0: term,X1: subst] :
( ( ( comp @ sh @ ( push @ X0 @ X1 ) )
= X1 )
= axshiftcons ),
inference(rectify,[],[f7]) ).
thf(f7,axiom,
! [X0: term,X2: subst] :
( ( ( comp @ sh @ ( push @ X0 @ X2 ) )
= X2 )
= axshiftcons ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axshiftcons) ).
thf(f403,plain,
( axclos
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub @ Y1 @ ( comp @ Y0 @ Y2 ) )
= ( sub @ ( sub @ Y1 @ Y0 ) @ Y2 ) ) ) ) ) ),
inference(cnf_transformation,[],[f180]) ).
thf(f180,plain,
( axclos
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub @ Y1 @ ( comp @ Y0 @ Y2 ) )
= ( sub @ ( sub @ Y1 @ Y0 ) @ Y2 ) ) ) ) ) ),
inference(fool_elimination,[],[f179]) ).
thf(f179,plain,
! [X0: subst,X1: term,X2: subst] :
( ( ( sub @ X1 @ ( comp @ X2 @ X0 ) )
= ( sub @ ( sub @ X1 @ X2 ) @ X0 ) )
= axclos ),
inference(rectify,[],[f5]) ).
thf(f5,axiom,
! [X3: subst,X0: term,X2: subst] :
( ( ( sub @ ( sub @ X0 @ X2 ) @ X3 )
= ( sub @ X0 @ ( comp @ X2 @ X3 ) ) )
= axclos ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axclos) ).
thf(f442,plain,
( axvarcons
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( sub @ one @ ( push @ Y1 @ Y0 ) )
= Y1 ) ) ) ),
inference(cnf_transformation,[],[f154]) ).
thf(f154,plain,
( axvarcons
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( sub @ one @ ( push @ Y1 @ Y0 ) )
= Y1 ) ) ) ),
inference(fool_elimination,[],[f153]) ).
thf(f153,plain,
! [X0: term,X1: subst] :
( ( ( sub @ one @ ( push @ X0 @ X1 ) )
= X0 )
= axvarcons ),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
! [X0: term,X2: subst] :
( ( ( sub @ one @ ( push @ X0 @ X2 ) )
= X0 )
= axvarcons ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axvarcons) ).
thf(f346,plain,
( ulamvar1
= ( var @ one ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f13,axiom,
( ulamvar1
= ( var @ one ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ulamvar1) ).
thf(f394,plain,
( pushprop_lthm_orig
= ( ulamvar1
=> ( axvarcons
=> ( axclos
=> ( axshiftcons
=> ( ulamvarind
=> pushprop ) ) ) ) ) ),
inference(cnf_transformation,[],[f226]) ).
thf(f226,plain,
( pushprop_lthm_orig
= ( ulamvar1
=> ( axvarcons
=> ( axclos
=> ( axshiftcons
=> ( ulamvarind
=> pushprop ) ) ) ) ) ),
inference(fool_elimination,[],[f225]) ).
thf(f225,plain,
( ( pushprop_lthm_orig = ulamvar1 )
=> ( axvarcons
=> ( axclos
=> ( axshiftcons
=> ( ulamvarind
=> pushprop ) ) ) ) ),
inference(rectify,[],[f41]) ).
thf(f41,axiom,
( ( pushprop_lthm_orig = ulamvar1 )
=> ( axvarcons
=> ( axclos
=> ( axshiftcons
=> ( ulamvarind
=> pushprop ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pushprop_lthm_orig) ).
thf(f429,plain,
pushprop_lthm_orig != $true,
inference(cnf_transformation,[],[f330]) ).
thf(f330,plain,
pushprop_lthm_orig != $true,
inference(flattening,[],[f236]) ).
thf(f236,plain,
pushprop_lthm_orig != $true,
inference(fool_elimination,[],[f235]) ).
thf(f235,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/benchmark/theBenchmark.p',thm) ).
thf(f1068,plain,
( ( $false
= ( sK2 @ ( sub @ one @ ( push @ sK4 @ sK3 ) ) ) )
| ~ spl0_10 ),
inference(backward_demodulation,[],[f580,f943]) ).
thf(f943,plain,
( ( one = sK5 )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f941]) ).
thf(f941,plain,
( spl0_10
<=> ( one = sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
thf(f580,plain,
( ( sK2 @ ( sub @ sK5 @ ( push @ sK4 @ sK3 ) ) )
= $false ),
inference(binary_proxy_clausification,[],[f579]) ).
thf(f579,plain,
( $false
= ( ( var @ sK5 )
=> ( sK2 @ ( sub @ sK5 @ ( push @ sK4 @ sK3 ) ) ) ) ),
inference(beta_eta_normalization,[],[f578]) ).
thf(f578,plain,
( $false
= ( ^ [Y0: term] :
( ( var @ Y0 )
=> ( sK2 @ ( sub @ Y0 @ ( push @ sK4 @ sK3 ) ) ) )
@ sK5 ) ),
inference(sigma_clausification,[],[f576]) ).
thf(f576,plain,
( ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( sK2 @ ( sub @ Y0 @ ( push @ sK4 @ sK3 ) ) ) ) )
= $false ),
inference(binary_proxy_clausification,[],[f571]) ).
thf(f571,plain,
( ( ( sK2 @ sK4 )
=> ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( sK2 @ ( sub @ Y0 @ ( push @ sK4 @ sK3 ) ) ) ) ) )
= $false ),
inference(binary_proxy_clausification,[],[f570]) ).
thf(f570,plain,
( ( ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( sK2 @ ( sub @ Y0 @ sK3 ) ) ) )
=> ( ( sK2 @ sK4 )
=> ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( sK2 @ ( sub @ Y0 @ ( push @ sK4 @ sK3 ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f569]) ).
thf(f569,plain,
( ( ^ [Y0: term] :
( ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( sK2 @ ( sub @ Y1 @ sK3 ) ) ) )
=> ( ( sK2 @ Y0 )
=> ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( sK2 @ ( sub @ Y1 @ ( push @ Y0 @ sK3 ) ) ) ) ) ) )
@ sK4 )
= $false ),
inference(sigma_clausification,[],[f568]) ).
thf(f568,plain,
( ( !! @ term
@ ^ [Y0: term] :
( ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( sK2 @ ( sub @ Y1 @ sK3 ) ) ) )
=> ( ( sK2 @ Y0 )
=> ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( sK2 @ ( sub @ Y1 @ ( push @ Y0 @ sK3 ) ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f567]) ).
thf(f567,plain,
( $false
= ( ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( !! @ term
@ ^ [Y2: term] :
( ( var @ Y2 )
=> ( sK2 @ ( sub @ Y2 @ Y0 ) ) ) )
=> ( ( sK2 @ Y1 )
=> ( !! @ term
@ ^ [Y2: term] :
( ( var @ Y2 )
=> ( sK2 @ ( sub @ Y2 @ ( push @ Y1 @ Y0 ) ) ) ) ) ) ) )
@ sK3 ) ),
inference(sigma_clausification,[],[f566]) ).
thf(f566,plain,
( $false
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( !! @ term
@ ^ [Y2: term] :
( ( var @ Y2 )
=> ( sK2 @ ( sub @ Y2 @ Y0 ) ) ) )
=> ( ( sK2 @ Y1 )
=> ( !! @ term
@ ^ [Y2: term] :
( ( var @ Y2 )
=> ( sK2 @ ( sub @ Y2 @ ( push @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f565]) ).
thf(f565,plain,
( ( ^ [Y0: term > $o] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y1 ) ) ) )
=> ( ( Y0 @ Y2 )
=> ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y2 @ Y1 ) ) ) ) ) ) ) ) )
@ sK2 )
= $false ),
inference(sigma_clausification,[],[f548]) ).
thf(f548,plain,
( $false
= ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y1 ) ) ) )
=> ( ( Y0 @ Y2 )
=> ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y2 @ Y1 ) ) ) ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f541]) ).
thf(f541,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] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y1 ) ) ) )
=> ( ( Y0 @ Y2 )
=> ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y2 @ Y1 ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(binary_proxy_clausification,[],[f532]) ).
thf(f532,plain,
( ( ( !! @ 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] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y1 ) ) ) )
=> ( ( Y0 @ Y2 )
=> ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y2 @ Y1 ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(binary_proxy_clausification,[],[f525]) ).
thf(f525,plain,
( ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub @ Y1 @ ( comp @ Y0 @ Y2 ) )
= ( sub @ ( sub @ Y1 @ Y0 ) @ 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] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y1 ) ) ) )
=> ( ( Y0 @ Y2 )
=> ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y2 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(binary_proxy_clausification,[],[f523]) ).
thf(f577,plain,
( $true
= ( sK2 @ sK4 ) ),
inference(binary_proxy_clausification,[],[f571]) ).
thf(f1065,plain,
~ spl0_12,
inference(avatar_contradiction_clause,[],[f1064]) ).
thf(f1064,plain,
( $false
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f1063]) ).
thf(f1063,plain,
( ( $true = $false )
| ~ spl0_12 ),
inference(backward_demodulation,[],[f581,f1055]) ).
thf(f1055,plain,
( ( ( var @ sK5 )
= $false )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f1053]) ).
thf(f1053,plain,
( spl0_12
<=> ( ( var @ sK5 )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
thf(f581,plain,
( ( var @ sK5 )
= $true ),
inference(binary_proxy_clausification,[],[f579]) ).
thf(f1057,plain,
( spl0_12
| spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f1049,f956,f941,f1053]) ).
thf(f956,plain,
( spl0_11
<=> ( $false
= ( sK2
@ ( sub
@ ( sK1
@ ^ [Y0: term] : ( sK5 != Y0 ) )
@ sK3 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
thf(f1049,plain,
( ( one = sK5 )
| ( ( var @ sK5 )
= $false )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f1035]) ).
thf(f1035,plain,
( ( $true = $false )
| ( one = sK5 )
| ( ( var @ sK5 )
= $false )
| ~ spl0_11 ),
inference(superposition,[],[f590,f1030]) ).
thf(f1030,plain,
( ( ( var
@ ( sK1
@ ^ [Y0: term] : ( sK5 != Y0 ) ) )
= $false )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f1027]) ).
thf(f1027,plain,
( ( $true = $false )
| ( ( var
@ ( sK1
@ ^ [Y0: term] : ( sK5 != Y0 ) ) )
= $false )
| ~ spl0_11 ),
inference(superposition,[],[f958,f575]) ).
thf(f575,plain,
! [X1: term] :
( ( $true
= ( sK2 @ ( sub @ X1 @ sK3 ) ) )
| ( ( var @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[],[f574]) ).
thf(f574,plain,
! [X1: term] :
( ( ( var @ X1 )
=> ( sK2 @ ( sub @ X1 @ sK3 ) ) )
= $true ),
inference(beta_eta_normalization,[],[f573]) ).
thf(f573,plain,
! [X1: term] :
( $true
= ( ^ [Y0: term] :
( ( var @ Y0 )
=> ( sK2 @ ( sub @ Y0 @ sK3 ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f572]) ).
thf(f572,plain,
( $true
= ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( sK2 @ ( sub @ Y0 @ sK3 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f570]) ).
thf(f958,plain,
( ( $false
= ( sK2
@ ( sub
@ ( sK1
@ ^ [Y0: term] : ( sK5 != Y0 ) )
@ sK3 ) ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f956]) ).
thf(f590,plain,
! [X0: term] :
( ( $true
= ( var
@ ( sK1
@ ^ [Y0: term] : ( X0 != Y0 ) ) ) )
| ( ( var @ X0 )
= $false )
| ( one = X0 ) ),
inference(leibniz_equality_elimination,[],[f560]) ).
thf(f560,plain,
! [X2: term,X1: term > $o] :
( ( ( var @ ( sK1 @ X1 ) )
= $true )
| ( ( var @ X2 )
= $false )
| ( $true
= ( X1 @ X2 ) )
| ( ( X1 @ one )
= $false ) ),
inference(binary_proxy_clausification,[],[f559]) ).
thf(f559,plain,
! [X2: term,X1: term > $o] :
( ( ( var @ ( sK1 @ X1 ) )
= $true )
| ( ( X1 @ one )
= $false )
| ( ( ( var @ X2 )
=> ( X1 @ X2 ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f557]) ).
thf(f557,plain,
! [X2: term,X1: term > $o] :
( ( ( ( var @ ( sK1 @ X1 ) )
=> ( ( X1 @ ( sK1 @ X1 ) )
=> ( X1 @ ( sub @ ( sK1 @ X1 ) @ sh ) ) ) )
= $false )
| ( ( X1 @ one )
= $false )
| ( ( ( var @ X2 )
=> ( X1 @ X2 ) )
= $true ) ),
inference(beta_eta_normalization,[],[f556]) ).
thf(f556,plain,
! [X2: term,X1: term > $o] :
( ( ( X1 @ one )
= $false )
| ( ( ^ [Y0: term] :
( ( var @ Y0 )
=> ( ( X1 @ Y0 )
=> ( X1 @ ( sub @ Y0 @ sh ) ) ) )
@ ( sK1 @ X1 ) )
= $false )
| ( ( ( var @ X2 )
=> ( X1 @ X2 ) )
= $true ) ),
inference(sigma_clausification,[],[f555]) ).
thf(f555,plain,
! [X2: term,X1: term > $o] :
( ( ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( ( X1 @ Y0 )
=> ( X1 @ ( sub @ Y0 @ sh ) ) ) ) )
= $false )
| ( ( ( var @ X2 )
=> ( X1 @ X2 ) )
= $true )
| ( ( X1 @ one )
= $false ) ),
inference(beta_eta_normalization,[],[f554]) ).
thf(f554,plain,
! [X2: term,X1: term > $o] :
( ( ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( ( X1 @ Y0 )
=> ( X1 @ ( sub @ Y0 @ sh ) ) ) ) )
= $false )
| ( ( X1 @ one )
= $false )
| ( $true
= ( ^ [Y0: term] :
( ( var @ Y0 )
=> ( X1 @ Y0 ) )
@ X2 ) ) ),
inference(pi_clausification,[],[f553]) ).
thf(f553,plain,
! [X1: term > $o] :
( ( ( X1 @ one )
= $false )
| ( $true
= ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( X1 @ Y0 ) ) ) )
| ( ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( ( X1 @ Y0 )
=> ( X1 @ ( sub @ Y0 @ sh ) ) ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f552]) ).
thf(f552,plain,
! [X1: term > $o] :
( ( $true
= ( ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( ( X1 @ Y0 )
=> ( X1 @ ( sub @ Y0 @ sh ) ) ) ) )
=> ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( X1 @ Y0 ) ) ) ) )
| ( ( X1 @ one )
= $false ) ),
inference(binary_proxy_clausification,[],[f551]) ).
thf(f551,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,[],[f550]) ).
thf(f550,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,[],[f549]) ).
thf(f549,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,[],[f541]) ).
thf(f959,plain,
( spl0_11
| spl0_10
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f954,f938,f941,f956]) ).
thf(f938,plain,
( spl0_9
<=> ! [X0: term] :
( ( sK2 @ ( sub @ sK5 @ ( push @ X0 @ sK3 ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
thf(f954,plain,
( ( one = sK5 )
| ( $false
= ( sK2
@ ( sub
@ ( sK1
@ ^ [Y0: term] : ( sK5 != Y0 ) )
@ sK3 ) ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f953]) ).
thf(f953,plain,
( ( $true = $false )
| ( one = sK5 )
| ( $false
= ( sK2
@ ( sub
@ ( sK1
@ ^ [Y0: term] : ( sK5 != Y0 ) )
@ sK3 ) ) )
| ~ spl0_9 ),
inference(forward_demodulation,[],[f951,f581]) ).
thf(f951,plain,
( ( $false
= ( sK2
@ ( sub
@ ( sK1
@ ^ [Y0: term] : ( sK5 != Y0 ) )
@ sK3 ) ) )
| ( one = sK5 )
| ( ( var @ sK5 )
= $false )
| ~ spl0_9 ),
inference(superposition,[],[f939,f832]) ).
thf(f832,plain,
! [X2: term,X0: term,X1: subst] :
( ( ( sub @ X2 @ ( push @ X0 @ X1 ) )
= ( sub
@ ( sK1
@ ^ [Y0: term] : ( X2 != Y0 ) )
@ X1 ) )
| ( one = X2 )
| ( ( var @ X2 )
= $false ) ),
inference(superposition,[],[f751,f547]) ).
thf(f547,plain,
! [X2: term,X1: subst] :
( ( comp @ sh @ ( push @ X2 @ X1 ) )
= X1 ),
inference(equality_proxy_clausification,[],[f546]) ).
thf(f546,plain,
! [X2: term,X1: subst] :
( $true
= ( ( comp @ sh @ ( push @ X2 @ X1 ) )
= X1 ) ),
inference(beta_eta_normalization,[],[f545]) ).
thf(f545,plain,
! [X2: term,X1: subst] :
( $true
= ( ^ [Y0: term] :
( ( comp @ sh @ ( push @ Y0 @ X1 ) )
= X1 )
@ X2 ) ),
inference(pi_clausification,[],[f544]) ).
thf(f544,plain,
! [X1: subst] :
( $true
= ( !! @ term
@ ^ [Y0: term] :
( ( comp @ sh @ ( push @ Y0 @ X1 ) )
= X1 ) ) ),
inference(beta_eta_normalization,[],[f543]) ).
thf(f543,plain,
! [X1: subst] :
( $true
= ( ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( comp @ sh @ ( push @ Y1 @ Y0 ) )
= Y0 ) )
@ X1 ) ),
inference(pi_clausification,[],[f542]) ).
thf(f542,plain,
( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( comp @ sh @ ( push @ Y1 @ Y0 ) )
= Y0 ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f532]) ).
thf(f751,plain,
! [X0: term,X1: subst] :
( ( ( sub
@ ( sK1
@ ^ [Y0: term] : ( X0 != Y0 ) )
@ ( comp @ sh @ X1 ) )
= ( sub @ X0 @ X1 ) )
| ( one = X0 )
| ( ( var @ X0 )
= $false ) ),
inference(superposition,[],[f540,f720]) ).
thf(f720,plain,
! [X0: term] :
( ( ( sub
@ ( sK1
@ ^ [Y0: term] : ( X0 != Y0 ) )
@ sh )
= X0 )
| ( ( var @ X0 )
= $false )
| ( one = X0 ) ),
inference(equality_proxy_clausification,[],[f719]) ).
thf(f719,plain,
! [X0: term] :
( ( ( var @ X0 )
= $false )
| ( $true
= ( X0 = one ) )
| ( ( sub
@ ( sK1
@ ^ [Y0: term] : ( X0 != Y0 ) )
@ sh )
= X0 ) ),
inference(not_proxy_clausification,[],[f718]) ).
thf(f718,plain,
! [X0: term] :
( ( ( X0 != one )
= $false )
| ( ( var @ X0 )
= $false )
| ( ( sub
@ ( sK1
@ ^ [Y0: term] : ( X0 != Y0 ) )
@ sh )
= X0 ) ),
inference(beta_eta_normalization,[],[f703]) ).
thf(f703,plain,
! [X0: term] :
( ( $false
= ( ^ [Y0: term] : ( X0 != Y0 )
@ one ) )
| ( ( sub
@ ( sK1
@ ^ [Y0: term] : ( X0 != Y0 ) )
@ sh )
= X0 )
| ( ( var @ X0 )
= $false ) ),
inference(leibniz_equality_elimination,[],[f564]) ).
thf(f564,plain,
! [X2: term,X1: term > $o] :
( ( ( X1 @ ( sub @ ( sK1 @ X1 ) @ sh ) )
= $false )
| ( $true
= ( X1 @ X2 ) )
| ( ( X1 @ one )
= $false )
| ( ( var @ X2 )
= $false ) ),
inference(binary_proxy_clausification,[],[f561]) ).
thf(f561,plain,
! [X2: term,X1: term > $o] :
( ( ( ( var @ X2 )
=> ( X1 @ X2 ) )
= $true )
| ( ( X1 @ one )
= $false )
| ( ( X1 @ ( sub @ ( sK1 @ X1 ) @ sh ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f558]) ).
thf(f558,plain,
! [X2: term,X1: term > $o] :
( ( $false
= ( ( X1 @ ( sK1 @ X1 ) )
=> ( X1 @ ( sub @ ( sK1 @ X1 ) @ sh ) ) ) )
| ( ( X1 @ one )
= $false )
| ( ( ( var @ X2 )
=> ( X1 @ X2 ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f557]) ).
thf(f540,plain,
! [X2: term,X3: subst,X1: subst] :
( ( sub @ ( sub @ X2 @ X1 ) @ X3 )
= ( sub @ X2 @ ( comp @ X1 @ X3 ) ) ),
inference(equality_proxy_clausification,[],[f539]) ).
thf(f539,plain,
! [X2: term,X3: subst,X1: subst] :
( $true
= ( ( sub @ X2 @ ( comp @ X1 @ X3 ) )
= ( sub @ ( sub @ X2 @ X1 ) @ X3 ) ) ),
inference(beta_eta_normalization,[],[f538]) ).
thf(f538,plain,
! [X2: term,X3: subst,X1: subst] :
( $true
= ( ^ [Y0: subst] :
( ( sub @ X2 @ ( comp @ X1 @ Y0 ) )
= ( sub @ ( sub @ X2 @ X1 ) @ Y0 ) )
@ X3 ) ),
inference(pi_clausification,[],[f537]) ).
thf(f537,plain,
! [X2: term,X1: subst] :
( $true
= ( !! @ subst
@ ^ [Y0: subst] :
( ( sub @ X2 @ ( comp @ X1 @ Y0 ) )
= ( sub @ ( sub @ X2 @ X1 ) @ Y0 ) ) ) ),
inference(beta_eta_normalization,[],[f536]) ).
thf(f536,plain,
! [X2: term,X1: subst] :
( $true
= ( ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( ( sub @ Y0 @ ( comp @ X1 @ Y1 ) )
= ( sub @ ( sub @ Y0 @ X1 ) @ Y1 ) ) )
@ X2 ) ),
inference(pi_clausification,[],[f535]) ).
thf(f535,plain,
! [X1: subst] :
( ( !! @ term
@ ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( ( sub @ Y0 @ ( comp @ X1 @ Y1 ) )
= ( sub @ ( sub @ Y0 @ X1 ) @ Y1 ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f534]) ).
thf(f534,plain,
! [X1: subst] :
( $true
= ( ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub @ Y1 @ ( comp @ Y0 @ Y2 ) )
= ( sub @ ( sub @ Y1 @ Y0 ) @ Y2 ) ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f533]) ).
thf(f533,plain,
( $true
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub @ Y1 @ ( comp @ Y0 @ Y2 ) )
= ( sub @ ( sub @ Y1 @ Y0 ) @ Y2 ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f525]) ).
thf(f939,plain,
( ! [X0: term] :
( ( sK2 @ ( sub @ sK5 @ ( push @ X0 @ sK3 ) ) )
= $false )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f938]) ).
thf(f947,plain,
( spl0_10
| spl0_9 ),
inference(avatar_split_clause,[],[f946,f938,f941]) ).
thf(f946,plain,
! [X0: term] :
( ( ( sK2 @ ( sub @ sK5 @ ( push @ X0 @ sK3 ) ) )
= $false )
| ( one = sK5 ) ),
inference(trivial_inequality_removal,[],[f945]) ).
thf(f945,plain,
! [X0: term] :
( ( one = sK5 )
| ( $true = $false )
| ( ( sK2 @ ( sub @ sK5 @ ( push @ X0 @ sK3 ) ) )
= $false ) ),
inference(forward_demodulation,[],[f908,f581]) ).
thf(f908,plain,
! [X0: term] :
( ( ( var @ sK5 )
= $false )
| ( ( sK2 @ ( sub @ sK5 @ ( push @ X0 @ sK3 ) ) )
= $false )
| ( one = sK5 ) ),
inference(superposition,[],[f580,f865]) ).
thf(f865,plain,
! [X2: term,X3: term,X0: term,X1: subst] :
( ( ( sub @ X0 @ ( push @ X3 @ X1 ) )
= ( sub @ X0 @ ( push @ X2 @ X1 ) ) )
| ( ( var @ X0 )
= $false )
| ( one = X0 ) ),
inference(duplicate_literal_removal,[],[f845]) ).
thf(f845,plain,
! [X2: term,X3: term,X0: term,X1: subst] :
( ( one = X0 )
| ( ( sub @ X0 @ ( push @ X3 @ X1 ) )
= ( sub @ X0 @ ( push @ X2 @ X1 ) ) )
| ( ( var @ X0 )
= $false )
| ( ( var @ X0 )
= $false )
| ( one = X0 ) ),
inference(superposition,[],[f832,f832]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : ALG251^3 : TPTP v8.2.0. Bugfixed v5.2.0.
% 0.08/0.16 % 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
% 0.16/0.37 % Computer : n013.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Sat May 18 23:36:38 EDT 2024
% 0.16/0.38 % CPUTime :
% 0.16/0.38 This is a TH0_THM_EQU_NAR problem
% 0.16/0.38 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
% 0.23/0.39 % (14982)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.23/0.40 % (14982)Instruction limit reached!
% 0.23/0.40 % (14982)------------------------------
% 0.23/0.40 % (14982)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.40 % (14982)Termination reason: Unknown
% 0.23/0.40 % (14982)Termination phase: Property scanning
% 0.23/0.40
% 0.23/0.40 % (14982)Memory used [KB]: 1663
% 0.23/0.40 % (14982)Time elapsed: 0.007 s
% 0.23/0.40 % (14982)Instructions burned: 19 (million)
% 0.23/0.40 % (14982)------------------------------
% 0.23/0.40 % (14982)------------------------------
% 0.23/0.41 % (14980)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)
% 0.23/0.41 % (14983)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)
% 0.23/0.41 % (14980)Instruction limit reached!
% 0.23/0.41 % (14980)------------------------------
% 0.23/0.41 % (14980)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41 % (14980)Termination reason: Unknown
% 0.23/0.41 % (14980)Termination phase: shuffling
% 0.23/0.41
% 0.23/0.41 % (14980)Memory used [KB]: 1151
% 0.23/0.41 % (14980)Time elapsed: 0.003 s
% 0.23/0.41 % (14980)Instructions burned: 2 (million)
% 0.23/0.41 % (14980)------------------------------
% 0.23/0.41 % (14980)------------------------------
% 0.23/0.41 % (14983)Instruction limit reached!
% 0.23/0.41 % (14983)------------------------------
% 0.23/0.41 % (14983)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41 % (14983)Termination reason: Unknown
% 0.23/0.41 % (14983)Termination phase: shuffling
% 0.23/0.41
% 0.23/0.41 % (14983)Memory used [KB]: 1279
% 0.23/0.41 % (14983)Time elapsed: 0.003 s
% 0.23/0.41 % (14983)Instructions burned: 5 (million)
% 0.23/0.41 % (14983)------------------------------
% 0.23/0.41 % (14983)------------------------------
% 0.23/0.41 % (14978)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)
% 0.23/0.41 % (14981)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)
% 0.23/0.41 % (14984)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)
% 0.23/0.41 % (14979)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.23/0.42 % (14976)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.23/0.42 % (14977)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)
% 0.23/0.42 % (14979)Instruction limit reached!
% 0.23/0.42 % (14979)------------------------------
% 0.23/0.42 % (14979)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (14979)Termination reason: Unknown
% 0.23/0.42 % (14979)Termination phase: shuffling
% 0.23/0.42
% 0.23/0.42 % (14979)Memory used [KB]: 1279
% 0.23/0.42 % (14979)Time elapsed: 0.003 s
% 0.23/0.42 % (14979)Instructions burned: 4 (million)
% 0.23/0.42 % (14979)------------------------------
% 0.23/0.42 % (14979)------------------------------
% 0.23/0.42 % (14977)Instruction limit reached!
% 0.23/0.42 % (14977)------------------------------
% 0.23/0.42 % (14977)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (14977)Termination reason: Unknown
% 0.23/0.42 % (14977)Termination phase: shuffling
% 0.23/0.42
% 0.23/0.42 % (14977)Memory used [KB]: 1279
% 0.23/0.42 % (14977)Time elapsed: 0.004 s
% 0.23/0.42 % (14977)Instructions burned: 5 (million)
% 0.23/0.42 % (14977)------------------------------
% 0.23/0.42 % (14977)------------------------------
% 0.23/0.42 % (14985)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)
% 0.23/0.42 % (14986)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)
% 0.23/0.42 % (14978)Instruction limit reached!
% 0.23/0.42 % (14978)------------------------------
% 0.23/0.42 % (14978)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (14978)Termination reason: Unknown
% 0.23/0.42 % (14978)Termination phase: Property scanning
% 0.23/0.42
% 0.23/0.42 % (14978)Memory used [KB]: 1791
% 0.23/0.42 % (14978)Time elapsed: 0.016 s
% 0.23/0.42 % (14978)Instructions burned: 27 (million)
% 0.23/0.42 % (14978)------------------------------
% 0.23/0.42 % (14978)------------------------------
% 0.23/0.42 % (14986)Instruction limit reached!
% 0.23/0.42 % (14986)------------------------------
% 0.23/0.42 % (14986)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (14986)Termination reason: Unknown
% 0.23/0.42 % (14986)Termination phase: shuffling
% 0.23/0.42
% 0.23/0.42 % (14986)Memory used [KB]: 1279
% 0.23/0.42 % (14986)Time elapsed: 0.003 s
% 0.23/0.42 % (14986)Instructions burned: 3 (million)
% 0.23/0.42 % (14986)------------------------------
% 0.23/0.42 % (14986)------------------------------
% 0.23/0.43 % (14981)Refutation not found, incomplete strategy
% 0.23/0.43 % (14981)------------------------------
% 0.23/0.43 % (14981)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (14981)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.43
% 0.23/0.43
% 0.23/0.43 % (14981)Memory used [KB]: 6140
% 0.23/0.43 % (14981)Time elapsed: 0.017 s
% 0.23/0.43 % (14981)Instructions burned: 25 (million)
% 0.23/0.43 % (14981)------------------------------
% 0.23/0.43 % (14981)------------------------------
% 0.23/0.43 % (14985)Instruction limit reached!
% 0.23/0.43 % (14985)------------------------------
% 0.23/0.43 % (14985)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (14985)Termination reason: Unknown
% 0.23/0.43 % (14985)Termination phase: Property scanning
% 0.23/0.43
% 0.23/0.43 % (14985)Memory used [KB]: 1663
% 0.23/0.43 % (14985)Time elapsed: 0.009 s
% 0.23/0.43 % (14985)Instructions burned: 16 (million)
% 0.23/0.43 % (14985)------------------------------
% 0.23/0.43 % (14985)------------------------------
% 0.23/0.43 % (14984)Instruction limit reached!
% 0.23/0.43 % (14984)------------------------------
% 0.23/0.43 % (14984)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (14984)Termination reason: Unknown
% 0.23/0.43 % (14984)Termination phase: Property scanning
% 0.23/0.43
% 0.23/0.43 % (14984)Memory used [KB]: 1791
% 0.23/0.43 % (14984)Time elapsed: 0.017 s
% 0.23/0.43 % (14984)Instructions burned: 37 (million)
% 0.23/0.43 % (14984)------------------------------
% 0.23/0.43 % (14984)------------------------------
% 0.23/0.43 % (14988)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.23/0.43 % (14987)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)
% 0.23/0.44 % (14988)Instruction limit reached!
% 0.23/0.44 % (14988)------------------------------
% 0.23/0.44 % (14988)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (14988)Termination reason: Unknown
% 0.23/0.44 % (14988)Termination phase: shuffling
% 0.23/0.44
% 0.23/0.44 % (14988)Memory used [KB]: 1407
% 0.23/0.44 % (14988)Time elapsed: 0.006 s
% 0.23/0.44 % (14988)Instructions burned: 8 (million)
% 0.23/0.44 % (14988)------------------------------
% 0.23/0.44 % (14988)------------------------------
% 0.23/0.44 % (14989)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.23/0.44 % (14990)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)
% 0.23/0.44 % (14990)Instruction limit reached!
% 0.23/0.44 % (14990)------------------------------
% 0.23/0.44 % (14990)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (14990)Termination reason: Unknown
% 0.23/0.44 % (14990)Termination phase: shuffling
% 0.23/0.44
% 0.23/0.44 % (14990)Memory used [KB]: 1279
% 0.23/0.44 % (14990)Time elapsed: 0.003 s
% 0.23/0.44 % (14990)Instructions burned: 3 (million)
% 0.23/0.44 % (14990)------------------------------
% 0.23/0.44 % (14990)------------------------------
% 0.23/0.44 % (14992)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)
% 0.23/0.44 % (14993)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)
% 0.23/0.45 % (14993)Instruction limit reached!
% 0.23/0.45 % (14993)------------------------------
% 0.23/0.45 % (14993)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (14993)Termination reason: Unknown
% 0.23/0.45 % (14993)Termination phase: shuffling
% 0.23/0.45
% 0.23/0.45 % (14993)Memory used [KB]: 1279
% 0.23/0.45 % (14993)Time elapsed: 0.003 s
% 0.23/0.45 % (14993)Instructions burned: 3 (million)
% 0.23/0.45 % (14993)------------------------------
% 0.23/0.45 % (14993)------------------------------
% 0.23/0.45 % (14992)Instruction limit reached!
% 0.23/0.45 % (14992)------------------------------
% 0.23/0.45 % (14992)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (14992)Termination reason: Unknown
% 0.23/0.45 % (14992)Termination phase: shuffling
% 0.23/0.45
% 0.23/0.45 % (14992)Memory used [KB]: 1407
% 0.23/0.45 % (14992)Time elapsed: 0.006 s
% 0.23/0.45 % (14992)Instructions burned: 8 (million)
% 0.23/0.45 % (14992)------------------------------
% 0.23/0.45 % (14992)------------------------------
% 0.23/0.45 % (14989)Instruction limit reached!
% 0.23/0.45 % (14989)------------------------------
% 0.23/0.45 % (14989)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (14989)Termination reason: Unknown
% 0.23/0.45 % (14989)Termination phase: shuffling
% 0.23/0.45
% 0.23/0.45 % (14989)Memory used [KB]: 1535
% 0.23/0.45 % (14989)Time elapsed: 0.012 s
% 0.23/0.45 % (14989)Instructions burned: 16 (million)
% 0.23/0.45 % (14989)------------------------------
% 0.23/0.45 % (14989)------------------------------
% 0.23/0.45 % (14994)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.23/0.45 % (14994)Instruction limit reached!
% 0.23/0.45 % (14994)------------------------------
% 0.23/0.45 % (14994)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (14994)Termination reason: Unknown
% 0.23/0.45 % (14994)Termination phase: shuffling
% 0.23/0.45
% 0.23/0.45 % (14994)Memory used [KB]: 1279
% 0.23/0.45 % (14994)Time elapsed: 0.004 s
% 0.23/0.45 % (14994)Instructions burned: 4 (million)
% 0.23/0.45 % (14994)------------------------------
% 0.23/0.45 % (14994)------------------------------
% 0.23/0.46 % (14991)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)
% 0.23/0.46 % (14991)Instruction limit reached!
% 0.23/0.46 % (14991)------------------------------
% 0.23/0.46 % (14991)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (14991)Termination reason: Unknown
% 0.23/0.46 % (14991)Termination phase: shuffling
% 0.23/0.46
% 0.23/0.46 % (14991)Memory used [KB]: 1279
% 0.23/0.46 % (14991)Time elapsed: 0.003 s
% 0.23/0.46 % (14991)Instructions burned: 3 (million)
% 0.23/0.46 % (14991)------------------------------
% 0.23/0.46 % (14991)------------------------------
% 0.23/0.46 % (14995)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)
% 0.23/0.46 % (14997)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.23/0.46 % (14997)Instruction limit reached!
% 0.23/0.46 % (14997)------------------------------
% 0.23/0.46 % (14997)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (14997)Termination reason: Unknown
% 0.23/0.46 % (14997)Termination phase: shuffling
% 0.23/0.46
% 0.23/0.46 % (14997)Memory used [KB]: 1279
% 0.23/0.46 % (14997)Time elapsed: 0.005 s
% 0.23/0.46 % (14997)Instructions burned: 6 (million)
% 0.23/0.46 % (14997)------------------------------
% 0.23/0.46 % (14997)------------------------------
% 0.23/0.47 % (14995)Instruction limit reached!
% 0.23/0.47 % (14995)------------------------------
% 0.23/0.47 % (14995)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (14995)Termination reason: Unknown
% 0.23/0.47 % (14995)Termination phase: shuffling
% 0.23/0.47
% 0.23/0.47 % (14995)Memory used [KB]: 1535
% 0.23/0.47 % (14995)Time elapsed: 0.009 s
% 0.23/0.47 % (14995)Instructions burned: 18 (million)
% 0.23/0.47 % (14995)------------------------------
% 0.23/0.47 % (14995)------------------------------
% 0.23/0.47 % (14976)Instruction limit reached!
% 0.23/0.47 % (14976)------------------------------
% 0.23/0.47 % (14976)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (14976)Termination reason: Unknown
% 0.23/0.47 % (14976)Termination phase: Saturation
% 0.23/0.47
% 0.23/0.47 % (14976)Memory used [KB]: 7291
% 0.23/0.47 % (14976)Time elapsed: 0.076 s
% 0.23/0.47 % (14976)Instructions burned: 184 (million)
% 0.23/0.47 % (14976)------------------------------
% 0.23/0.47 % (14976)------------------------------
% 0.23/0.47 % (14999)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)
% 0.23/0.47 % (15000)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.23/0.47 % (14998)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)
% 0.23/0.47 % (15000)Instruction limit reached!
% 0.23/0.47 % (15000)------------------------------
% 0.23/0.47 % (15000)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (15000)Termination reason: Unknown
% 0.23/0.47 % (15000)Termination phase: shuffling
% 0.23/0.47
% 0.23/0.47 % (15000)Memory used [KB]: 1279
% 0.23/0.47 % (15000)Time elapsed: 0.004 s
% 0.23/0.47 % (15000)Instructions burned: 6 (million)
% 0.23/0.47 % (15000)------------------------------
% 0.23/0.47 % (15000)------------------------------
% 0.23/0.47 % (14996)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.23/0.48 % (15003)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)
% 0.23/0.48 % (14999)Instruction limit reached!
% 0.23/0.48 % (14999)------------------------------
% 0.23/0.48 % (14999)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48 % (14999)Termination reason: Unknown
% 0.23/0.48 % (14999)Termination phase: shuffling
% 0.23/0.48
% 0.23/0.48 % (14999)Memory used [KB]: 1663
% 0.23/0.48 % (14999)Time elapsed: 0.010 s
% 0.23/0.48 % (14999)Instructions burned: 21 (million)
% 0.23/0.48 % (14999)------------------------------
% 0.23/0.48 % (14999)------------------------------
% 0.23/0.48 % (15001)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)
% 0.23/0.48 % (15002)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.23/0.48 % (15001)Instruction limit reached!
% 0.23/0.48 % (15001)------------------------------
% 0.23/0.48 % (15001)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48 % (15001)Termination reason: Unknown
% 0.23/0.48 % (15001)Termination phase: shuffling
% 0.23/0.48
% 0.23/0.48 % (15001)Memory used [KB]: 1279
% 0.23/0.48 % (15001)Time elapsed: 0.005 s
% 0.23/0.48 % (15001)Instructions burned: 7 (million)
% 0.23/0.48 % (15001)------------------------------
% 0.23/0.48 % (15001)------------------------------
% 0.23/0.49 % (15005)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)
% 0.23/0.49 % (15004)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)
% 0.23/0.49 % (14996)Refutation not found, incomplete strategy
% 0.23/0.49 % (14996)------------------------------
% 0.23/0.49 % (14996)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49 % (14996)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.49
% 0.23/0.49
% 0.23/0.49 % (14996)Memory used [KB]: 6140
% 0.23/0.49 % (14996)Time elapsed: 0.017 s
% 0.23/0.49 % (14996)Instructions burned: 26 (million)
% 0.23/0.49 % (14996)------------------------------
% 0.23/0.49 % (14996)------------------------------
% 0.23/0.49 % (15006)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.23/0.50 % (15004)Instruction limit reached!
% 0.23/0.50 % (15004)------------------------------
% 0.23/0.50 % (15004)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.50 % (15004)Termination reason: Unknown
% 0.23/0.50 % (15004)Termination phase: shuffling
% 0.23/0.50
% 0.23/0.50 % (15004)Memory used [KB]: 1663
% 0.23/0.50 % (15004)Time elapsed: 0.010 s
% 0.23/0.50 % (15004)Instructions burned: 20 (million)
% 0.23/0.50 % (15004)------------------------------
% 0.23/0.50 % (15004)------------------------------
% 0.23/0.50 % (15006)Instruction limit reached!
% 0.23/0.50 % (15006)------------------------------
% 0.23/0.50 % (15006)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.50 % (15006)Termination reason: Unknown
% 0.23/0.50 % (15006)Termination phase: shuffling
% 0.23/0.50
% 0.23/0.50 % (15006)Memory used [KB]: 1663
% 0.23/0.50 % (15006)Time elapsed: 0.007 s
% 0.23/0.50 % (15006)Instructions burned: 20 (million)
% 0.23/0.50 % (15006)------------------------------
% 0.23/0.50 % (15006)------------------------------
% 0.23/0.50 % (15005)Refutation not found, incomplete strategy
% 0.23/0.50 % (15005)------------------------------
% 0.23/0.50 % (15005)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.50 % (15005)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.50
% 0.23/0.50
% 0.23/0.50 % (15005)Memory used [KB]: 6268
% 0.23/0.50 % (15005)Time elapsed: 0.017 s
% 0.23/0.50 % (15005)Instructions burned: 56 (million)
% 0.23/0.50 % (15005)------------------------------
% 0.23/0.50 % (15005)------------------------------
% 0.23/0.51 % (15008)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.23/0.51 % (15010)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)
% 0.23/0.51 % (15009)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)
% 0.23/0.51 % (15007)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.23/0.51 % (15008)Instruction limit reached!
% 0.23/0.51 % (15008)------------------------------
% 0.23/0.51 % (15008)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.51 % (15008)Termination reason: Unknown
% 0.23/0.51 % (15008)Termination phase: Property scanning
% 0.23/0.51
% 0.23/0.51 % (15008)Memory used [KB]: 1791
% 0.23/0.51 % (15008)Time elapsed: 0.010 s
% 0.23/0.51 % (15008)Instructions burned: 33 (million)
% 0.23/0.51 % (15008)------------------------------
% 0.23/0.51 % (15008)------------------------------
% 0.23/0.51 % (15007)Instruction limit reached!
% 0.23/0.51 % (15007)------------------------------
% 0.23/0.51 % (15007)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.51 % (15007)Termination reason: Unknown
% 0.23/0.51 % (15007)Termination phase: shuffling
% 0.23/0.51
% 0.23/0.51 % (15007)Memory used [KB]: 1279
% 0.23/0.51 % (15007)Time elapsed: 0.003 s
% 0.23/0.51 % (15007)Instructions burned: 4 (million)
% 0.23/0.51 % (15007)------------------------------
% 0.23/0.51 % (15007)------------------------------
% 1.06/0.52 % (15011)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)
% 1.06/0.52 % (15011)Instruction limit reached!
% 1.06/0.52 % (15011)------------------------------
% 1.06/0.52 % (15011)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.06/0.52 % (15011)Termination reason: Unknown
% 1.06/0.52 % (15011)Termination phase: shuffling
% 1.06/0.52
% 1.06/0.52 % (15011)Memory used [KB]: 1279
% 1.06/0.52 % (15011)Time elapsed: 0.003 s
% 1.06/0.52 % (15011)Instructions burned: 5 (million)
% 1.06/0.52 % (15011)------------------------------
% 1.06/0.52 % (15011)------------------------------
% 1.06/0.53 % (15012)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)
% 1.06/0.53 % (15013)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)
% 1.06/0.53 % (15012)Instruction limit reached!
% 1.06/0.53 % (15012)------------------------------
% 1.06/0.53 % (15012)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.06/0.53 % (15012)Termination reason: Unknown
% 1.06/0.53 % (15012)Termination phase: SInE selection
% 1.06/0.53
% 1.06/0.53 % (15012)Memory used [KB]: 1663
% 1.06/0.53 % (15012)Time elapsed: 0.009 s
% 1.06/0.53 % (15012)Instructions burned: 23 (million)
% 1.06/0.53 % (15012)------------------------------
% 1.06/0.53 % (15012)------------------------------
% 1.06/0.54 % (15010)Instruction limit reached!
% 1.06/0.54 % (15010)------------------------------
% 1.06/0.54 % (15010)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.06/0.54 % (15010)Termination reason: Unknown
% 1.06/0.54 % (15010)Termination phase: Saturation
% 1.06/0.54
% 1.06/0.54 % (15010)Memory used [KB]: 6652
% 1.06/0.54 % (15010)Time elapsed: 0.028 s
% 1.06/0.54 % (15010)Instructions burned: 100 (million)
% 1.06/0.54 % (15010)------------------------------
% 1.06/0.54 % (15010)------------------------------
% 1.21/0.54 % (15014)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)
% 1.21/0.55 % (15015)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 (2998ds/39Mi)
% 1.21/0.55 % (15013)Instruction limit reached!
% 1.21/0.55 % (15013)------------------------------
% 1.21/0.55 % (15013)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.21/0.55 % (15013)Termination reason: Unknown
% 1.21/0.55 % (15013)Termination phase: Saturation
% 1.21/0.55
% 1.21/0.55 % (15013)Memory used [KB]: 6524
% 1.21/0.55 % (15013)Time elapsed: 0.022 s
% 1.21/0.55 % (15013)Instructions burned: 88 (million)
% 1.21/0.55 % (15013)------------------------------
% 1.21/0.55 % (15013)------------------------------
% 1.21/0.56 % (15015)Instruction limit reached!
% 1.21/0.56 % (15015)------------------------------
% 1.21/0.56 % (15015)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.21/0.56 % (15015)Termination reason: Unknown
% 1.21/0.56 % (15015)Termination phase: Property scanning
% 1.21/0.56
% 1.21/0.56 % (15015)Memory used [KB]: 1791
% 1.21/0.56 % (15015)Time elapsed: 0.012 s
% 1.21/0.56 % (15015)Instructions burned: 39 (million)
% 1.21/0.56 % (15015)------------------------------
% 1.21/0.56 % (15015)------------------------------
% 1.21/0.56 % (15016)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 (2998ds/448Mi)
% 1.21/0.56 % (15009)Instruction limit reached!
% 1.21/0.56 % (15009)------------------------------
% 1.21/0.56 % (15009)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.21/0.56 % (15009)Termination reason: Unknown
% 1.21/0.56 % (15009)Termination phase: Saturation
% 1.21/0.56
% 1.21/0.56 % (15009)Memory used [KB]: 6652
% 1.21/0.56 % (15009)Time elapsed: 0.055 s
% 1.21/0.56 % (15009)Instructions burned: 127 (million)
% 1.21/0.56 % (15009)------------------------------
% 1.21/0.56 % (15009)------------------------------
% 1.21/0.57 % (15017)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 (2998ds/46Mi)
% 1.21/0.57 % (15002)First to succeed.
% 1.21/0.58 % (15002)Refutation found. Thanks to Tanya!
% 1.21/0.58 % SZS status Theorem for theBenchmark
% 1.21/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.21/0.58 % (15002)------------------------------
% 1.21/0.58 % (15002)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.21/0.58 % (15002)Termination reason: Refutation
% 1.21/0.58
% 1.21/0.58 % (15002)Memory used [KB]: 7036
% 1.21/0.58 % (15002)Time elapsed: 0.115 s
% 1.21/0.58 % (15002)Instructions burned: 202 (million)
% 1.21/0.58 % (15002)------------------------------
% 1.21/0.58 % (15002)------------------------------
% 1.21/0.58 % (14975)Success in time 0.195 s
% 1.21/0.58 % Vampire---4.8 exiting
%------------------------------------------------------------------------------