TSTP Solution File: ALG249^3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ALG249^3 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n002.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 18:19:59 EDT 2024
% Result : Theorem 0.20s 0.43s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 29
% Syntax : Number of formulae : 101 ( 70 unt; 23 typ; 0 def)
% Number of atoms : 465 ( 126 equ; 0 cnn)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 1133 ( 7 ~; 6 |; 0 &; 862 @)
% ( 2 <=>; 119 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 103 ( 103 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 23 usr; 13 con; 0-4 aty)
% ( 137 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 234 ( 177 ^ 57 !; 0 ?; 234 :)
% 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_143,type,
sK1: subst ).
thf(func_def_144,type,
sK2: term > $o ).
thf(func_def_145,type,
sK3: term ).
thf(func_def_146,type,
sK4: term > $o ).
thf(func_def_147,type,
sK5: term ).
thf(f603,plain,
$false,
inference(trivial_inequality_removal,[],[f601]) ).
thf(f601,plain,
$true = $false,
inference(superposition,[],[f600,f562]) ).
thf(f562,plain,
( $true
= ( var @ sK5 ) ),
inference(binary_proxy_clausification,[],[f560]) ).
thf(f560,plain,
( $false
= ( ( var @ sK5 )
=> ( ( sK2 @ sK5 )
=> ( sK2 @ ( sub @ sK5 @ sh ) ) ) ) ),
inference(beta_eta_normalization,[],[f559]) ).
thf(f559,plain,
( $false
= ( ^ [Y0: term] :
( ( var @ Y0 )
=> ( ( sK2 @ Y0 )
=> ( sK2 @ ( sub @ Y0 @ sh ) ) ) )
@ sK5 ) ),
inference(sigma_clausification,[],[f554]) ).
thf(f554,plain,
( ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( ( sK2 @ Y0 )
=> ( sK2 @ ( sub @ Y0 @ sh ) ) ) ) )
= $false ),
inference(binary_proxy_clausification,[],[f547]) ).
thf(f547,plain,
( $false
= ( ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( sK4 @ ( sub @ Y0 @ sK1 ) ) ) )
=> ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( ( sK2 @ Y0 )
=> ( sK2 @ ( sub @ Y0 @ sh ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f546]) ).
thf(f546,plain,
( $false
= ( ( !! @ term
@ ^ [Y0: term] :
( ( sK2 @ Y0 )
= ( sK4 @ ( sub @ Y0 @ ( push @ sK3 @ sK1 ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( sK4 @ ( sub @ Y0 @ sK1 ) ) ) )
=> ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( ( sK2 @ Y0 )
=> ( sK2 @ ( sub @ Y0 @ sh ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f545]) ).
thf(f545,plain,
( $false
= ( ^ [Y0: term > $o] :
( ( !! @ term
@ ^ [Y1: term] :
( ( sK2 @ Y1 )
= ( Y0 @ ( sub @ Y1 @ ( push @ sK3 @ sK1 ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( Y0 @ ( sub @ Y1 @ sK1 ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( ( sK2 @ Y1 )
=> ( sK2 @ ( sub @ Y1 @ sh ) ) ) ) ) ) )
@ sK4 ) ),
inference(sigma_clausification,[],[f544]) ).
thf(f544,plain,
( ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( ( !! @ term
@ ^ [Y1: term] :
( ( sK2 @ Y1 )
= ( Y0 @ ( sub @ Y1 @ ( push @ sK3 @ sK1 ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( Y0 @ ( sub @ Y1 @ sK1 ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( ( sK2 @ Y1 )
=> ( sK2 @ ( sub @ Y1 @ sh ) ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f543]) ).
thf(f543,plain,
( ( ^ [Y0: term] :
( !! @ ( term > $o )
@ ^ [Y1: term > $o] :
( ( !! @ term
@ ^ [Y2: term] :
( ( sK2 @ Y2 )
= ( Y1 @ ( sub @ Y2 @ ( push @ Y0 @ sK1 ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y2: term] :
( ( var @ Y2 )
=> ( Y1 @ ( sub @ Y2 @ sK1 ) ) ) )
=> ( !! @ term
@ ^ [Y2: term] :
( ( var @ Y2 )
=> ( ( sK2 @ Y2 )
=> ( sK2 @ ( sub @ Y2 @ sh ) ) ) ) ) ) ) )
@ sK3 )
= $false ),
inference(sigma_clausification,[],[f542]) ).
thf(f542,plain,
( ( !! @ term
@ ^ [Y0: term] :
( !! @ ( term > $o )
@ ^ [Y1: term > $o] :
( ( !! @ term
@ ^ [Y2: term] :
( ( sK2 @ Y2 )
= ( Y1 @ ( sub @ Y2 @ ( push @ Y0 @ sK1 ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y2: term] :
( ( var @ Y2 )
=> ( Y1 @ ( sub @ Y2 @ sK1 ) ) ) )
=> ( !! @ term
@ ^ [Y2: term] :
( ( var @ Y2 )
=> ( ( sK2 @ Y2 )
=> ( sK2 @ ( sub @ Y2 @ sh ) ) ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f541]) ).
thf(f541,plain,
( ( ^ [Y0: term > $o] :
( !! @ term
@ ^ [Y1: term] :
( !! @ ( term > $o )
@ ^ [Y2: term > $o] :
( ( !! @ term
@ ^ [Y3: term] :
( ( Y0 @ Y3 )
= ( Y2 @ ( sub @ Y3 @ ( push @ Y1 @ sK1 ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y2 @ ( sub @ Y3 @ sK1 ) ) ) )
=> ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( ( Y0 @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ sh ) ) ) ) ) ) ) ) )
@ sK2 )
= $false ),
inference(sigma_clausification,[],[f540]) ).
thf(f540,plain,
( ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( !! @ term
@ ^ [Y1: term] :
( !! @ ( term > $o )
@ ^ [Y2: term > $o] :
( ( !! @ term
@ ^ [Y3: term] :
( ( Y0 @ Y3 )
= ( Y2 @ ( sub @ Y3 @ ( push @ Y1 @ sK1 ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y2 @ ( sub @ Y3 @ sK1 ) ) ) )
=> ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( ( Y0 @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ sh ) ) ) ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f539]) ).
thf(f539,plain,
( ( ^ [Y0: subst] :
( !! @ ( term > $o )
@ ^ [Y1: term > $o] :
( !! @ term
@ ^ [Y2: term] :
( !! @ ( term > $o )
@ ^ [Y3: term > $o] :
( ( !! @ term
@ ^ [Y4: term] :
( ( Y1 @ Y4 )
= ( Y3 @ ( sub @ Y4 @ ( push @ Y2 @ Y0 ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y4: term] :
( ( var @ Y4 )
=> ( Y3 @ ( sub @ Y4 @ Y0 ) ) ) )
=> ( !! @ term
@ ^ [Y4: term] :
( ( var @ Y4 )
=> ( ( Y1 @ Y4 )
=> ( Y1 @ ( sub @ Y4 @ sh ) ) ) ) ) ) ) ) ) )
@ sK1 )
= $false ),
inference(sigma_clausification,[],[f532]) ).
thf(f532,plain,
( $false
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ ( term > $o )
@ ^ [Y1: term > $o] :
( !! @ term
@ ^ [Y2: term] :
( !! @ ( term > $o )
@ ^ [Y3: term > $o] :
( ( !! @ term
@ ^ [Y4: term] :
( ( Y1 @ Y4 )
= ( Y3 @ ( sub @ Y4 @ ( push @ Y2 @ Y0 ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y4: term] :
( ( var @ Y4 )
=> ( Y3 @ ( sub @ Y4 @ Y0 ) ) ) )
=> ( !! @ term
@ ^ [Y4: term] :
( ( var @ Y4 )
=> ( ( Y1 @ Y4 )
=> ( Y1 @ ( sub @ Y4 @ sh ) ) ) ) ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f523]) ).
thf(f523,plain,
( $false
= ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( comp @ sh @ ( push @ Y1 @ Y0 ) )
= Y0 ) ) )
=> ( !! @ subst
@ ^ [Y0: subst] :
( !! @ ( term > $o )
@ ^ [Y1: term > $o] :
( !! @ term
@ ^ [Y2: term] :
( !! @ ( term > $o )
@ ^ [Y3: term > $o] :
( ( !! @ term
@ ^ [Y4: term] :
( ( Y1 @ Y4 )
= ( Y3 @ ( sub @ Y4 @ ( push @ Y2 @ Y0 ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y4: term] :
( ( var @ Y4 )
=> ( Y3 @ ( sub @ Y4 @ Y0 ) ) ) )
=> ( !! @ term
@ ^ [Y4: term] :
( ( var @ Y4 )
=> ( ( Y1 @ Y4 )
=> ( Y1 @ ( sub @ Y4 @ sh ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f522]) ).
thf(f522,plain,
( $true
!= ( ( !! @ 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 ) ) )
=> ( !! @ subst
@ ^ [Y0: subst] :
( !! @ ( term > $o )
@ ^ [Y1: term > $o] :
( !! @ term
@ ^ [Y2: term] :
( !! @ ( term > $o )
@ ^ [Y3: term > $o] :
( ( !! @ term
@ ^ [Y4: term] :
( ( Y1 @ Y4 )
= ( Y3 @ ( sub @ Y4 @ ( push @ Y2 @ Y0 ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y4: term] :
( ( var @ Y4 )
=> ( Y3 @ ( sub @ Y4 @ Y0 ) ) ) )
=> ( !! @ term
@ ^ [Y4: term] :
( ( var @ Y4 )
=> ( ( Y1 @ Y4 )
=> ( Y1 @ ( sub @ Y4 @ sh ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f521]) ).
thf(f521,plain,
( $true
!= ( ( !! @ 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 ) ) )
=> ( !! @ subst
@ ^ [Y0: subst] :
( !! @ ( term > $o )
@ ^ [Y1: term > $o] :
( !! @ term
@ ^ [Y2: term] :
( !! @ ( term > $o )
@ ^ [Y3: term > $o] :
( ( ^ [Y4: term,Y5: subst,Y6: term > $o,Y7: term > $o] :
( !! @ term
@ ^ [Y8: term] :
( ( Y7 @ Y8 )
= ( Y6 @ ( sub @ Y8 @ ( push @ Y4 @ Y5 ) ) ) ) )
@ Y2
@ Y0
@ Y3
@ Y1 )
=> ( ( !! @ term
@ ^ [Y4: term] :
( ( var @ Y4 )
=> ( Y3 @ ( sub @ Y4 @ Y0 ) ) ) )
=> ( !! @ term
@ ^ [Y4: term] :
( ( var @ Y4 )
=> ( ( Y1 @ Y4 )
=> ( Y1 @ ( sub @ Y4 @ sh ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f360,f513]) ).
thf(f513,plain,
( pushprop_lem2v2_lthm
= ( ( !! @ 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 ) ) )
=> ( !! @ subst
@ ^ [Y0: subst] :
( !! @ ( term > $o )
@ ^ [Y1: term > $o] :
( !! @ term
@ ^ [Y2: term] :
( !! @ ( term > $o )
@ ^ [Y3: term > $o] :
( ( ^ [Y4: term,Y5: subst,Y6: term > $o,Y7: term > $o] :
( !! @ term
@ ^ [Y8: term] :
( ( Y7 @ Y8 )
= ( Y6 @ ( sub @ Y8 @ ( push @ Y4 @ Y5 ) ) ) ) )
@ Y2
@ Y0
@ Y3
@ Y1 )
=> ( ( !! @ term
@ ^ [Y4: term] :
( ( var @ Y4 )
=> ( Y3 @ ( sub @ Y4 @ Y0 ) ) ) )
=> ( !! @ term
@ ^ [Y4: term] :
( ( var @ Y4 )
=> ( ( Y1 @ Y4 )
=> ( Y1 @ ( sub @ Y4 @ sh ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f356,f418,f402,f490]) ).
thf(f490,plain,
( pushprop_lem2v2
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ ( term > $o )
@ ^ [Y1: term > $o] :
( !! @ term
@ ^ [Y2: term] :
( !! @ ( term > $o )
@ ^ [Y3: term > $o] :
( ( ^ [Y4: term,Y5: subst,Y6: term > $o,Y7: term > $o] :
( !! @ term
@ ^ [Y8: term] :
( ( Y7 @ Y8 )
= ( Y6 @ ( sub @ Y8 @ ( push @ Y4 @ Y5 ) ) ) ) )
@ Y2
@ Y0
@ Y3
@ Y1 )
=> ( ( !! @ term
@ ^ [Y4: term] :
( ( var @ Y4 )
=> ( Y3 @ ( sub @ Y4 @ Y0 ) ) ) )
=> ( !! @ term
@ ^ [Y4: term] :
( ( var @ Y4 )
=> ( ( Y1 @ Y4 )
=> ( Y1 @ ( sub @ Y4 @ sh ) ) ) ) ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f422,f355]) ).
thf(f355,plain,
( pushprop_p_and_p_prime
= ( ^ [Y0: term,Y1: subst,Y2: term > $o,Y3: term > $o] :
( !! @ term
@ ^ [Y4: term] :
( ( Y3 @ Y4 )
= ( Y2 @ ( sub @ Y4 @ ( push @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f128]) ).
thf(f128,plain,
( pushprop_p_and_p_prime
= ( ^ [Y0: term,Y1: subst,Y2: term > $o,Y3: term > $o] :
( !! @ term
@ ^ [Y4: term] :
( ( Y3 @ Y4 )
= ( Y2 @ ( sub @ Y4 @ ( push @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f127]) ).
thf(f127,plain,
( ( ^ [X0: term,X1: subst,X2: term > $o,X3: term > $o] :
! [X4: term] :
( ( X3 @ X4 )
<=> ( X2 @ ( sub @ X4 @ ( push @ X0 @ X1 ) ) ) ) )
= pushprop_p_and_p_prime ),
inference(rectify,[],[f24]) ).
thf(f24,axiom,
( ( ^ [X0: term,X2: subst,X5: term > $o,X8: term > $o] :
! [X9: term] :
( ( X8 @ X9 )
<=> ( X5 @ ( sub @ X9 @ ( push @ X0 @ X2 ) ) ) ) )
= pushprop_p_and_p_prime ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pushprop_p_and_p_prime) ).
thf(f422,plain,
( pushprop_lem2v2
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ ( term > $o )
@ ^ [Y1: term > $o] :
( !! @ term
@ ^ [Y2: term] :
( !! @ ( term > $o )
@ ^ [Y3: term > $o] :
( ( pushprop_p_and_p_prime @ Y2 @ Y0 @ Y3 @ Y1 )
=> ( ( !! @ term
@ ^ [Y4: term] :
( ( var @ Y4 )
=> ( Y3 @ ( sub @ Y4 @ Y0 ) ) ) )
=> ( !! @ term
@ ^ [Y4: term] :
( ( var @ Y4 )
=> ( ( Y1 @ Y4 )
=> ( Y1 @ ( sub @ Y4 @ sh ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f299]) ).
thf(f299,plain,
( pushprop_lem2v2
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ ( term > $o )
@ ^ [Y1: term > $o] :
( !! @ term
@ ^ [Y2: term] :
( !! @ ( term > $o )
@ ^ [Y3: term > $o] :
( ( pushprop_p_and_p_prime @ Y2 @ Y0 @ Y3 @ Y1 )
=> ( ( !! @ term
@ ^ [Y4: term] :
( ( var @ Y4 )
=> ( Y3 @ ( sub @ Y4 @ Y0 ) ) ) )
=> ( !! @ term
@ ^ [Y4: term] :
( ( var @ Y4 )
=> ( ( Y1 @ Y4 )
=> ( Y1 @ ( sub @ Y4 @ sh ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f298]) ).
thf(f298,plain,
( pushprop_lem2v2
= ( ! [X0: term > $o,X1: term,X2: term > $o,X3: subst] :
( ( pushprop_p_and_p_prime @ X1 @ X3 @ X0 @ X2 )
=> ( ! [X4: term] :
( ( var @ X4 )
=> ( X0 @ ( sub @ X4 @ X3 ) ) )
=> ! [X5: term] :
( ( var @ X5 )
=> ( ( X2 @ X5 )
=> ( X2 @ ( sub @ X5 @ sh ) ) ) ) ) ) ) ),
inference(rectify,[],[f34]) ).
thf(f34,axiom,
( pushprop_lem2v2
= ( ! [X5: term > $o,X0: term,X8: term > $o,X2: subst] :
( ( pushprop_p_and_p_prime @ X0 @ X2 @ X5 @ X8 )
=> ( ! [X1: term] :
( ( var @ X1 )
=> ( X5 @ ( sub @ X1 @ X2 ) ) )
=> ! [X6: term] :
( ( var @ X6 )
=> ( ( X8 @ X6 )
=> ( X8 @ ( sub @ X6 @ sh ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pushprop_lem2v2) ).
thf(f402,plain,
( axshiftcons
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( comp @ sh @ ( push @ Y1 @ Y0 ) )
= Y0 ) ) ) ),
inference(cnf_transformation,[],[f249]) ).
thf(f249,plain,
( axshiftcons
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( comp @ sh @ ( push @ Y1 @ Y0 ) )
= Y0 ) ) ) ),
inference(fool_elimination,[],[f248]) ).
thf(f248,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/sandbox2/benchmark/theBenchmark.p',axshiftcons) ).
thf(f418,plain,
( axclos
= ( !! @ term
@ ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub @ ( sub @ Y0 @ Y1 ) @ Y2 )
= ( sub @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f162]) ).
thf(f162,plain,
( axclos
= ( !! @ term
@ ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub @ ( sub @ Y0 @ Y1 ) @ Y2 )
= ( sub @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f161]) ).
thf(f161,plain,
( axclos
= ( ! [X0: subst,X1: subst,X2: term] :
( ( sub @ ( sub @ X2 @ X1 ) @ X0 )
= ( sub @ X2 @ ( comp @ X1 @ X0 ) ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f5,axiom,
( axclos
= ( ! [X3: subst,X2: subst,X0: term] :
( ( sub @ ( sub @ X0 @ X2 ) @ X3 )
= ( sub @ X0 @ ( comp @ X2 @ X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axclos) ).
thf(f356,plain,
( pushprop_lem2v2_lthm
= ( axclos
=> ( axshiftcons
=> pushprop_lem2v2 ) ) ),
inference(cnf_transformation,[],[f284]) ).
thf(f284,plain,
( pushprop_lem2v2_lthm
= ( axclos
=> ( axshiftcons
=> pushprop_lem2v2 ) ) ),
inference(fool_elimination,[],[f283]) ).
thf(f283,plain,
( ( pushprop_lem2v2_lthm = axclos )
=> ( axshiftcons
=> pushprop_lem2v2 ) ),
inference(rectify,[],[f36]) ).
thf(f36,axiom,
( ( pushprop_lem2v2_lthm = axclos )
=> ( axshiftcons
=> pushprop_lem2v2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pushprop_lem2v2_lthm) ).
thf(f360,plain,
pushprop_lem2v2_lthm != $true,
inference(cnf_transformation,[],[f329]) ).
thf(f329,plain,
pushprop_lem2v2_lthm != $true,
inference(flattening,[],[f310]) ).
thf(f310,plain,
pushprop_lem2v2_lthm != $true,
inference(fool_elimination,[],[f309]) ).
thf(f309,plain,
~ pushprop_lem2v2_lthm,
inference(rectify,[],[f115]) ).
thf(f115,negated_conjecture,
~ pushprop_lem2v2_lthm,
inference(negated_conjecture,[],[f114]) ).
thf(f114,conjecture,
pushprop_lem2v2_lthm,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).
thf(f600,plain,
( ( var @ sK5 )
= $false ),
inference(trivial_inequality_removal,[],[f598]) ).
thf(f598,plain,
( ( $true = $false )
| ( ( var @ sK5 )
= $false ) ),
inference(superposition,[],[f558,f596]) ).
thf(f596,plain,
( $false
= ( sK4 @ ( sub @ sK5 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f593]) ).
thf(f593,plain,
( ( $false
= ( sK4 @ ( sub @ sK5 @ sK1 ) ) )
| ( $true = $false ) ),
inference(superposition,[],[f588,f563]) ).
thf(f563,plain,
( ( sK2 @ ( sub @ sK5 @ sh ) )
= $false ),
inference(binary_proxy_clausification,[],[f561]) ).
thf(f561,plain,
( ( ( sK2 @ sK5 )
=> ( sK2 @ ( sub @ sK5 @ sh ) ) )
= $false ),
inference(binary_proxy_clausification,[],[f560]) ).
thf(f588,plain,
! [X0: term] :
( ( $true
= ( sK2 @ ( sub @ X0 @ sh ) ) )
| ( $false
= ( sK4 @ ( sub @ X0 @ sK1 ) ) ) ),
inference(superposition,[],[f567,f538]) ).
thf(f538,plain,
! [X2: term,X1: subst] :
( ( comp @ sh @ ( push @ X2 @ X1 ) )
= X1 ),
inference(equality_proxy_clausification,[],[f537]) ).
thf(f537,plain,
! [X2: term,X1: subst] :
( $true
= ( ( comp @ sh @ ( push @ X2 @ X1 ) )
= X1 ) ),
inference(beta_eta_normalization,[],[f536]) ).
thf(f536,plain,
! [X2: term,X1: subst] :
( $true
= ( ^ [Y0: term] :
( ( comp @ sh @ ( push @ Y0 @ X1 ) )
= X1 )
@ X2 ) ),
inference(pi_clausification,[],[f535]) ).
thf(f535,plain,
! [X1: subst] :
( $true
= ( !! @ term
@ ^ [Y0: term] :
( ( comp @ sh @ ( push @ Y0 @ X1 ) )
= X1 ) ) ),
inference(beta_eta_normalization,[],[f534]) ).
thf(f534,plain,
! [X1: subst] :
( ( ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( comp @ sh @ ( push @ Y1 @ Y0 ) )
= Y0 ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f533]) ).
thf(f533,plain,
( $true
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( comp @ sh @ ( push @ Y1 @ Y0 ) )
= Y0 ) ) ) ),
inference(binary_proxy_clausification,[],[f523]) ).
thf(f567,plain,
! [X0: term,X1: subst] :
( ( ( sK4 @ ( sub @ X0 @ ( comp @ X1 @ ( push @ sK3 @ sK1 ) ) ) )
= $false )
| ( $true
= ( sK2 @ ( sub @ X0 @ X1 ) ) ) ),
inference(superposition,[],[f552,f531]) ).
thf(f531,plain,
! [X2: subst,X3: subst,X1: term] :
( ( sub @ X1 @ ( comp @ X2 @ X3 ) )
= ( sub @ ( sub @ X1 @ X2 ) @ X3 ) ),
inference(equality_proxy_clausification,[],[f530]) ).
thf(f530,plain,
! [X2: subst,X3: subst,X1: term] :
( ( ( sub @ ( sub @ X1 @ X2 ) @ X3 )
= ( sub @ X1 @ ( comp @ X2 @ X3 ) ) )
= $true ),
inference(beta_eta_normalization,[],[f529]) ).
thf(f529,plain,
! [X2: subst,X3: subst,X1: term] :
( ( ^ [Y0: subst] :
( ( sub @ ( sub @ X1 @ X2 ) @ Y0 )
= ( sub @ X1 @ ( comp @ X2 @ Y0 ) ) )
@ X3 )
= $true ),
inference(pi_clausification,[],[f528]) ).
thf(f528,plain,
! [X2: subst,X1: term] :
( $true
= ( !! @ subst
@ ^ [Y0: subst] :
( ( sub @ ( sub @ X1 @ X2 ) @ Y0 )
= ( sub @ X1 @ ( comp @ X2 @ Y0 ) ) ) ) ),
inference(beta_eta_normalization,[],[f527]) ).
thf(f527,plain,
! [X2: subst,X1: term] :
( $true
= ( ^ [Y0: subst] :
( !! @ subst
@ ^ [Y1: subst] :
( ( sub @ ( sub @ X1 @ Y0 ) @ Y1 )
= ( sub @ X1 @ ( comp @ Y0 @ Y1 ) ) ) )
@ X2 ) ),
inference(pi_clausification,[],[f526]) ).
thf(f526,plain,
! [X1: term] :
( $true
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ subst
@ ^ [Y1: subst] :
( ( sub @ ( sub @ X1 @ Y0 ) @ Y1 )
= ( sub @ X1 @ ( comp @ Y0 @ Y1 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f525]) ).
thf(f525,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,[],[f524]) ).
thf(f524,plain,
( $true
= ( !! @ term
@ ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub @ ( sub @ Y0 @ Y1 ) @ Y2 )
= ( sub @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f522]) ).
thf(f552,plain,
! [X1: term] :
( ( ( sK4 @ ( sub @ X1 @ ( push @ sK3 @ sK1 ) ) )
= $false )
| ( ( sK2 @ X1 )
= $true ) ),
inference(binary_proxy_clausification,[],[f551]) ).
thf(f551,plain,
! [X1: term] :
( ( sK2 @ X1 )
= ( sK4 @ ( sub @ X1 @ ( push @ sK3 @ sK1 ) ) ) ),
inference(binary_proxy_clausification,[],[f550]) ).
thf(f550,plain,
! [X1: term] :
( ( ( sK2 @ X1 )
= ( sK4 @ ( sub @ X1 @ ( push @ sK3 @ sK1 ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f549]) ).
thf(f549,plain,
! [X1: term] :
( $true
= ( ^ [Y0: term] :
( ( sK2 @ Y0 )
= ( sK4 @ ( sub @ Y0 @ ( push @ sK3 @ sK1 ) ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f548]) ).
thf(f548,plain,
( ( !! @ term
@ ^ [Y0: term] :
( ( sK2 @ Y0 )
= ( sK4 @ ( sub @ Y0 @ ( push @ sK3 @ sK1 ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f546]) ).
thf(f558,plain,
! [X1: term] :
( ( $true
= ( sK4 @ ( sub @ X1 @ sK1 ) ) )
| ( ( var @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[],[f557]) ).
thf(f557,plain,
! [X1: term] :
( $true
= ( ( var @ X1 )
=> ( sK4 @ ( sub @ X1 @ sK1 ) ) ) ),
inference(beta_eta_normalization,[],[f556]) ).
thf(f556,plain,
! [X1: term] :
( $true
= ( ^ [Y0: term] :
( ( var @ Y0 )
=> ( sK4 @ ( sub @ Y0 @ sK1 ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f555]) ).
thf(f555,plain,
( $true
= ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( sK4 @ ( sub @ Y0 @ sK1 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f547]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ALG249^3 : TPTP v8.2.0. Bugfixed v5.2.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.35 % Computer : n002.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Sat May 18 23:23:23 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.35 This is a TH0_THM_EQU_NAR problem
% 0.12/0.35 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/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38 % (29418)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.38 % (29416)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)
% 0.12/0.38 % (29417)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)
% 0.12/0.38 % (29416)Instruction limit reached!
% 0.12/0.38 % (29416)------------------------------
% 0.12/0.38 % (29416)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38 % (29416)Termination reason: Unknown
% 0.12/0.38 % (29416)Termination phase: shuffling
% 0.12/0.38
% 0.12/0.38 % (29416)Memory used [KB]: 1279
% 0.12/0.38 % (29416)Time elapsed: 0.003 s
% 0.12/0.38 % (29416)Instructions burned: 3 (million)
% 0.12/0.38 % (29416)------------------------------
% 0.12/0.38 % (29416)------------------------------
% 0.12/0.38 % (29412)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.38 % (29419)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)
% 0.12/0.39 % (29419)Instruction limit reached!
% 0.12/0.39 % (29419)------------------------------
% 0.12/0.39 % (29419)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.39 % (29419)Termination reason: Unknown
% 0.12/0.39 % (29419)Termination phase: shuffling
% 0.12/0.39
% 0.12/0.39 % (29419)Memory used [KB]: 1279
% 0.12/0.39 % (29419)Time elapsed: 0.003 s
% 0.12/0.39 % (29419)Instructions burned: 4 (million)
% 0.12/0.39 % (29419)------------------------------
% 0.12/0.39 % (29419)------------------------------
% 0.12/0.39 % (29418)Instruction limit reached!
% 0.12/0.39 % (29418)------------------------------
% 0.12/0.39 % (29418)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.39 % (29418)Termination reason: Unknown
% 0.12/0.39 % (29418)Termination phase: Property scanning
% 0.12/0.39
% 0.12/0.39 % (29418)Memory used [KB]: 1663
% 0.12/0.39 % (29418)Time elapsed: 0.011 s
% 0.12/0.39 % (29418)Instructions burned: 19 (million)
% 0.12/0.39 % (29418)------------------------------
% 0.12/0.39 % (29418)------------------------------
% 0.12/0.39 % (29413)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)
% 0.12/0.39 % (29413)Instruction limit reached!
% 0.12/0.39 % (29413)------------------------------
% 0.12/0.39 % (29413)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.39 % (29413)Termination reason: Unknown
% 0.12/0.39 % (29413)Termination phase: shuffling
% 0.12/0.39
% 0.12/0.39 % (29413)Memory used [KB]: 1279
% 0.12/0.39 % (29413)Time elapsed: 0.004 s
% 0.12/0.39 % (29413)Instructions burned: 5 (million)
% 0.12/0.39 % (29413)------------------------------
% 0.12/0.39 % (29413)------------------------------
% 0.12/0.39 % (29415)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.39 % (29414)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)
% 0.12/0.39 % (29415)Instruction limit reached!
% 0.12/0.39 % (29415)------------------------------
% 0.12/0.39 % (29415)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.39 % (29415)Termination reason: Unknown
% 0.12/0.39 % (29415)Termination phase: shuffling
% 0.12/0.39
% 0.12/0.39 % (29415)Memory used [KB]: 1151
% 0.12/0.39 % (29415)Time elapsed: 0.003 s
% 0.12/0.39 % (29415)Instructions burned: 2 (million)
% 0.12/0.39 % (29415)------------------------------
% 0.12/0.39 % (29415)------------------------------
% 0.12/0.39 % (29420)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)
% 0.12/0.40 % (29417)Refutation not found, incomplete strategy
% 0.12/0.40 % (29417)------------------------------
% 0.12/0.40 % (29417)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.40 % (29417)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.40
% 0.12/0.40
% 0.12/0.40 % (29417)Memory used [KB]: 6140
% 0.12/0.40 % (29417)Time elapsed: 0.018 s
% 0.12/0.40 % (29417)Instructions burned: 27 (million)
% 0.12/0.40 % (29417)------------------------------
% 0.12/0.40 % (29417)------------------------------
% 0.12/0.40 % (29422)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)
% 0.12/0.40 % (29422)Instruction limit reached!
% 0.12/0.40 % (29422)------------------------------
% 0.12/0.40 % (29422)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.40 % (29422)Termination reason: Unknown
% 0.12/0.40 % (29422)Termination phase: shuffling
% 0.12/0.40
% 0.12/0.40 % (29422)Memory used [KB]: 1279
% 0.12/0.40 % (29422)Time elapsed: 0.003 s
% 0.12/0.40 % (29422)Instructions burned: 3 (million)
% 0.12/0.40 % (29422)------------------------------
% 0.12/0.40 % (29422)------------------------------
% 0.20/0.41 % (29414)Instruction limit reached!
% 0.20/0.41 % (29414)------------------------------
% 0.20/0.41 % (29414)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (29414)Termination reason: Unknown
% 0.20/0.41 % (29414)Termination phase: Property scanning
% 0.20/0.41
% 0.20/0.41 % (29414)Memory used [KB]: 1791
% 0.20/0.41 % (29414)Time elapsed: 0.016 s
% 0.20/0.41 % (29414)Instructions burned: 28 (million)
% 0.20/0.41 % (29414)------------------------------
% 0.20/0.41 % (29414)------------------------------
% 0.20/0.41 % (29423)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)
% 0.20/0.41 % (29421)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)
% 0.20/0.41 % (29424)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.41 % (29420)Instruction limit reached!
% 0.20/0.41 % (29420)------------------------------
% 0.20/0.41 % (29420)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (29420)Termination reason: Unknown
% 0.20/0.41 % (29420)Termination phase: Property scanning
% 0.20/0.41
% 0.20/0.41 % (29420)Memory used [KB]: 1791
% 0.20/0.41 % (29420)Time elapsed: 0.018 s
% 0.20/0.41 % (29420)Instructions burned: 39 (million)
% 0.20/0.41 % (29420)------------------------------
% 0.20/0.41 % (29420)------------------------------
% 0.20/0.41 % (29425)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.41 % (29424)Instruction limit reached!
% 0.20/0.41 % (29424)------------------------------
% 0.20/0.41 % (29424)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (29424)Termination reason: Unknown
% 0.20/0.41 % (29424)Termination phase: shuffling
% 0.20/0.41
% 0.20/0.41 % (29424)Memory used [KB]: 1407
% 0.20/0.41 % (29424)Time elapsed: 0.006 s
% 0.20/0.41 % (29424)Instructions burned: 7 (million)
% 0.20/0.41 % (29424)------------------------------
% 0.20/0.41 % (29424)------------------------------
% 0.20/0.41 % (29421)Instruction limit reached!
% 0.20/0.41 % (29421)------------------------------
% 0.20/0.41 % (29421)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (29421)Termination reason: Unknown
% 0.20/0.41 % (29421)Termination phase: Property scanning
% 0.20/0.41
% 0.20/0.41 % (29421)Memory used [KB]: 1663
% 0.20/0.41 % (29421)Time elapsed: 0.009 s
% 0.20/0.41 % (29421)Instructions burned: 15 (million)
% 0.20/0.41 % (29421)------------------------------
% 0.20/0.41 % (29421)------------------------------
% 0.20/0.42 % (29426)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.42 % (29425)Instruction limit reached!
% 0.20/0.42 % (29425)------------------------------
% 0.20/0.42 % (29425)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (29425)Termination reason: Unknown
% 0.20/0.42 % (29425)Termination phase: shuffling
% 0.20/0.42
% 0.20/0.42 % (29425)Memory used [KB]: 1535
% 0.20/0.42 % (29425)Time elapsed: 0.010 s
% 0.20/0.42 % (29425)Instructions burned: 16 (million)
% 0.20/0.42 % (29425)------------------------------
% 0.20/0.42 % (29425)------------------------------
% 0.20/0.42 % (29426)Instruction limit reached!
% 0.20/0.42 % (29426)------------------------------
% 0.20/0.42 % (29426)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (29426)Termination reason: Unknown
% 0.20/0.42 % (29426)Termination phase: shuffling
% 0.20/0.42
% 0.20/0.42 % (29426)Memory used [KB]: 1279
% 0.20/0.42 % (29426)Time elapsed: 0.003 s
% 0.20/0.42 % (29426)Instructions burned: 4 (million)
% 0.20/0.42 % (29426)------------------------------
% 0.20/0.42 % (29426)------------------------------
% 0.20/0.42 % (29427)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.42 % (29427)Instruction limit reached!
% 0.20/0.42 % (29427)------------------------------
% 0.20/0.42 % (29427)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (29427)Termination reason: Unknown
% 0.20/0.42 % (29427)Termination phase: shuffling
% 0.20/0.42
% 0.20/0.42 % (29427)Memory used [KB]: 1279
% 0.20/0.42 % (29427)Time elapsed: 0.004 s
% 0.20/0.42 % (29427)Instructions burned: 4 (million)
% 0.20/0.42 % (29427)------------------------------
% 0.20/0.42 % (29427)------------------------------
% 0.20/0.42 % (29412)First to succeed.
% 0.20/0.42 % (29428)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.43 % (29429)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.43 % (29428)Instruction limit reached!
% 0.20/0.43 % (29428)------------------------------
% 0.20/0.43 % (29428)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (29428)Termination reason: Unknown
% 0.20/0.43 % (29428)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (29428)Memory used [KB]: 1407
% 0.20/0.43 % (29428)Time elapsed: 0.005 s
% 0.20/0.43 % (29428)Instructions burned: 7 (million)
% 0.20/0.43 % (29428)------------------------------
% 0.20/0.43 % (29428)------------------------------
% 0.20/0.43 % (29412)Refutation found. Thanks to Tanya!
% 0.20/0.43 % SZS status Theorem for theBenchmark
% 0.20/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.43 % (29412)------------------------------
% 0.20/0.43 % (29412)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (29412)Termination reason: Refutation
% 0.20/0.43
% 0.20/0.43 % (29412)Memory used [KB]: 6780
% 0.20/0.43 % (29412)Time elapsed: 0.045 s
% 0.20/0.43 % (29412)Instructions burned: 99 (million)
% 0.20/0.43 % (29412)------------------------------
% 0.20/0.43 % (29412)------------------------------
% 0.20/0.43 % (29411)Success in time 0.067 s
% 0.20/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------